[{"article_number":"114260","article_type":"original","_id":"63192","user_id":"69553","department":[{"_id":"288"},{"_id":"623"},{"_id":"15"}],"status":"public","type":"journal_article","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/S0030399225018511?via%3Dihub","open_access":"1"}],"doi":"10.1016/j.optlastec.2025.114260","date_updated":"2025-12-18T08:27:13Z","oa":"1","author":[{"id":"69553","full_name":"Kirsch, Michelle","last_name":"Kirsch","first_name":"Michelle"},{"first_name":"Christian","full_name":"Kießler, Christian","id":"44252","last_name":"Kießler"},{"first_name":"Sebastian","id":"44373","full_name":"Lengeling, Sebastian","last_name":"Lengeling"},{"first_name":"Michael","last_name":"Stefszky","full_name":"Stefszky, Michael","id":"42777"},{"orcid":"https://orcid.org/0000-0002-5693-3083","last_name":"Eigner","full_name":"Eigner, Christof","id":"13244","first_name":"Christof"},{"first_name":"Harald","last_name":"Herrmann","id":"216","full_name":"Herrmann, Harald"},{"full_name":"Silberhorn, Christine","id":"26263","last_name":"Silberhorn","first_name":"Christine"}],"volume":193,"citation":{"mla":"Kirsch, Michelle, et al. “Photorefraction and In-Situ Optical Cleaning in Various Types of LiNbO3 Waveguides.” <i>Optics &#38; Laser Technology</i>, vol. 193, 114260, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">10.1016/j.optlastec.2025.114260</a>.","bibtex":"@article{Kirsch_Kießler_Lengeling_Stefszky_Eigner_Herrmann_Silberhorn_2025, title={Photorefraction and in-situ optical cleaning in various types of LiNbO3 waveguides}, volume={193}, DOI={<a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">10.1016/j.optlastec.2025.114260</a>}, number={114260}, journal={Optics &#38; Laser Technology}, publisher={Elsevier BV}, author={Kirsch, Michelle and Kießler, Christian and Lengeling, Sebastian and Stefszky, Michael and Eigner, Christof and Herrmann, Harald and Silberhorn, Christine}, year={2025} }","short":"M. Kirsch, C. Kießler, S. Lengeling, M. Stefszky, C. Eigner, H. Herrmann, C. Silberhorn, Optics &#38; Laser Technology 193 (2025).","apa":"Kirsch, M., Kießler, C., Lengeling, S., Stefszky, M., Eigner, C., Herrmann, H., &#38; Silberhorn, C. (2025). Photorefraction and in-situ optical cleaning in various types of LiNbO3 waveguides. <i>Optics &#38; Laser Technology</i>, <i>193</i>, Article 114260. <a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">https://doi.org/10.1016/j.optlastec.2025.114260</a>","chicago":"Kirsch, Michelle, Christian Kießler, Sebastian Lengeling, Michael Stefszky, Christof Eigner, Harald Herrmann, and Christine Silberhorn. “Photorefraction and In-Situ Optical Cleaning in Various Types of LiNbO3 Waveguides.” <i>Optics &#38; Laser Technology</i> 193 (2025). <a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">https://doi.org/10.1016/j.optlastec.2025.114260</a>.","ieee":"M. Kirsch <i>et al.</i>, “Photorefraction and in-situ optical cleaning in various types of LiNbO3 waveguides,” <i>Optics &#38; Laser Technology</i>, vol. 193, Art. no. 114260, 2025, doi: <a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">10.1016/j.optlastec.2025.114260</a>.","ama":"Kirsch M, Kießler C, Lengeling S, et al. Photorefraction and in-situ optical cleaning in various types of LiNbO3 waveguides. <i>Optics &#38; Laser Technology</i>. 2025;193. doi:<a href=\"https://doi.org/10.1016/j.optlastec.2025.114260\">10.1016/j.optlastec.2025.114260</a>"},"intvolume":"       193","publication_status":"published","publication_identifier":{"issn":["0030-3992"]},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Lithium niobate (LiNbO3) is a widely used material with several desirable physical properties, such as high second-order nonlinear optical and strong electro-optical effects. Thus LiNbO3 is used for various applications such as electro-optic modulation or nonlinear frequency conversion and mixing. But LiNbO3 also exhibits a strong photorefractive effect, which limits the intensity of the optical fields involved. Various approaches to reduce the photorefractive effect have been investigated, such as increasing the temperature, doping the crystal or using different waveguide designs in LiNbO3. Here, we present an analysis of the approach to increase the photorefractive damage threshold by using different waveguide designs. Contrary to previous claims and investigations, our SHG measurements revealed no significant difference in resistance to photorefractive damage when comparing conventional Ti-doped channel waveguides and Ti-doped diced ridge waveguides in LiNbO3. Furthermore, we have investigated the effect of photorefractive cleaning and curing using a light field at 532 nm. Here, we observe a reduction in the photorefractive effect at room temperature during and after SHG measurements, which is an easy alternative to conventional approaches."}],"publication":"Optics & Laser Technology","title":"Photorefraction and in-situ optical cleaning in various types of LiNbO3 waveguides","publisher":"Elsevier BV","date_created":"2025-12-18T08:17:57Z","year":"2025","quality_controlled":"1"},{"place":"Kassel","year":"2025","citation":{"ieee":"H. Schlieper, “La corte como mare errorum en La Cisma de Ingalaterra,” in <i>Cálculo y error. Recontando a Calderón. XX Coloquio Anglogermano sobre Calderón</i>, H. Ehrlicher and C. Grünnagel, Eds. Kassel: Edition Reichenberger, 2025, pp. 295–312.","chicago":"Schlieper, Hendrik. “La Corte Como Mare Errorum En La Cisma de Ingalaterra.” In <i>Cálculo y Error. Recontando a Calderón. XX Coloquio Anglogermano Sobre Calderón</i>, edited by Hanno  Ehrlicher and Christian Grünnagel, 295–312. Kassel: Edition Reichenberger, 2025.","ama":"Schlieper H. La corte como mare errorum en La Cisma de Ingalaterra. In: Ehrlicher H, Grünnagel C, eds. <i>Cálculo y Error. Recontando a Calderón. XX Coloquio Anglogermano Sobre Calderón</i>. Edition Reichenberger; 2025:295-312.","apa":"Schlieper, H. (2025). La corte como mare errorum en La Cisma de Ingalaterra. In H. Ehrlicher &#38; C. Grünnagel (Eds.), <i>Cálculo y error. Recontando a Calderón. XX Coloquio Anglogermano sobre Calderón</i> (pp. 295–312). Edition Reichenberger.","mla":"Schlieper, Hendrik. “La Corte Como Mare Errorum En La Cisma de Ingalaterra.” <i>Cálculo y Error. Recontando a Calderón. XX Coloquio Anglogermano Sobre Calderón</i>, edited by Hanno  Ehrlicher and Christian Grünnagel, Edition Reichenberger, 2025, pp. 295–312.","short":"H. Schlieper, in: H. Ehrlicher, C. Grünnagel (Eds.), Cálculo y Error. Recontando a Calderón. XX Coloquio Anglogermano Sobre Calderón, Edition Reichenberger, Kassel, 2025, pp. 295–312.","bibtex":"@inbook{Schlieper_2025, place={Kassel}, title={La corte como mare errorum en La Cisma de Ingalaterra}, booktitle={Cálculo y error. Recontando a Calderón. XX Coloquio Anglogermano sobre Calderón}, publisher={Edition Reichenberger}, author={Schlieper, Hendrik}, editor={Ehrlicher, Hanno  and Grünnagel, Christian}, year={2025}, pages={295–312} }"},"page":"295-312","title":"La corte como mare errorum en La Cisma de Ingalaterra","date_updated":"2025-12-17T16:35:57Z","publisher":"Edition Reichenberger","author":[{"first_name":"Hendrik","last_name":"Schlieper","full_name":"Schlieper, Hendrik","id":"48691"}],"date_created":"2025-12-17T16:35:32Z","editor":[{"first_name":"Hanno ","full_name":"Ehrlicher, Hanno ","last_name":"Ehrlicher"},{"first_name":"Christian","last_name":"Grünnagel","full_name":"Grünnagel, Christian"}],"status":"public","type":"book_chapter","publication":"Cálculo y error. Recontando a Calderón. XX Coloquio Anglogermano sobre Calderón","language":[{"iso":"eng"}],"_id":"63189","user_id":"48691","department":[{"_id":"116"}]},{"title":"Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems","conference":{"location":"Porto","name":"2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)"},"doi":"10.1109/etfa65518.2025.11205799","date_updated":"2025-12-18T09:12:48Z","publisher":"IEEE","author":[{"first_name":"Alexander","id":"47233","full_name":"Löwen, Alexander","last_name":"Löwen"},{"full_name":"Quirin, Dennis","last_name":"Quirin","first_name":"Dennis"},{"first_name":"Marc","full_name":"Hesse, Marc","last_name":"Hesse"},{"last_name":"Aimiyekagbon","full_name":"Aimiyekagbon, Osarenren Kennedy","id":"9557","first_name":"Osarenren Kennedy"},{"last_name":"Sextro","full_name":"Sextro, Walter","id":"21220","first_name":"Walter"}],"date_created":"2025-12-18T09:07:38Z","year":"2025","citation":{"ama":"Löwen A, Quirin D, Hesse M, Aimiyekagbon OK, Sextro W. Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems. In: <i>2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)</i>. IEEE; 2025. doi:<a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">10.1109/etfa65518.2025.11205799</a>","ieee":"A. Löwen, D. Quirin, M. Hesse, O. K. Aimiyekagbon, and W. Sextro, “Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems,” presented at the 2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA), Porto, 2025, doi: <a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">10.1109/etfa65518.2025.11205799</a>.","chicago":"Löwen, Alexander, Dennis Quirin, Marc Hesse, Osarenren Kennedy Aimiyekagbon, and Walter Sextro. “Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems.” In <i>2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)</i>. IEEE, 2025. <a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">https://doi.org/10.1109/etfa65518.2025.11205799</a>.","apa":"Löwen, A., Quirin, D., Hesse, M., Aimiyekagbon, O. K., &#38; Sextro, W. (2025). Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems. <i>2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)</i>. 2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA), Porto. <a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">https://doi.org/10.1109/etfa65518.2025.11205799</a>","bibtex":"@inproceedings{Löwen_Quirin_Hesse_Aimiyekagbon_Sextro_2025, title={Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems}, DOI={<a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">10.1109/etfa65518.2025.11205799</a>}, booktitle={2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)}, publisher={IEEE}, author={Löwen, Alexander and Quirin, Dennis and Hesse, Marc and Aimiyekagbon, Osarenren Kennedy and Sextro, Walter}, year={2025} }","mla":"Löwen, Alexander, et al. “Facilitating the Automated Generation of Data-Driven Models for the Diagnostics and Prognostics of Technical Systems.” <i>2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)</i>, IEEE, 2025, doi:<a href=\"https://doi.org/10.1109/etfa65518.2025.11205799\">10.1109/etfa65518.2025.11205799</a>.","short":"A. Löwen, D. Quirin, M. Hesse, O.K. Aimiyekagbon, W. Sextro, in: 2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA), IEEE, 2025."},"publication_status":"published","related_material":{"link":[{"relation":"confirmation","url":"https://ieeexplore.ieee.org/document/11205799"}]},"language":[{"iso":"eng"}],"project":[{"name":"Industrie 4.0 Ökosystem für den automatisierten Einsatz von datengetriebenen Services (I4.0AutoServ)","_id":"1483"}],"_id":"63193","user_id":"47233","department":[{"_id":"151"}],"abstract":[{"lang":"eng","text":"The integration of data-driven models and specifically machine learning for conditon monitoring and predictive maintenance into companies, especially small and medium-sized enterprises, offers significant opportunities in reducing costs, operating more sustainably, and maintaining long-term competitiveness. However, many small and medium-sized enterprises lack the necessary resources and expertise to derive knowledge from data and integrate their own machine learning based solutions. To address this challenge, a framework is presented that enables the automated generation of data-driven models with a particular focus on condition monitoring and predictive maintenance, but applicable to other use cases as well. Using a dataset from the 2022 data challenge of the prognostics and health management society, it is demonstrated that the framework can generate high-performing models, achieving F1-scores up to 0.998, exemplarily for a classification task."}],"status":"public","type":"conference","publication":"2025 IEEE 30th International Conference on Emerging Technologies and Factory Automation (ETFA)"},{"title":"Professionelle Wahrnehmung der Anforderungssituation 'Gespräche zum flexiblen Rechnen moderieren': Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis","conference":{"location":"Universität des Saarlandes, Saarbrücken","name":"58. Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"doi":"10.17877/DE290R-25881","publisher":"Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58","date_updated":"2025-12-18T09:55:01Z","date_created":"2025-12-12T12:38:28Z","author":[{"last_name":"Becker","full_name":"Becker, Federica","id":"65797","first_name":"Federica"}],"year":"2025","citation":{"apa":"Becker, F. (2025). <i>Professionelle Wahrnehmung der Anforderungssituation “Gespräche zum flexiblen Rechnen moderieren”: Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis</i>. 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Universität des Saarlandes, Saarbrücken. <a href=\"https://doi.org/10.17877/DE290R-25881\">https://doi.org/10.17877/DE290R-25881</a>","bibtex":"@inproceedings{Becker_2025, title={Professionelle Wahrnehmung der Anforderungssituation “Gespräche zum flexiblen Rechnen moderieren”: Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis}, DOI={<a href=\"https://doi.org/10.17877/DE290R-25881\">10.17877/DE290R-25881</a>}, publisher={Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58}, author={Becker, Federica}, year={2025} }","short":"F. Becker, in: Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58, 2025.","mla":"Becker, Federica. <i>Professionelle Wahrnehmung Der Anforderungssituation “Gespräche Zum Flexiblen Rechnen Moderieren”: Ein Vergleich Zwischen Angehenden Und Erfahrenen Lehrkräften Mittels Epistemic Network Analysis</i>. Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58, 2025, doi:<a href=\"https://doi.org/10.17877/DE290R-25881\">10.17877/DE290R-25881</a>.","ama":"Becker F. Professionelle Wahrnehmung der Anforderungssituation “Gespräche zum flexiblen Rechnen moderieren”: Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis. In: Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58; 2025. doi:<a href=\"https://doi.org/10.17877/DE290R-25881\">10.17877/DE290R-25881</a>","chicago":"Becker, Federica. “Professionelle Wahrnehmung Der Anforderungssituation ‘Gespräche Zum Flexiblen Rechnen Moderieren’: Ein Vergleich Zwischen Angehenden Und Erfahrenen Lehrkräften Mittels Epistemic Network Analysis.” Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58, 2025. <a href=\"https://doi.org/10.17877/DE290R-25881\">https://doi.org/10.17877/DE290R-25881</a>.","ieee":"F. Becker, “Professionelle Wahrnehmung der Anforderungssituation ‘Gespräche zum flexiblen Rechnen moderieren’: Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis,” presented at the 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Universität des Saarlandes, Saarbrücken, 2025, doi: <a href=\"https://doi.org/10.17877/DE290R-25881\">10.17877/DE290R-25881</a>."},"language":[{"iso":"eng"}],"_id":"63069","user_id":"65797","abstract":[{"text":"Im Beitrag wird die professionelle Unterrichtswahrnehmung von (angehenden) Lehrkräften bezogen auf die Anforderungssituation 'Gemeinsam Gespräche moderieren' im Kontext des flexiblen Rechnens in Jahrgangsstufe 1 betrachtet. Die Studie untersucht mittels Videovignetten expertise-bezogene Unterschiede in der professionellen Wahrnehmung, indem je 10 angehende und erfahrene Mathematiklehrkräfte betrachtet werden. Die zunächst inhaltsanalytisch ausgewerteten Daten der beiden Gruppen werden mittels der epistemischen Netzwerkanalyse verglichen. Es werden erste Ergebnisse berichtet.","lang":"eng"}],"status":"public","type":"conference"},{"type":"conference","status":"public","_id":"63194","user_id":"31046","department":[{"_id":"33"}],"language":[{"iso":"ger"}],"year":"2025","citation":{"apa":"Decker, C. (2025). <i>Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn</i>. Netzwerktagung Querschnittsthemen in der Lehrkräftebildung, Zeche Zollverein Essen.","short":"C. Decker, in: 2025.","bibtex":"@inproceedings{Decker_2025, title={Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn}, author={Decker, Claudia}, year={2025} }","mla":"Decker, Claudia. <i>Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn</i>. 2025.","chicago":"Decker, Claudia. “Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn,” 2025.","ieee":"C. Decker, “Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn,” presented at the Netzwerktagung Querschnittsthemen in der Lehrkräftebildung, Zeche Zollverein Essen, 2025.","ama":"Decker C. Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn. In: ; 2025."},"date_updated":"2025-12-18T10:42:16Z","author":[{"first_name":"Claudia","last_name":"Decker","id":"31046","full_name":"Decker, Claudia"}],"date_created":"2025-12-18T10:42:01Z","title":"Genese und Stand der Weiterentwicklung der Profile im Lehramtsstudium an der Universität Paderborn","conference":{"name":"Netzwerktagung Querschnittsthemen in der Lehrkräftebildung","start_date":"27.11.2025","end_date":"28.11.2025","location":"Zeche Zollverein Essen"}},{"language":[{"iso":"eng"}],"user_id":"98948","department":[{"_id":"792"}],"_id":"63199","status":"public","type":"conference","publication":"Proceedings of the International Conference on Information Systems 2025","main_file_link":[{"url":"https://aisel.aisnet.org/icis2025/cyb_security/cyb_security/8/"}],"title":"Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims","author":[{"first_name":"Gilbert Georg","last_name":"Hövel","full_name":"Hövel, Gilbert Georg","id":"100338"},{"last_name":"Brinkmeier","full_name":"Brinkmeier, Tim","first_name":"Tim"},{"full_name":"Trang, Simon Thanh-Nam","id":"98948","last_name":"Trang","orcid":"0000-0002-4784-4038","first_name":"Simon Thanh-Nam"}],"date_created":"2025-12-18T11:22:39Z","date_updated":"2025-12-18T11:22:59Z","citation":{"ieee":"G. G. Hövel, T. Brinkmeier, and S. T.