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Weber, in: J. Buchner, C.F. Freisleben-Teutscher, J. Hüther, I. Neiske, K. Morisse, R. Reimer, K. Tengler, Verein Forum neue Medien in der Lehre Austria Graz (Eds.), Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, Books on Demand GmbH, Norderstedt, 2023.","mla":"Weber, Tassja. “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre.” Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, edited by Josef Buchner et al., Books on Demand GmbH, 2023.","apa":"Weber, T. (2023). Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre. In J. Buchner, C. F. Freisleben-Teutscher, J. Hüther, I. Neiske, K. Morisse, R. Reimer, K. Tengler, & Verein Forum neue Medien in der Lehre Austria Graz (Eds.), Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung. Books on Demand GmbH.","ieee":"T. Weber, “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre,” in Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, Chur (Schweiz), 2023.","chicago":"Weber, Tassja. “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre.” In Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, edited by Josef Buchner, Christian F. Freisleben-Teutscher, Judtih Hüther, Iris Neiske, Karsten Morisse, Ricarda Reimer, Karin Tengler, and Verein Forum neue Medien in der Lehre Austria Graz. Norderstedt: Books on Demand GmbH, 2023.","ama":"Weber T. Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre. In: Buchner J, Freisleben-Teutscher CF, Hüther J, et al., eds. Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung. Books on Demand GmbH; 2023."},"corporate_editor":["Verein Forum neue Medien in der Lehre Austria Graz"],"year":"2023","place":"Norderstedt","publication_status":"published","publication_identifier":{"isbn":["9783752645262"]},"language":[{"iso":"ger"}],"user_id":"89571","department":[{"_id":"544"}],"_id":"46958","status":"public","editor":[{"first_name":"Josef","last_name":"Buchner","full_name":"Buchner, Josef"},{"last_name":"Freisleben-Teutscher","full_name":"Freisleben-Teutscher, Christian F.","first_name":"Christian F."},{"full_name":"Hüther, Judtih","last_name":"Hüther","first_name":"Judtih"},{"last_name":"Neiske","full_name":"Neiske, Iris","first_name":"Iris"},{"full_name":"Morisse, Karsten","last_name":"Morisse","first_name":"Karsten"},{"full_name":"Reimer, Ricarda","last_name":"Reimer","first_name":"Ricarda"},{"first_name":"Karin","full_name":"Tengler, Karin","last_name":"Tengler"}],"type":"conference","publication":"Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung"},{"date_created":"2023-11-01T10:24:10Z","author":[{"first_name":"Tassja","id":"89571","full_name":"Weber, Tassja","last_name":"Weber"},{"full_name":"Flinz, Carolina","last_name":"Flinz","first_name":"Carolina"},{"first_name":"Ruth","full_name":"Mell, Ruth","last_name":"Mell"},{"first_name":"Christine","last_name":"Möhrs","full_name":"Möhrs, Christine"}],"publisher":"Narr Francke Attempto Verlag","date_updated":"2025-12-16T14:58:47Z","title":"Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven ","publication_status":"published","publication_identifier":{"isbn":["978-3-8233-9610-9"]},"citation":{"apa":"Weber, T., Flinz, C., Mell, R., & Möhrs, C. (2023). Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven . In M. Beißwenger, E. Gredel, L. Lemnitzer, & R. Schneider (Eds.), Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen. Narr Francke Attempto Verlag.","mla":"Weber, Tassja, et al. “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven .” Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, edited by Michael Beißwenger et al., Narr Francke Attempto Verlag, 2023.","bibtex":"@inbook{Weber_Flinz_Mell_Möhrs_2023, place={Tübingen}, series={Studien zur deutschen Sprache}, title={Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven }, booktitle={ Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen}, publisher={Narr Francke Attempto Verlag}, author={Weber, Tassja and Flinz, Carolina and Mell, Ruth and Möhrs, Christine}, editor={Beißwenger, Michael and Gredel, Eva and Lemnitzer, Lothar and Schneider, Roman}, year={2023}, collection={Studien zur deutschen Sprache} }","short":"T. Weber, C. Flinz, R. Mell, C. Möhrs, in: M. Beißwenger, E. Gredel, L. Lemnitzer, R. Schneider (Eds.), Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, Narr Francke Attempto Verlag, Tübingen, 2023.","ama":"Weber T, Flinz C, Mell R, Möhrs C. Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven . In: Beißwenger M, Gredel E, Lemnitzer L, Schneider R, eds. Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen. Studien zur deutschen Sprache. Narr Francke Attempto Verlag; 2023.","chicago":"Weber, Tassja, Carolina Flinz, Ruth Mell, and Christine Möhrs. “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven .” In Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, edited by Michael Beißwenger, Eva Gredel, Lothar Lemnitzer, and Roman Schneider. Studien zur deutschen Sprache. Tübingen: Narr Francke Attempto Verlag, 2023.","ieee":"T. Weber, C. Flinz, R. Mell, and C. Möhrs, “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven ,” in Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, M. Beißwenger, E. Gredel, L. Lemnitzer, and R. Schneider, Eds. Tübingen: Narr Francke Attempto Verlag, 2023."},"year":"2023","place":"Tübingen","user_id":"89571","series_title":"Studien zur deutschen Sprache","_id":"48582","language":[{"iso":"ger"}],"type":"book_chapter","publication":" Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen","status":"public","editor":[{"last_name":"Beißwenger","full_name":"Beißwenger, Michael","first_name":"Michael"},{"full_name":"Gredel, Eva","last_name":"Gredel","first_name":"Eva"},{"first_name":"Lothar","last_name":"Lemnitzer","full_name":"Lemnitzer, Lothar"},{"full_name":" Schneider, Roman","last_name":" Schneider","first_name":"Roman"}]},{"title":"Real objects as a reason for mathematical reasoning - A comparison of different task settings","volume":18,"date_created":"2025-12-17T08:53:34Z","author":[{"first_name":"S","full_name":"Jablonski, S","last_name":"Jablonski"}],"date_updated":"2025-12-17T08:56:14Z","intvolume":" 18","citation":{"mla":"Jablonski, S. Real Objects as a Reason for Mathematical Reasoning - A Comparison of Different Task Settings. no. 4, 2023.","bibtex":"@article{Jablonski_2023, title={Real objects as a reason for mathematical reasoning - A comparison of different task settings}, volume={18}, number={4}, author={Jablonski, S}, year={2023} }","short":"S. Jablonski, 18 (2023).","apa":"Jablonski, S. (2023). Real objects as a reason for mathematical reasoning - A comparison of different task settings. 18(4).","ama":"Jablonski S. Real objects as a reason for mathematical reasoning - A comparison of different task settings. 2023;18(4).","ieee":"S. Jablonski, “Real objects as a reason for mathematical reasoning - A comparison of different task settings,” vol. 18, no. 4, 2023.","chicago":"Jablonski, S. “Real Objects as a Reason for Mathematical Reasoning - A Comparison of Different Task Settings” 18, no. 4 (2023)."},"year":"2023","issue":"4","publication_identifier":{"issn":["1306-3030"]},"quality_controlled":"1","publication_status":"published","user_id":"111489","_id":"63172","status":"public","type":"journal_article"},{"page":"307-330","intvolume":" 113","citation":{"bibtex":"@article{Jablonski_2023, title={Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation}, volume={113}, DOI={10.1007/s10649-023-10215-2}, number={2}, journal={Educational Studies in Mathematics}, publisher={Springer Science and Business Media LLC}, author={Jablonski, Simone}, year={2023}, pages={307–330} }","short":"S. Jablonski, Educational Studies in Mathematics 113 (2023) 307–330.","mla":"Jablonski, Simone. “Is It All about the Setting? — A Comparison of Mathematical Modelling with Real Objects and Their Representation.” Educational Studies in Mathematics, vol. 113, no. 2, Springer Science and Business Media LLC, 2023, pp. 307–30, doi:10.1007/s10649-023-10215-2.","apa":"Jablonski, S. (2023). Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation. Educational Studies in Mathematics, 113(2), 307–330. https://doi.org/10.1007/s10649-023-10215-2","chicago":"Jablonski, Simone. “Is It All about the Setting? — A Comparison of Mathematical Modelling with Real Objects and Their Representation.” Educational Studies in Mathematics 113, no. 2 (2023): 307–30. https://doi.org/10.1007/s10649-023-10215-2.","ieee":"S. Jablonski, “Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation,” Educational Studies in Mathematics, vol. 113, no. 2, pp. 307–330, 2023, doi: 10.1007/s10649-023-10215-2.","ama":"Jablonski S. Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation. Educational Studies in Mathematics. 2023;113(2):307-330. doi:10.1007/s10649-023-10215-2"},"year":"2023","issue":"2","publication_identifier":{"issn":["0013-1954","1573-0816"]},"publication_status":"published","doi":"10.1007/s10649-023-10215-2","title":"Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation","volume":113,"date_created":"2024-12-04T10:46:14Z","author":[{"first_name":"Simone","last_name":"Jablonski","full_name":"Jablonski, Simone"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-17T08:56:50Z","status":"public","abstract":[{"text":"AbstractMathematical modelling emphasizes the connection between mathematics and reality — still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It is the aim of the study to analyze how far the mathematical modelling steps of students solving the tasks differ in comparison to the settings and representations. In a qualitative study, 19 lower secondary school students worked on tasks of all three settings in a Latin square design. Their working processes in the settings are compared with a special focus on the modelling steps Simplifying and Structuring, as well as Mathematizing. The analysis by means of activity diagrams and a qualitative content analysis shows that both steps are particularly relevant when students work with real objects — independent from the three settings. Still, differences in the actual activities could be observed in the students’ discussion on the appropriateness of a model and in dealing with inaccuracies at the real object. In addition, the process of data collection shows different procedures depending on the setting which presents each of them as an enrichment for the acquisition of modelling skills.","lang":"eng"}],"publication":"Educational Studies in Mathematics","type":"journal_article","language":[{"iso":"eng"}],"user_id":"111489","_id":"57556"},{"citation":{"ieee":"D. Höink, “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts,” Kirchenmusikalisches Jahrbuch, vol. 107, pp. 21–30, 2023.","chicago":"Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch 107 (2023): 21–30.","ama":"Höink D. Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch. 2023;107:21-30.","apa":"Höink, D. (2023). Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch, 107, 21–30.","short":"D. Höink, Kirchenmusikalisches Jahrbuch 107 (2023) 21–30.","mla":"Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch, vol. 107, 2023, pp. 21–30.","bibtex":"@article{Höink_2023, title={Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts}, volume={107}, journal={Kirchenmusikalisches Jahrbuch}, author={Höink, Dominik}, year={2023}, pages={21–30} }"},"intvolume":" 107","page":"21-30","year":"2023","publication_status":"published","title":"Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts","author":[{"first_name":"Dominik","last_name":"Höink","id":"90389","full_name":"Höink, Dominik"}],"date_created":"2023-11-17T07:28:53Z","volume":107,"date_updated":"2025-12-17T09:00:59Z","status":"public","type":"journal_article","publication":"Kirchenmusikalisches Jahrbuch","language":[{"iso":"ger"}],"user_id":"90389","department":[{"_id":"233"},{"_id":"716"}],"_id":"48994"},{"volume":13,"author":[{"first_name":"S","full_name":"Jablonski, S","last_name":"Jablonski"},{"first_name":"M","last_name":"Ludwig","full_name":"Ludwig, M"}],"date_created":"2025-12-17T08:53:33Z","date_updated":"2025-12-17T08:56:40Z","title":"Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice","issue":"7","quality_controlled":"1","publication_identifier":{"issn":["2227-7102"]},"publication_status":"published","intvolume":" 13","citation":{"ieee":"S. Jablonski and M. Ludwig, “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice,” vol. 13, no. 7, 2023.","chicago":"Jablonski, S, and M Ludwig. “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice” 13, no. 7 (2023).","ama":"Jablonski S, Ludwig M. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 2023;13(7).","mla":"Jablonski, S., and M. Ludwig. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. no. 7, 2023.","short":"S. Jablonski, M. Ludwig, 13 (2023).","bibtex":"@article{Jablonski_Ludwig_2023, title={Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice}, volume={13}, number={7}, author={Jablonski, S and Ludwig, M}, year={2023} }","apa":"Jablonski, S., & Ludwig, M. (2023). Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 13(7)."},"year":"2023","user_id":"111489","_id":"63168","type":"journal_article","status":"public"},{"title":"How digital tools support the validation of outdoor modelling results","date_updated":"2025-12-17T08:56:45Z","date_created":"2025-12-17T08:53:33Z","author":[{"last_name":"Jablonski","full_name":"Jablonski, S","first_name":"S"},{"full_name":"Barlovits, S","last_name":"Barlovits","first_name":"S"},{"last_name":"Ludwig","full_name":"Ludwig, M","first_name":"M"}],"volume":8,"year":"2023","citation":{"short":"S. Jablonski, S. Barlovits, M. Ludwig, 8 (2023).","bibtex":"@article{Jablonski_Barlovits_Ludwig_2023, title={How digital tools support the validation of outdoor modelling results}, volume={8}, author={Jablonski, S and Barlovits, S and Ludwig, M}, year={2023} }","mla":"Jablonski, S., et al. How Digital Tools Support the Validation of Outdoor Modelling Results. 2023.","apa":"Jablonski, S., Barlovits, S., & Ludwig, M. (2023). How digital tools support the validation of outdoor modelling results. 8.","chicago":"Jablonski, S, S Barlovits, and M Ludwig. “How Digital Tools Support the Validation of Outdoor Modelling Results” 8 (2023).","ieee":"S. Jablonski, S. Barlovits, and M. Ludwig, “How digital tools support the validation of outdoor modelling results,” vol. 8, 2023.","ama":"Jablonski S, Barlovits S, Ludwig M. How digital tools support the validation of outdoor modelling results. 2023;8."},"intvolume":" 8","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["2504-284X"]},"_id":"63171","user_id":"111489","status":"public","type":"journal_article"},{"year":"2023","citation":{"apa":"Decker, C., & Westphal, P. (2023). Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest.","short":"C. Decker, P. Westphal, in: 2023.","bibtex":"@inproceedings{Decker_Westphal_2023, title={Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation}, author={Decker, Claudia and Westphal, Petra}, year={2023} }","mla":"Decker, Claudia, and Petra Westphal. Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation. 2023.","ama":"Decker C, Westphal P. Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. In: ; 2023.","ieee":"C. Decker and P. Westphal, “Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation,” presented at the Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest, 2023.","chicago":"Decker, Claudia, and Petra Westphal. “Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation,” 2023."},"date_updated":"2025-12-18T10:49:44Z","date_created":"2025-12-18T10:49:37Z","author":[{"full_name":"Decker, Claudia","id":"31046","last_name":"Decker","first_name":"Claudia"},{"first_name":"Petra","last_name":"Westphal","id":"42377","full_name":"Westphal, Petra"}],"title":"Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation","conference":{"start_date":"11.11.2023","name":"Geschlechtersensible Bildung im Lehramtsstudium in NRW","location":"Soest"},"type":"conference","status":"public","_id":"63196","department":[{"_id":"33"}],"user_id":"31046","language":[{"iso":"eng"}]},{"department":[{"_id":"288"},{"_id":"623"},{"_id":"15"}],"user_id":"27150","_id":"44081","language":[{"iso":"eng"}],"keyword":["General Physics and Astronomy","Mathematical Physics","Applied Mathematics","Electronic","Optical and Magnetic Materials","Electrical and Electronic Engineering","General Computer Science"],"article_number":"020306","publication":"PRX Quantum","type":"journal_article","status":"public","volume":4,"author":[{"last_name":"Serino","id":"88242","full_name":"Serino, Laura","first_name":"Laura"},{"first_name":"Jano","full_name":"Gil López, Jano","id":"51223","last_name":"Gil López"},{"full_name":"Stefszky, Michael","id":"42777","last_name":"Stefszky","first_name":"Michael"},{"full_name":"Ricken, Raimund","last_name":"Ricken","first_name":"Raimund"},{"first_name":"Christof","full_name":"Eigner, Christof","id":"13244","last_name":"Eigner","orcid":"https://orcid.org/0000-0002-5693-3083"},{"orcid":"0000-0003-4140-0556 ","last_name":"Brecht","full_name":"Brecht, Benjamin","id":"27150","first_name":"Benjamin"},{"first_name":"Christine","last_name":"Silberhorn","id":"26263","full_name":"Silberhorn, Christine"}],"date_created":"2023-04-20T12:38:23Z","date_updated":"2025-12-18T16:15:18Z","publisher":"American Physical Society (APS)","doi":"10.1103/prxquantum.4.020306","title":"Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States","issue":"2","publication_identifier":{"issn":["2691-3399"]},"publication_status":"published","intvolume":" 4","citation":{"short":"L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, PRX Quantum 4 (2023).","mla":"Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum, vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:10.1103/prxquantum.4.020306.","bibtex":"@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023, title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}, volume={4}, DOI={10.1103/prxquantum.4.020306}, number={2020306}, journal={PRX Quantum}, publisher={American Physical Society (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2023} }","apa":"Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B., & Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum, 4(2), Article 020306. https://doi.org/10.1103/prxquantum.4.020306","ama":"Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum. 2023;4(2). doi:10.1103/prxquantum.4.020306","ieee":"L. Serino et al., “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States,” PRX Quantum, vol. 4, no. 2, Art. no. 020306, 2023, doi: 10.1103/prxquantum.4.020306.","chicago":"Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum 4, no. 2 (2023). https://doi.org/10.1103/prxquantum.4.020306."},"year":"2023"},{"user_id":"117722","_id":"63231","status":"public","type":"journal_article","doi":"10.1039/d3an00076a","author":[{"last_name":"Rott","full_name":"Rott, Emily","first_name":"Emily"},{"first_name":"Christian","full_name":"Leppin, Christian","id":"117722","last_name":"Leppin"},{"first_name":"Tim","last_name":"Diederichs","full_name":"Diederichs, Tim"},{"full_name":"Garidel, Patrick","last_name":"Garidel","first_name":"Patrick"},{"last_name":"Johannsmann","full_name":"Johannsmann, Diethelm","first_name":"Diethelm"}],"volume":148,"date_updated":"2025-12-18T17:38:31Z","citation":{"apa":"Rott, E., Leppin, C., Diederichs, T., Garidel, P., & Johannsmann, D. (2023). Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst, 148(8), 1887–1897. https://doi.org/10.1039/d3an00076a","short":"E. Rott, C. Leppin, T. Diederichs, P. Garidel, D. Johannsmann, The Analyst 148 (2023) 1887–1897.","mla":"Rott, Emily, et al. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst, vol. 148, no. 8, Royal Society of Chemistry (RSC), 2023, pp. 1887–97, doi:10.1039/d3an00076a.","bibtex":"@article{Rott_Leppin_Diederichs_Garidel_Johannsmann_2023, title={Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration}, volume={148}, DOI={10.1039/d3an00076a}, number={8}, journal={The Analyst}, publisher={Royal Society of Chemistry (RSC)}, author={Rott, Emily and Leppin, Christian and Diederichs, Tim and Garidel, Patrick and Johannsmann, Diethelm}, year={2023}, pages={1887–1897} }","ieee":"E. Rott, C. Leppin, T. Diederichs, P. Garidel, and D. Johannsmann, “Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration,” The Analyst, vol. 148, no. 8, pp. 1887–1897, 2023, doi: 10.1039/d3an00076a.","chicago":"Rott, Emily, Christian Leppin, Tim Diederichs, Patrick Garidel, and Diethelm Johannsmann. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst 148, no. 8 (2023): 1887–97. https://doi.org/10.1039/d3an00076a.","ama":"Rott E, Leppin C, Diederichs T, Garidel P, Johannsmann D. Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst. 2023;148(8):1887-1897. doi:10.1039/d3an00076a"},"intvolume":" 148","page":"1887-1897","publication_status":"published","publication_identifier":{"issn":["0003-2654","1364-5528"]},"language":[{"iso":"eng"}],"abstract":[{"text":"\r\n A QCM-D probes the temperature- and concentration-dependent complex high-frequency viscosity and provides information on protein-protein interactions in solutions of monoclonal antibodies.","lang":"eng"}],"publication":"The Analyst","title":"Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration","date_created":"2025-12-18T17:06:08Z","publisher":"Royal Society of Chemistry (RSC)","year":"2023","issue":"8","quality_controlled":"1"},{"date_created":"2025-12-18T17:03:12Z","publisher":"Wiley","title":"Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation","issue":"11","quality_controlled":"1","year":"2023","language":[{"iso":"eng"}],"publication":"Advanced Theory and Simulations","abstract":[{"text":"AbstractA simulation based on the frequency‐domain lattice Boltzmann method (FreqD‐LBM) is employed to predict the shifts of resonance frequency, Δf, and half bandwidth, ΔΓ, of a quartz crystal microbalance with dissipation monitoring (QCM‐D) induced by the adsorption of rigid spheres to the resonator surface. The comparison with the experimental values of Δf and ΔΓ allows to estimate the stiffness of the contacts between the spheres and the resonator surface. The contact stiffness is of interest in contact mechanics, but also in sensing because it depends on the properties of thin films situated between the resonator surface and the sphere. The simulation differs from previous implementations of FreqD‐LBM insofar, as the material inside the particles is not included in the FreqD‐LBM algorithm. Rather, the particle surface is configured to be an oscillating boundary. The amplitude of the particles' motions (displacement and rotation) is governed by the force balance at the surface of the particle. Because the contact stiffness enters this balance, it can be derived from experimental values of Δf and ΔΓ. The simulation reproduces experiments by the Krakow group. For sufficiently small spheres, a contact stiffness can be derived from the comparison of the simulation with the experiment.","lang":"eng"}],"volume":6,"author":[{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"}],"date_updated":"2025-12-18T17:41:08Z","doi":"10.1002/adts.202300190","publication_identifier":{"issn":["2513-0390","2513-0390"]},"publication_status":"published","intvolume":" 6","citation":{"short":"D. Johannsmann, C. Leppin, A. Langhoff, Advanced Theory and Simulations 6 (2023).","mla":"Johannsmann, Diethelm, et al. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations, vol. 6, no. 11, 2300190, Wiley, 2023, doi:10.1002/adts.202300190.","bibtex":"@article{Johannsmann_Leppin_Langhoff_2023, title={Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation}, volume={6}, DOI={10.1002/adts.202300190}, number={112300190}, journal={Advanced Theory and Simulations}, publisher={Wiley}, author={Johannsmann, Diethelm and Leppin, Christian and Langhoff, Arne}, year={2023} }","apa":"Johannsmann, D., Leppin, C., & Langhoff, A. (2023). Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations, 6(11), Article 2300190. https://doi.org/10.1002/adts.202300190","ama":"Johannsmann D, Leppin C, Langhoff A. Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations. 2023;6(11). doi:10.1002/adts.202300190","ieee":"D. Johannsmann, C. Leppin, and A. Langhoff, “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation,” Advanced Theory and Simulations, vol. 6, no. 11, Art. no. 2300190, 2023, doi: 10.1002/adts.202300190.","chicago":"Johannsmann, Diethelm, Christian Leppin, and Arne Langhoff. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations 6, no. 11 (2023). https://doi.org/10.1002/adts.202300190."},"user_id":"117722","_id":"63228","extern":"1","article_number":"2300190","article_type":"original","type":"journal_article","status":"public"},{"language":[{"iso":"eng"}],"extern":"1","article_number":"1348","user_id":"117722","_id":"63230","status":"public","abstract":[{"text":"Quartz crystal microbalance with dissipation monitoring (QCM-D) is a well-established technique for studying soft films. It can provide gravimetric as well as nongravimetric information about a film, such as its thickness and mechanical properties. The interpretation of sets of overtone-normalized frequency shifts, ∆f/n, and overtone-normalized shifts in half-bandwidth, ΔΓ/n, provided by QCM-D relies on a model that, in general, contains five independent parameters that are needed to describe film thickness and frequency-dependent viscoelastic properties. Here, we examine how noise inherent in experimental data affects the determination of these parameters. There are certain conditions where noise prevents the reliable determination of film thickness and the loss tangent. On the other hand, we show that there are conditions where it is possible to determine all five parameters. We relate these