-N. Trang, “Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims,” 2025.","chicago":"Hövel, Gilbert Georg, Tim Brinkmeier, and Simon Thanh-Nam Trang. “Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims.” In <i>Proceedings of the International Conference on Information Systems 2025</i>, 2025.","ama":"Hövel GG, Brinkmeier T, Trang ST-N. Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims. In: <i>Proceedings of the International Conference on Information Systems 2025</i>. ; 2025.","apa":"Hövel, G. G., Brinkmeier, T., &#38; Trang, S. T.-N. (2025). Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims. <i>Proceedings of the International Conference on Information Systems 2025</i>.","short":"G.G. Hövel, T. Brinkmeier, S.T.-N. Trang, in: Proceedings of the International Conference on Information Systems 2025, 2025.","mla":"Hövel, Gilbert Georg, et al. “Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims.” <i>Proceedings of the International Conference on Information Systems 2025</i>, 2025.","bibtex":"@inproceedings{Hövel_Brinkmeier_Trang_2025, title={Trust Me If You Can! Examining the Role of Ransomware Darknet Platforms in Building Trust Between Hackers and Victims}, booktitle={Proceedings of the International Conference on Information Systems 2025}, author={Hövel, Gilbert Georg and Brinkmeier, Tim and Trang, Simon Thanh-Nam}, year={2025} }"},"year":"2025"},{"_id":"63213","user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"article_number":"033152","article_type":"original","language":[{"iso":"eng"}],"type":"journal_article","publication":"Physical Review Research","abstract":[{"text":"<jats:p>Quantum uncertainty relations impose fundamental limits on the joint knowledge that can be acquired from complementary observables: Perfect knowledge of a quantum state in one basis implies maximal indetermination in all other mutually unbiased bases (MUBs). Uncertainty relations derived from joint properties of the MUBs are generally assumed to be uniform, irrespective of the specific observables chosen within a set. In this work, we demonstrate instead that the uncertainty relations can depend on the choice of observables. Through both experimental observation and numerical methods, we show that selecting different sets of three MUBs in a five-dimensional quantum system results in distinct uncertainty bounds, i.e., in varying degrees of complementarity, in terms of both entropy and variance.</jats:p>","lang":"eng"}],"status":"public","date_updated":"2025-12-18T16:05:45Z","publisher":"American Physical Society (APS)","date_created":"2025-12-18T16:04:45Z","author":[{"last_name":"Serino","id":"88242","full_name":"Serino, Laura Maria","first_name":"Laura Maria"},{"first_name":"Giovanni","last_name":"Chesi","full_name":"Chesi, Giovanni"},{"first_name":"Benjamin","orcid":"0000-0003-4140-0556 ","last_name":"Brecht","full_name":"Brecht, Benjamin","id":"27150"},{"full_name":"Maccone, Lorenzo","last_name":"Maccone","first_name":"Lorenzo"},{"last_name":"Macchiavello","full_name":"Macchiavello, Chiara","first_name":"Chiara"},{"first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine","id":"26263"}],"volume":7,"title":"Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations","doi":"10.1103/v24q-sl6n","publication_status":"published","publication_identifier":{"issn":["2643-1564"]},"issue":"3","year":"2025","citation":{"mla":"Serino, Laura Maria, et al. “Complementarity-Based Complementarity: The Choice of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.” <i>Physical Review Research</i>, vol. 7, no. 3, 033152, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/v24q-sl6n\">10.1103/v24q-sl6n</a>.","bibtex":"@article{Serino_Chesi_Brecht_Maccone_Macchiavello_Silberhorn_2025, title={Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations}, volume={7}, DOI={<a href=\"https://doi.org/10.1103/v24q-sl6n\">10.1103/v24q-sl6n</a>}, number={3033152}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Serino, Laura Maria and Chesi, Giovanni and Brecht, Benjamin and Maccone, Lorenzo and Macchiavello, Chiara and Silberhorn, Christine}, year={2025} }","short":"L.M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, C. Silberhorn, Physical Review Research 7 (2025).","apa":"Serino, L. M., Chesi, G., Brecht, B., Maccone, L., Macchiavello, C., &#38; Silberhorn, C. (2025). Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations. <i>Physical Review Research</i>, <i>7</i>(3), Article 033152. <a href=\"https://doi.org/10.1103/v24q-sl6n\">https://doi.org/10.1103/v24q-sl6n</a>","chicago":"Serino, Laura Maria, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone, Chiara Macchiavello, and Christine Silberhorn. “Complementarity-Based Complementarity: The Choice of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.” <i>Physical Review Research</i> 7, no. 3 (2025). <a href=\"https://doi.org/10.1103/v24q-sl6n\">https://doi.org/10.1103/v24q-sl6n</a>.","ieee":"L. M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, and C. Silberhorn, “Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations,” <i>Physical Review Research</i>, vol. 7, no. 3, Art. no. 033152, 2025, doi: <a href=\"https://doi.org/10.1103/v24q-sl6n\">10.1103/v24q-sl6n</a>.","ama":"Serino LM, Chesi G, Brecht B, Maccone L, Macchiavello C, Silberhorn C. Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations. <i>Physical Review Research</i>. 2025;7(3). doi:<a href=\"https://doi.org/10.1103/v24q-sl6n\">10.1103/v24q-sl6n</a>"},"intvolume":"         7"},{"author":[{"id":"429","full_name":"Riese, Josef","last_name":"Riese","orcid":"0000-0003-2927-2619","first_name":"Josef"},{"full_name":"Reinhold, Peter","id":"416","last_name":"Reinhold","first_name":"Peter"}],"date_created":"2025-12-18T14:53:55Z","publisher":"Verlag Julius Klinkhardt","date_updated":"2025-12-18T15:04:58Z","doi":"10.35468/hblb2025-076","title":"Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt","edition":"2","publication_status":"published","publication_identifier":{"isbn":["978-3-8365-6544-6"]},"citation":{"chicago":"Riese, Josef, and Peter Reinhold. “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt.” In <i>Handbuch Lehrerinnen- und Lehrerbildung</i>, edited by Colin Cramer, Johannes  König, and Martin Rothland, 2nd ed. Bad Heilbrunn: Verlag Julius Klinkhardt, 2025. <a href=\"https://doi.org/10.35468/hblb2025-076\">https://doi.org/10.35468/hblb2025-076</a>.","ieee":"J. Riese and P. Reinhold, “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt,” in <i>Handbuch Lehrerinnen- und Lehrerbildung</i>, 2nd ed., C. Cramer, J. König, and M. Rothland, Eds. Bad Heilbrunn: Verlag Julius Klinkhardt, 2025.","ama":"Riese J, Reinhold P. Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt. In: Cramer C, König J, Rothland M, eds. <i>Handbuch Lehrerinnen- und Lehrerbildung</i>. 2nd ed. Verlag Julius Klinkhardt; 2025. doi:<a href=\"https://doi.org/10.35468/hblb2025-076\">10.35468/hblb2025-076</a>","short":"J. Riese, P. Reinhold, in: C. Cramer, J. König, M. Rothland (Eds.), Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., Verlag Julius Klinkhardt, Bad Heilbrunn, 2025.","mla":"Riese, Josef, and Peter Reinhold. “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt.” <i>Handbuch Lehrerinnen- und Lehrerbildung</i>, edited by Colin Cramer et al., 2nd ed., Verlag Julius Klinkhardt, 2025, doi:<a href=\"https://doi.org/10.35468/hblb2025-076\">10.35468/hblb2025-076</a>.","bibtex":"@inbook{Riese_Reinhold_2025, place={Bad Heilbrunn}, edition={2}, title={Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt}, DOI={<a href=\"https://doi.org/10.35468/hblb2025-076\">10.35468/hblb2025-076</a>}, booktitle={Handbuch Lehrerinnen- und Lehrerbildung}, publisher={Verlag Julius Klinkhardt}, author={Riese, Josef and Reinhold, Peter}, editor={Cramer, Colin and König, Johannes  and Rothland, Martin}, year={2025} }","apa":"Riese, J., &#38; Reinhold, P. (2025). Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt. In C. Cramer, J. König, &#38; M. Rothland (Eds.), <i>Handbuch Lehrerinnen- und Lehrerbildung</i> (2nd ed.). Verlag Julius Klinkhardt. <a href=\"https://doi.org/10.35468/hblb2025-076\">https://doi.org/10.35468/hblb2025-076</a>"},"year":"2025","place":"Bad Heilbrunn","user_id":"429","department":[{"_id":"299"}],"_id":"63212","language":[{"iso":"ger"}],"type":"book_chapter","publication":"Handbuch Lehrerinnen- und Lehrerbildung","status":"public","editor":[{"last_name":"Cramer","full_name":"Cramer, Colin","first_name":"Colin"},{"first_name":"Johannes ","full_name":"König, Johannes ","last_name":"König"},{"first_name":"Martin","full_name":"Rothland, Martin","last_name":"Rothland"}]},{"external_id":{"arxiv":["2512.14285"]},"_id":"63187","user_id":"15540","department":[{"_id":"542"}],"language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2512.14285","status":"public","date_updated":"2025-12-18T13:17:18Z","date_created":"2025-12-17T14:40:23Z","author":[{"last_name":"Kidner","full_name":"Kidner, Arnott Jeffery Joel","id":"111755","first_name":"Arnott Jeffery Joel"},{"first_name":"Eckhard","full_name":"Steffen, Eckhard","id":"15548","orcid":"0000-0002-9808-7401","last_name":"Steffen"},{"first_name":"Weiqiang","last_name":"Yu","full_name":"Yu, Weiqiang","id":"117508"}],"title":"Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor","year":"2025","citation":{"mla":"Kidner, Arnott Jeffery Joel, et al. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” <i>ArXiv:2512.14285</i>, 2025.","short":"A.J.J. Kidner, E. Steffen, W. Yu, ArXiv:2512.14285 (2025).","bibtex":"@article{Kidner_Steffen_Yu_2025, title={Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor}, journal={arXiv:2512.14285}, author={Kidner, Arnott Jeffery Joel and Steffen, Eckhard and Yu, Weiqiang}, year={2025} }","apa":"Kidner, A. J. J., Steffen, E., &#38; Yu, W. (2025). Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. In <i>arXiv:2512.14285</i>.","chicago":"Kidner, Arnott Jeffery Joel, Eckhard Steffen, and Weiqiang Yu. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” <i>ArXiv:2512.14285</i>, 2025.","ieee":"A. J. J. Kidner, E. Steffen, and W. Yu, “Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor,” <i>arXiv:2512.14285</i>. 2025.","ama":"Kidner AJJ, Steffen E, Yu W. Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. <i>arXiv:251214285</i>. Published online 2025."}},{"user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"_id":"63214","language":[{"iso":"eng"}],"article_number":"023703","type":"journal_article","publication":"Physical Review A","status":"public","abstract":[{"text":"<jats:p>We study a possibility of measuring the time-resolved second-order autocorrelation function of one of two beams generated in type-II parametric down-conversion by means of temporal magnification of this beam, bringing its correlation time from the picosecond to the nanosecond scale, which can be resolved by modern photodetectors. We show that such a measurement enables one to infer directly the degree of global coherence of that beam, which is linked by a simple relation to the number of modes characterizing the entanglement between the two generated beams. We illustrate the proposed method by an example of photon pairs generated in a periodically poled potassium titanyl phosphate (KTP) crystal with a symmetric group velocity matching for various durations of the pump pulse, resulting in different numbers of modes. Our theoretical model also shows that the magnified double-heralded autocorrelation function of one beam exhibits a local maximum around zero delay time, corresponding to photon bunching at a short time scale.</jats:p>","lang":"eng"}],"date_created":"2025-12-18T16:06:13Z","author":[{"first_name":"Dmitri B.","full_name":"Horoshko, Dmitri B.","last_name":"Horoshko"},{"first_name":"Shivang","full_name":"Srivastava, Shivang","last_name":"Srivastava"},{"first_name":"Filip","full_name":"Sośnicki, Filip","last_name":"Sośnicki"},{"first_name":"Michał","last_name":"Mikołajczyk","full_name":"Mikołajczyk, Michał"},{"last_name":"Karpiński","full_name":"Karpiński, Michał","first_name":"Michał"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","id":"27150","orcid":"0000-0003-4140-0556 ","last_name":"Brecht"},{"first_name":"Mikhail I.","full_name":"Kolobov, Mikhail I.","last_name":"Kolobov"}],"volume":112,"publisher":"American Physical Society (APS)","date_updated":"2025-12-18T16:06:34Z","doi":"10.1103/7ckm-tm3r","title":"Time-resolved second-order autocorrelation function of parametric down-conversion","issue":"2","publication_status":"published","publication_identifier":{"issn":["2469-9926","2469-9934"]},"citation":{"chicago":"Horoshko, Dmitri B., Shivang Srivastava, Filip Sośnicki, Michał Mikołajczyk, Michał Karpiński, Benjamin Brecht, and Mikhail I. Kolobov. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” <i>Physical Review A</i> 112, no. 2 (2025). <a href=\"https://doi.org/10.1103/7ckm-tm3r\">https://doi.org/10.1103/7ckm-tm3r</a>.","ieee":"D. B. Horoshko <i>et al.</i>, “Time-resolved second-order autocorrelation function of parametric down-conversion,” <i>Physical Review A</i>, vol. 112, no. 2, Art. no. 023703, 2025, doi: <a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>.","ama":"Horoshko DB, Srivastava S, Sośnicki F, et al. Time-resolved second-order autocorrelation function of parametric down-conversion. <i>Physical Review A</i>. 2025;112(2). doi:<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>","apa":"Horoshko, D. B., Srivastava, S., Sośnicki, F., Mikołajczyk, M., Karpiński, M., Brecht, B., &#38; Kolobov, M. I. (2025). Time-resolved second-order autocorrelation function of parametric down-conversion. <i>Physical Review A</i>, <i>112</i>(2), Article 023703. <a href=\"https://doi.org/10.1103/7ckm-tm3r\">https://doi.org/10.1103/7ckm-tm3r</a>","short":"D.B. Horoshko, S. Srivastava, F. Sośnicki, M. Mikołajczyk, M. Karpiński, B. Brecht, M.I. Kolobov, Physical Review A 112 (2025).","mla":"Horoshko, Dmitri B., et al. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” <i>Physical Review A</i>, vol. 112, no. 2, 023703, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>.","bibtex":"@article{Horoshko_Srivastava_Sośnicki_Mikołajczyk_Karpiński_Brecht_Kolobov_2025, title={Time-resolved second-order autocorrelation function of parametric down-conversion}, volume={112}, DOI={<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>}, number={2023703}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Horoshko, Dmitri B. and Srivastava, Shivang and Sośnicki, Filip and Mikołajczyk, Michał and Karpiński, Michał and Brecht, Benjamin and Kolobov, Mikhail I.}, year={2025} }"},"intvolume":"       112","year":"2025"},{"user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"_id":"63215","language":[{"iso":"eng"}],"article_number":"025024","type":"journal_article","publication":"Quantum Science and Technology","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>High-dimensional time-frequency encodings have the potential to significantly advance quantum information science; however, practical applications require precise knowledge of the encoded quantum states, which becomes increasingly challenging for larger Hilbert spaces. Self-guided tomography (SGT) has emerged as a practical and scalable technique for this purpose in the spatial domain. Here, we apply SGT to estimate time-frequency states using a multi-output quantum pulse gate. We achieve fidelities of more than 99% for 3- and 5-dimensional states without the need for calibration or post-processing. We demonstrate the robustness of SGT against statistical and environmental noise, highlighting its efficacy in the photon-starved regime typical of quantum information applications.</jats:p>","lang":"eng"}],"author":[{"last_name":"Serino","full_name":"Serino, Laura Maria","id":"88242","first_name":"Laura Maria"},{"first_name":"Markus","full_name":"Rambach, Markus","last_name":"Rambach"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","id":"27150","orcid":"0000-0003-4140-0556 ","last_name":"Brecht"},{"last_name":"Romero","full_name":"Romero, Jacquiline","first_name":"Jacquiline"},{"first_name":"Christine","id":"26263","full_name":"Silberhorn, Christine","last_name":"Silberhorn"}],"date_created":"2025-12-18T16:07:11Z","volume":10,"date_updated":"2025-12-18T16:07:35Z","publisher":"IOP Publishing","doi":"10.1088/2058-9565/adb0ea","title":"Self-guided tomography of time-frequency qudits","issue":"2","publication_status":"published","publication_identifier":{"issn":["2058-9565"]},"citation":{"ama":"Serino LM, Rambach M, Brecht B, Romero J, Silberhorn C. Self-guided tomography of time-frequency qudits. <i>Quantum Science and Technology</i>. 2025;10(2). doi:<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>","chicago":"Serino, Laura Maria, Markus Rambach, Benjamin Brecht, Jacquiline Romero, and Christine Silberhorn. “Self-Guided Tomography of Time-Frequency Qudits.” <i>Quantum Science and Technology</i> 10, no. 2 (2025). <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">https://doi.org/10.1088/2058-9565/adb0ea</a>.","ieee":"L. M. Serino, M. Rambach, B. Brecht, J. Romero, and C. Silberhorn, “Self-guided tomography of time-frequency qudits,” <i>Quantum Science and Technology</i>, vol. 10, no. 2, Art. no. 025024, 2025, doi: <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>.","apa":"Serino, L. M., Rambach, M., Brecht, B., Romero, J., &#38; Silberhorn, C. (2025). Self-guided tomography of time-frequency qudits. <i>Quantum Science and Technology</i>, <i>10</i>(2), Article 025024. <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">https://doi.org/10.1088/2058-9565/adb0ea</a>","mla":"Serino, Laura Maria, et al. “Self-Guided Tomography of Time-Frequency Qudits.” <i>Quantum Science and Technology</i>, vol. 10, no. 2, 025024, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>.","bibtex":"@article{Serino_Rambach_Brecht_Romero_Silberhorn_2025, title={Self-guided tomography of time-frequency qudits}, volume={10}, DOI={<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>}, number={2025024}, journal={Quantum Science and Technology}, publisher={IOP Publishing}, author={Serino, Laura Maria and Rambach, Markus and Brecht, Benjamin and Romero, Jacquiline and Silberhorn, Christine}, year={2025} }","short":"L.M. Serino, M. Rambach, B. Brecht, J. Romero, C. Silberhorn, Quantum Science and Technology 10 (2025)."},"intvolume":"        10","year":"2025"},{"date_created":"2025-12-18T16:57:22Z","publisher":"Wiley","title":"The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples","issue":"7","quality_controlled":"1","year":"2025","language":[{"iso":"eng"}],"publication":"Advanced Theory and Simulations","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The quartz crystal microbalance with dissipation monitoring (QCM‐D) is routinely used to investigate structured samples. Here, a simulation technique is described, that predicts the shifts of frequency and half bandwidth, Δ<jats:italic>f<jats:sub>n</jats:sub></jats:italic> and ΔΓ<jats:italic><jats:sub>n</jats:sub></jats:italic>, of a quartz resonator operating on different overtone orders, <jats:italic>n</jats:italic>, induced by structured samples in contact with the resonator surface in liquid. The technique, abbreviated as FreqD‐LBM, solves the Stokes equation in the frequency domain. The solution provides the complex amplitude of the area‐averaged tangential stress at the resonator surface, from which Δ<jats:italic>f<jats:sub>n</jats:sub></jats:italic> and ΔΓ<jats:italic><jats:sub>n</jats:sub></jats:italic> are derived. Because the dynamical variables are complex amplitudes, the viscosity can be complex, as well. The technique naturally covers viscoelasticity. Limitations are linked to the grid resolution and to problems at large viscosity. Validation steps include viscoelastic films, rough surfaces, an oscillating cylinder in a viscous medium, and a free‐floating sphere above the resonator. Application examples are soft adsorbed particles, stiff adsorbed particles, and a large, immobile spherical cap above the resonator, which allows to study the high‐frequency properties of the material in the gap. FreqDLBM runs on an office PC and does not require expert knowledge of numerical techniques. It is accessible to an experimentalist.</jats:p>"}],"volume":8,"author":[{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"},{"first_name":"Paul","last_name":"Häusner","full_name":"Häusner, Paul"},{"full_name":"Langhoff, Arne","last_name":"Langhoff","first_name":"Arne"},{"last_name":"Leppin","id":"117722","full_name":"Leppin, Christian","first_name":"Christian"},{"first_name":"Ilya","full_name":"Reviakine, Ilya","last_name":"Reviakine"},{"last_name":"Vanoppen","full_name":"Vanoppen, Viktor","first_name":"Viktor"}],"date_updated":"2025-12-18T17:46:34Z","doi":"10.1002/adts.202401373","publication_identifier":{"issn":["2513-0390","2513-0390"]},"publication_status":"published","intvolume":"         8","citation":{"mla":"Johannsmann, Diethelm, et al. “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples.” <i>Advanced Theory and Simulations</i>, vol. 8, no. 7, 2401373, Wiley, 2025, doi:<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>.","short":"D. Johannsmann, P. Häusner, A. Langhoff, C. Leppin, I. Reviakine, V. Vanoppen, Advanced Theory and Simulations 8 (2025).","bibtex":"@article{Johannsmann_Häusner_Langhoff_Leppin_Reviakine_Vanoppen_2025, title={The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples}, volume={8}, DOI={<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>}, number={72401373}, journal={Advanced Theory and Simulations}, publisher={Wiley}, author={Johannsmann, Diethelm and Häusner, Paul and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Vanoppen, Viktor}, year={2025} }","apa":"Johannsmann, D., Häusner, P., Langhoff, A., Leppin, C., Reviakine, I., &#38; Vanoppen, V. (2025). The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples. <i>Advanced Theory and Simulations</i>, <i>8</i>(7), Article 2401373. <a href=\"https://doi.org/10.1002/adts.202401373\">https://doi.org/10.1002/adts.202401373</a>","ieee":"D. Johannsmann, P. Häusner, A. Langhoff, C. Leppin, I. Reviakine, and V. Vanoppen, “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples,” <i>Advanced Theory and Simulations</i>, vol. 8, no. 7, Art. no. 2401373, 2025, doi: <a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>.","chicago":"Johannsmann, Diethelm, Paul Häusner, Arne Langhoff, Christian Leppin, Ilya Reviakine, and Viktor Vanoppen. “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples.” <i>Advanced Theory and Simulations</i> 8, no. 7 (2025). <a href=\"https://doi.org/10.1002/adts.202401373\">https://doi.org/10.1002/adts.202401373</a>.","ama":"Johannsmann D, Häusner P, Langhoff A, Leppin C, Reviakine I, Vanoppen V. The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples. <i>Advanced Theory and Simulations</i>. 2025;8(7). doi:<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>"},"user_id":"117722","_id":"63223","article_number":"2401373","article_type":"original","type":"journal_article","status":"public"},{"abstract":[{"lang":"eng","text":"<jats:p>The solid electrolyte interphase (SEI) on the anode of lithium-ion batteries (LIBs) has been studied thoroughly due to its crucial importance to the battery’s long-term performance. At the same time, most studies of the SEI apply ex situ characterization methods, which may introduce artifacts or misinterpretations as they do not investigate the SEI in its unaltered state immersed in liquid battery electrolyte. Thus, in this work, we focus on using the non-destructive combination of electrochemical quartz crystal microbalance with dissipation monitoring (EQCM-D) and impedance spectroscopy (EIS) in the same electrochemical cell. EQCM-D can not only probe the solidified products of the SEI but also allows for the monitoring of viscoelastic layers and viscosity changes of the electrolyte at the interphase during the SEI formation. EIS complements those results by providing electrochemical properties of the formed interphase. Our results highlight substantial differences in the physical and electrochemical properties between the SEI formed on copper and on amorphous carbon and show how formation parameters and the additive vinylene carbonate (VC) influence their growth. The EQCM-D results show consistently that much thicker SEIs are formed on carbon substrates in comparison to copper substrates.</jats:p>"}],"status":"public","publication":"Batteries","type":"journal_article","article_type":"original","article_number":"273","language":[{"iso":"eng"}],"extern":"1","_id":"63222","user_id":"117722","year":"2025","intvolume":"        11","citation":{"short":"M. Stich, C. Leppin, F.T. Krauss, J.E. Valdes Landa, I. Pantenburg, B. Roling, A. Bund, Batteries 11 (2025).","mla":"Stich, Michael, et al. “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods.” <i>Batteries</i>, vol. 11, no. 7, 273, MDPI AG, 2025, doi:<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>.","bibtex":"@article{Stich_Leppin_Krauss_Valdes Landa_Pantenburg_Roling_Bund_2025, title={Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>}, number={7273}, journal={Batteries}, publisher={MDPI AG}, author={Stich, Michael and Leppin, Christian and Krauss, Falk Thorsten and Valdes Landa, Jesus Eduardo and Pantenburg, Isabel and Roling, Bernhard and Bund, Andreas}, year={2025} }","apa":"Stich, M., Leppin, C., Krauss, F. T., Valdes Landa, J. E., Pantenburg, I., Roling, B., &#38; Bund, A. (2025). Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods. <i>Batteries</i>, <i>11</i>(7), Article 273. <a href=\"https://doi.org/10.3390/batteries11070273\">https://doi.org/10.3390/batteries11070273</a>","ama":"Stich M, Leppin C, Krauss FT, et al. Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods. <i>Batteries</i>. 2025;11(7). doi:<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>","chicago":"Stich, Michael, Christian Leppin, Falk Thorsten Krauss, Jesus Eduardo Valdes Landa, Isabel Pantenburg, Bernhard Roling, and Andreas Bund. “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods.” <i>Batteries</i> 11, no. 7 (2025). <a href=\"https://doi.org/10.3390/batteries11070273\">https://doi.org/10.3390/batteries11070273</a>.","ieee":"M. Stich <i>et al.</i>, “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods,” <i>Batteries</i>, vol. 11, no. 7, Art. no. 273, 2025, doi: <a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>."},"publication_identifier":{"issn":["2313-0105"]},"quality_controlled":"1","publication_status":"published","issue":"7","title":"Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods","doi":"10.3390/batteries11070273","date_updated":"2025-12-18T17:47:08Z","publisher":"MDPI AG","volume":11,"date_created":"2025-12-18T16:56:12Z","author":[{"first_name":"Michael","full_name":"Stich, Michael","last_name":"Stich"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"last_name":"Krauss","full_name":"Krauss, Falk Thorsten","first_name":"Falk Thorsten"},{"first_name":"Jesus Eduardo","last_name":"Valdes Landa","full_name":"Valdes Landa, Jesus Eduardo"},{"first_name":"Isabel","full_name":"Pantenburg, Isabel","last_name":"Pantenburg"},{"first_name":"Bernhard","last_name":"Roling","full_name":"Roling, Bernhard"},{"full_name":"Bund, Andreas","last_name":"Bund","first_name":"Andreas"}]},{"doi":"10.3390/plants14050798","date_updated":"2025-12-18T17:41:57Z","volume":14,"author":[{"first_name":"Arne","last_name":"Langhoff","full_name":"Langhoff, Arne"},{"first_name":"Astrid","last_name":"Peschel","full_name":"Peschel, Astrid"},{"first_name":"Christian","last_name":"Leppin","id":"117722","full_name":"Leppin, Christian"},{"full_name":"Kruppert, Sebastian","last_name":"Kruppert","first_name":"Sebastian"},{"last_name":"Speck","full_name":"Speck, Thomas","first_name":"Thomas"},{"last_name":"Johannsmann","full_name":"Johannsmann, Diethelm","first_name":"Diethelm"}],"intvolume":"        14","citation":{"chicago":"Langhoff, Arne, Astrid Peschel, Christian Leppin, Sebastian Kruppert, Thomas Speck, and Diethelm Johannsmann. “Rapid Solidification of Plant Latices from Campanula Glomerata Driven by a Sudden Decrease in Hydrostatic Pressure.” <i>Plants</i> 14, no. 5 (2025). <a href=\"https://doi.org/10.3390/plants14050798\">https://doi.org/10.3390/plants14050798</a>.","ieee":"A. Langhoff, A. Peschel, C. Leppin, S. Kruppert, T. Speck, and D. Johannsmann, “Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure,” <i>Plants</i>, vol. 14, no. 5, Art. no. 798, 2025, doi: <a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>.","ama":"Langhoff A, Peschel A, Leppin C, Kruppert S, Speck T, Johannsmann D. Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure. <i>Plants</i>. 2025;14(5). doi:<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>","bibtex":"@article{Langhoff_Peschel_Leppin_Kruppert_Speck_Johannsmann_2025, title={Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure}, volume={14}, DOI={<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>}, number={5798}, journal={Plants}, publisher={MDPI AG}, author={Langhoff, Arne and Peschel, Astrid and Leppin, Christian and Kruppert, Sebastian and Speck, Thomas and Johannsmann, Diethelm}, year={2025} }","short":"A. Langhoff, A. Peschel, C. Leppin, S. Kruppert, T. Speck, D. Johannsmann, Plants 14 (2025).","mla":"Langhoff, Arne, et al. “Rapid Solidification of Plant Latices from Campanula Glomerata Driven by a Sudden Decrease in Hydrostatic Pressure.” <i>Plants</i>, vol. 14, no. 5, 798, MDPI AG, 2025, doi:<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>.","apa":"Langhoff, A., Peschel, A., Leppin, C., Kruppert, S., Speck, T., &#38; Johannsmann, D. (2025). Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure. <i>Plants</i>, <i>14</i>(5), Article 798. <a href=\"https://doi.org/10.3390/plants14050798\">https://doi.org/10.3390/plants14050798</a>"},"publication_identifier":{"issn":["2223-7747"]},"publication_status":"published","article_number":"798","article_type":"original","extern":"1","_id":"63224","user_id":"117722","status":"public","type":"journal_article","title":"Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure","publisher":"MDPI AG","date_created":"2025-12-18T16:58:15Z","year":"2025","issue":"5","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p>By monitoring the solidification of droplets of plant latices with a fast quartz crystal microbalance with dissipation monitoring (QCM-D), droplets from Campanula glomerata were found to solidify much faster than droplets from Euphorbia characias and also faster than droplets from all technical latices tested. A similar conclusion was drawn from optical videos, where the plants were injured and the milky fluid was stretched (sometimes forming fibers) after the cut. Rapid solidification cannot be explained with physical drying because physical drying is transport-limited and therefore is inherently slow. It can, however, be explained with coagulation being triggered by a sudden decrease in hydrostatic pressure. A mechanism based on a pressure drop is corroborated by optical videos of both plants being injured under water. While the liquid exuded by E. characias keeps streaming away, the liquid exuded by C. glomerata quickly forms a plug even under water. Presumably, the pressure drop causes an influx of serum into the laticifers. The serum, in turn, triggers a transition from a liquid–liquid phase separated state (an LLPS state) of a resin and hardener to a single-phase state. QCM measurements, optical videos, and cryo-SEM images suggest that LLPS plays a role in the solidification of C. glomerata.</jats:p>","lang":"eng"}],"publication":"Plants"},{"language":[{"iso":"eng"}],"publication":"Biomacromolecules","abstract":[{"lang":"eng","text":"Various polycations and polyanions were sequentially adsorbed onto the gold electrode of a quartz crystal microbalance with dissipation monitoring. The study focused on determining the adsorption kinetics, viscoelastic properties, and electroresponsivity of polyelectrolyte layers. For the first time, it was demonstrated that the structure (compact or expanded) of the layers can be determined by electroresponsivity. Viscoelastic modeling alone did not provide a conclusive answer as to whether the layers were compact or expanded. The study was further enriched by streaming potential and contact angle measurements, where polyelectrolyte multilayers were formed on mica. It was found that successive adsorption of layers led to periodic inversion of the zeta potential. Systematic differences were observed between the different top layers, which were explained by intermixing between layers. The presence or absence of interpenetration, as determined by the measurements of streaming potential and contact angles, correlated well with electroresponsivity."}],"publisher":"American Chemical Society (ACS)","date_created":"2025-12-18T16:59:12Z","title":"Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance","issue":"2","year":"2025","_id":"63225","user_id":"117722","article_type":"original","extern":"1","type":"journal_article","status":"public","date_updated":"2025-12-18T17:44:44Z","author":[{"first_name":"Christian","id":"117722","full_name":"Leppin, Christian","last_name":"Leppin"},{"last_name":"Pomorska","full_name":"Pomorska, Agata","first_name":"Agata"},{"first_name":"Maria","last_name":"Morga","full_name":"Morga, Maria"},{"last_name":"Pomastowski","full_name":"Pomastowski, Pawel","first_name":"Pawel"},{"full_name":"Fijałkowski, Piotr","last_name":"Fijałkowski","first_name":"Piotr"},{"first_name":"Aneta","full_name":"Michna, Aneta","last_name":"Michna"},{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"}],"volume":26,"doi":"10.1021/acs.biomac.4c01205","publication_status":"published","publication_identifier":{"issn":["1525-7797","1526-4602"]},"citation":{"ieee":"C. Leppin <i>et al.</i>, “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance,” <i>Biomacromolecules</i>, vol. 26, no. 2, pp. 914–928, 2025, doi: <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>.","chicago":"Leppin, Christian, Agata Pomorska, Maria Morga, Pawel Pomastowski, Piotr Fijałkowski, Aneta Michna, and Diethelm Johannsmann. “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance.” <i>Biomacromolecules</i> 26, no. 2 (2025): 914–28. <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">https://doi.org/10.1021/acs.biomac.4c01205</a>.","ama":"Leppin C, Pomorska A, Morga M, et al. Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. <i>Biomacromolecules</i>. 2025;26(2):914-928. doi:<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>","apa":"Leppin, C., Pomorska, A., Morga, M., Pomastowski, P., Fijałkowski, P., Michna, A., &#38; Johannsmann, D. (2025). Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. <i>Biomacromolecules</i>, <i>26</i>(2), 914–928. <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">https://doi.org/10.1021/acs.biomac.4c01205</a>","bibtex":"@article{Leppin_Pomorska_Morga_Pomastowski_Fijałkowski_Michna_Johannsmann_2025, title={Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance}, volume={26}, DOI={<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>}, number={2}, journal={Biomacromolecules}, publisher={American Chemical Society (ACS)}, author={Leppin, Christian and Pomorska, Agata and Morga, Maria and Pomastowski, Pawel and Fijałkowski, Piotr and Michna, Aneta and Johannsmann, Diethelm}, year={2025}, pages={914–928} }","mla":"Leppin, Christian, et al. “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance.” <i>Biomacromolecules</i>, vol. 26, no. 2, American Chemical Society (ACS), 2025, pp. 914–28, doi:<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>.","short":"C. Leppin, A. Pomorska, M. Morga, P. Pomastowski, P. Fijałkowski, A. Michna, D. Johannsmann, Biomacromolecules 26 (2025) 914–928."},"page":"914-928","intvolume":"        26"},{"date_updated":"2025-12-18T17:43:25Z","publisher":"Royal Society of Chemistry (RSC)","date_created":"2025-12-18T17:00:11Z","author":[{"first_name":"Christian","full_name":"Leppin, Christian","id":"117722","last_name":"Leppin"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"first_name":"Diethelm","full_name":"Johannsmann, Diethelm","last_name":"Johannsmann"}],"volume":27,"title":"A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting","doi":"10.1039/d5cp02691a","publication_status":"published","publication_identifier":{"issn":["1463-9076","1463-9084"]},"issue":"37","year":"2025","citation":{"chicago":"Leppin, Christian, Arne Langhoff, and Diethelm Johannsmann. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” <i>Physical Chemistry Chemical Physics</i> 27, no. 37 (2025): 19733–47. <a href=\"https://doi.org/10.1039/d5cp02691a\">https://doi.org/10.1039/d5cp02691a</a>.","ieee":"C. Leppin, A. Langhoff, and D. Johannsmann, “A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting,” <i>Physical Chemistry Chemical Physics</i>, vol. 27, no. 37, pp. 19733–19747, 2025, doi: <a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>.","ama":"Leppin C, Langhoff A, Johannsmann D. A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. <i>Physical Chemistry Chemical Physics</i>. 2025;27(37):19733-19747. doi:<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>","short":"C. Leppin, A. Langhoff, D. Johannsmann, Physical Chemistry Chemical Physics 27 (2025) 19733–19747.","mla":"Leppin, Christian, et al. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” <i>Physical Chemistry Chemical Physics</i>, vol. 27, no. 37, Royal Society of Chemistry (RSC), 2025, pp. 19733–47, doi:<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>.","bibtex":"@article{Leppin_Langhoff_Johannsmann_2025, title={A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting}, volume={27}, DOI={<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>}, number={37}, journal={Physical Chemistry Chemical Physics}, publisher={Royal Society of Chemistry (RSC)}, author={Leppin, Christian and Langhoff, Arne and Johannsmann, Diethelm}, year={2025}, pages={19733–19747} }","apa":"Leppin, C., Langhoff, A., &#38; Johannsmann, D. (2025). A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. <i>Physical Chemistry Chemical Physics</i>, <i>27</i>(37), 19733–19747. <a href=\"https://doi.org/10.1039/d5cp02691a\">https://doi.org/10.1039/d5cp02691a</a>"},"page":"19733-19747","intvolume":"        27","_id":"63226","user_id":"117722","article_type":"original","extern":"1","language":[{"iso":"eng"}],"type":"journal_article","publication":"Physical Chemistry Chemical Physics","abstract":[{"text":"<jats:p>Nanobubbles in water splitting are recognized by the EQCM-D. They are ubiquitous. Lifetimes are in the range of seconds.</jats:p>","lang":"eng"}],"status":"public"},{"year":"2025","intvolume":"        45","page":"65-70","citation":{"mla":"Schmitt-Richter, Lena Katharina, et al. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i>, vol. 45, no. 4, 2025, pp. 65–70.","bibtex":"@article{Schmitt-Richter_Wüllner_Schmidt_Ebeling_2025, title={Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf}, volume={45}, number={4}, journal={Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.}, author={Schmitt-Richter, Lena Katharina and Wüllner, Sabrina and Schmidt, Katharina and Ebeling, Muna}, year={2025}, pages={65–70} }","short":"L.K. Schmitt-Richter, S. Wüllner, K. Schmidt, M. Ebeling, Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45 (2025) 65–70.","apa":"Schmitt-Richter, L. K., Wüllner, S., Schmidt, K., &#38; Ebeling, M. (2025). Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i>, <i>45</i>(4), 65–70.","ama":"Schmitt-Richter LK, Wüllner S, Schmidt K, Ebeling M. Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. <i>Pädagogikunterricht Die Fachzeitschrift für die pädagogische Fächergruppe</i>. 2025;45(4):65-70.","ieee":"L. K. Schmitt-Richter, S. Wüllner, K. Schmidt, and M. Ebeling, “Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf,” <i>Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.</i>, vol. 45, no. 4, pp. 65–70, 2025.","chicago":"Schmitt-Richter, Lena Katharina, Sabrina Wüllner, Katharina Schmidt, and Muna Ebeling. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i> 45, no. 4 (2025): 65–70."},"issue":"4","title":"Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf","date_updated":"2025-12-18T18:42:16Z","volume":45,"author":[{"first_name":"Lena Katharina","last_name":"Schmitt-Richter","full_name":"Schmitt-Richter, Lena Katharina"},{"first_name":"Sabrina","last_name":"Wüllner","full_name":"Wüllner, Sabrina","id":"105046"},{"full_name":"Schmidt, Katharina","last_name":"Schmidt","first_name":"Katharina"},{"first_name":"Muna","full_name":"Ebeling, Muna","last_name":"Ebeling"}],"date_created":"2025-12-18T18:38:06Z","status":"public","publication":"Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.","type":"journal_article","language":[{"iso":"eng"}],"_id":"63241","user_id":"105046"},{"doi":"10.1007/s00033-025-02582-y","title":"Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities","date_created":"2025-12-18T19:03:19Z","author":[{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":76,"date_updated":"2025-12-18T20:13:25Z","publisher":"Springer Science and Business Media LLC","citation":{"ieee":"M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 76, no. 5, Art. no. 192, 2025, doi: <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>.","chicago":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 76, no. 5 (2025). <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">https://doi.org/10.1007/s00033-025-02582-y</a>.","ama":"Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2025;76(5). doi:<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>","bibtex":"@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).","mla":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>.","apa":"Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>76</i>(5), Article 192. <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">https://doi.org/10.1007/s00033-025-02582-y</a>"},"intvolume":"        76","year":"2025","issue":"5","publication_status":"published","publication_identifier":{"issn":["0044-2275","1420-9039"]},"language":[{"iso":"eng"}],"article_number":"192","user_id":"31496","_id":"63250","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    An initial-boundary value problem for\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>a</mml:mi>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>[</mml:mo>\r\n                                                <mml:mn>1</mml:mn>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mo>]</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msubsup>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                                <mml:mn>2</mml:mn>\r\n                                              </mml:msubsup>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    is considered in an open bounded real interval\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Ω</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    . Under the assumption that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma \\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    are such that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$k_\\gamma \\le \\gamma \\le K_\\gamma $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>k</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    as well as\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} |f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>|</mml:mo>\r\n                                      <mml:mi>f</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>|</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>K</mml:mi>\r\n                                      <mml:mi>f</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:mo>·</mml:mo>\r\n                                    <mml:msup>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>+</mml:mo>\r\n                                        <mml:mn>1</mml:mn>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>α</mml:mi>\r\n                                    </mml:msup>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    with some\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$k_\\gamma&gt;0, K_\\gamma&gt;0, K_f&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>k</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha &lt;\\frac{3}{2}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , for all suitably regular initial data of arbitrary size a statement on global existence of a global weak solution is derived. By particularly covering the thermodynamically consistent choice\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n                            <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    of predominant physical relevance, this appears to go beyond previous related literature which seems to either rely on independence of\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>γ</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    on\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Θ</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , or to operate on finite time intervals.\r\n                  </jats:p>","lang":"eng"}],"type":"journal_article","publication":"Zeitschrift für angewandte Mathematik und Physik"},{"intvolume":"        25","citation":{"ama":"Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution Equations</i>. 2025;25(4). doi:<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>","ieee":"M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities,” <i>Journal of Evolution Equations</i>, vol. 25, no. 4, Art. no. 108, 2025, doi: <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>.","chicago":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of Evolution Equations</i> 25, no. 4 (2025). <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">https://doi.org/10.1007/s00028-025-01144-z</a>.","short":"M. Winkler, Journal of Evolution Equations 25 (2025).","mla":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of Evolution Equations</i>, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>.","bibtex":"@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","apa":"Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution Equations</i>, <i>25</i>(4), Article 108. <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">https://doi.org/10.1007/s00028-025-01144-z</a>"},"year":"2025","issue":"4","publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","doi":"10.1007/s00028-025-01144-z","title":"Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities","volume":25,"date_created":"2025-12-18T19:02:51Z","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:13:11Z","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>a</mml:mi>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>[</mml:mo>\r\n                                                <mml:mn>1</mml:mn>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mo>]</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msubsup>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                                <mml:mn>2</mml:mn>\r\n                                              </mml:msubsup>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt materials is considered. By means of an approach based on maximal Sobolev regularity theory of scalar parabolic equations, it is shown that if\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma _0&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    is fixed, then there exists\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\delta =\\delta (\\gamma _0)&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>δ</mml:mi>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mi>δ</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    with the property that for suitably regular initial data of arbitrary size an associated initial boundary value problem posed in an open bounded interval admits a global classical solution whenever\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma \\in C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    are such that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$|f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>·</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>+</mml:mo>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mi>α</mml:mi>\r\n                            </mml:msup>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    for all\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\xi \\ge 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and some\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$K_f&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha &lt;\\frac{3}{2}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and that\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\gamma _0 \\le \\gamma (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:msub>\r\n                                      <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:mi>γ</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                      <mml:mi>ξ</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                    <mml:mo>+</mml:mo>\r\n                                    <mml:mi>δ</mml:mi>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                    <mml:mo>.</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    This is supplemented by a statement on global existence of certain strong solutions, particularly continuous in both components, under weaker conditions on the initial data.\r\n                  </jats:p>","lang":"eng"}],"publication":"Journal of Evolution Equations","type":"journal_article","language":[{"iso":"eng"}],"article_number":"108","user_id":"31496","_id":"63249"},{"issue":"1","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"citation":{"ama":"Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. <i>Calculus of Variations and Partial Differential Equations</i>. 2025;65(1). doi:<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>","chicago":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” <i>Calculus of Variations and Partial Differential Equations</i> 65, no. 1 (2025). <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">https://doi.org/10.1007/s00526-025-03170-8</a>.","ieee":"M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no. 1, Art. no. 1, 2025, doi: <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>.","short":"M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).","mla":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>.","bibtex":"@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","apa":"Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. <i>Calculus of Variations and Partial Differential Equations</i>, <i>65</i>(1), Article 1. <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">https://doi.org/10.1007/s00526-025-03170-8</a>"},"intvolume":"        65","year":"2025","author":[{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2025-12-18T19:01:02Z","volume":65,"date_updated":"2025-12-18T20:12:50Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00526-025-03170-8","title":"Rough solutions in one-dimensional nonlinear thermoelasticity","type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The hyperbolic-parabolic model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{ll} u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    for the evolution of the displacement variable\r\n                    <jats:italic>u</jats:italic>\r\n                    and the temperature\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta \\ge 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>Θ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    during thermoelastic interaction in a one-dimensional bounded interval\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Ω</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$(u_0,u_{0t},\\Theta _0)=(u,u_t,\\Theta )|_{t=0}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mrow>\r\n                                  <mml:mn>0</mml:mn>\r\n                                  <mml:mi>t</mml:mi>\r\n                                </mml:mrow>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>Θ</mml:mi>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:msub>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mi>t</mml:mi>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:mi>Θ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mrow>\r\n                                <mml:mo>|</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>=</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    when\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n                            <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , it seems to have remained open so far how far a solution theory can be built solely on the two fundamental physical principles of energy conservation and entropy nondecrease. The present manuscript addresses this by asserting global existence of weak solutions under assumptions which are energy- and entropy-minimal in the sense of allowing for any initial data\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$u_0\\in W_0^{1,2}(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msubsup>\r\n                              <mml:mi>W</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                              <mml:mrow>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mn>2</mml:mn>\r\n                              </mml:mrow>\r\n                            </mml:msubsup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    ,\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$u_{0t} \\in L^2(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mi>t</mml:mi>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$0\\le \\Theta _0\\in L^1(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>Θ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mn>1</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and which apply to arbitrary\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^1([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>1</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    with\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f'&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msup>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mo>′</mml:mo>\r\n                            </mml:msup>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    on\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$[0,\\infty )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mo>[</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    .\r\n                  </jats:p>","lang":"eng"}],"user_id":"31496","_id":"63246","language":[{"iso":"eng"}],"article_number":"1"}]