conditions to the mathematical properties of the model in terms of simple conceptual diagrams that can help users understand the model’s behavior. Finally, we present new open source software for QCM-D data analysis written in Python, PyQTM.","lang":"eng"}],"publication":"Sensors","type":"journal_article","doi":"10.3390/s23031348","title":"Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model","volume":23,"date_created":"2025-12-18T17:05:00Z","author":[{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"},{"full_name":"Langhoff, Arne","last_name":"Langhoff","first_name":"Arne"},{"first_name":"Christian","last_name":"Leppin","id":"117722","full_name":"Leppin, Christian"},{"last_name":"Reviakine","full_name":"Reviakine, Ilya","first_name":"Ilya"},{"first_name":"Anna M. C.","last_name":"Maan","full_name":"Maan, Anna M. C."}],"date_updated":"2025-12-18T17:39:52Z","publisher":"MDPI AG","intvolume":" 23","citation":{"ama":"Johannsmann D, Langhoff A, Leppin C, Reviakine I, Maan AMC. Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors. 2023;23(3). doi:10.3390/s23031348","ieee":"D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, and A. M. C. Maan, “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model,” Sensors, vol. 23, no. 3, Art. no. 1348, 2023, doi: 10.3390/s23031348.","chicago":"Johannsmann, Diethelm, Arne Langhoff, Christian Leppin, Ilya Reviakine, and Anna M. C. Maan. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors 23, no. 3 (2023). https://doi.org/10.3390/s23031348.","apa":"Johannsmann, D., Langhoff, A., Leppin, C., Reviakine, I., & Maan, A. M. C. (2023). Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors, 23(3), Article 1348. https://doi.org/10.3390/s23031348","short":"D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, A.M.C. Maan, Sensors 23 (2023).","mla":"Johannsmann, Diethelm, et al. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors, vol. 23, no. 3, 1348, MDPI AG, 2023, doi:10.3390/s23031348.","bibtex":"@article{Johannsmann_Langhoff_Leppin_Reviakine_Maan_2023, title={Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model}, volume={23}, DOI={10.3390/s23031348}, number={31348}, journal={Sensors}, publisher={MDPI AG}, author={Johannsmann, Diethelm and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Maan, Anna M. C.}, year={2023} }"},"year":"2023","issue":"3","quality_controlled":"1","publication_identifier":{"issn":["1424-8220"]},"publication_status":"published"},{"author":[{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"},{"first_name":"Judith","last_name":"Petri","full_name":"Petri, Judith"},{"first_name":"Christian","last_name":"Leppin","id":"117722","full_name":"Leppin, Christian"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"first_name":"Hozan","full_name":"Ibrahim, Hozan","last_name":"Ibrahim"}],"date_created":"2025-12-18T17:04:13Z","volume":45,"date_updated":"2025-12-18T17:40:25Z","publisher":"Elsevier BV","doi":"10.1016/j.rinp.2023.106219","title":"Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method","publication_status":"published","publication_identifier":{"issn":["2211-3797"]},"citation":{"short":"D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, H. Ibrahim, Results in Physics 45 (2023).","mla":"Johannsmann, Diethelm, et al. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics, vol. 45, 106219, Elsevier BV, 2023, doi:10.1016/j.rinp.2023.106219.","bibtex":"@article{Johannsmann_Petri_Leppin_Langhoff_Ibrahim_2023, title={Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method}, volume={45}, DOI={10.1016/j.rinp.2023.106219}, number={106219}, journal={Results in Physics}, publisher={Elsevier BV}, author={Johannsmann, Diethelm and Petri, Judith and Leppin, Christian and Langhoff, Arne and Ibrahim, Hozan}, year={2023} }","apa":"Johannsmann, D., Petri, J., Leppin, C., Langhoff, A., & Ibrahim, H. (2023). Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics, 45, Article 106219. https://doi.org/10.1016/j.rinp.2023.106219","ieee":"D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, and H. Ibrahim, “Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method,” Results in Physics, vol. 45, Art. no. 106219, 2023, doi: 10.1016/j.rinp.2023.106219.","chicago":"Johannsmann, Diethelm, Judith Petri, Christian Leppin, Arne Langhoff, and Hozan Ibrahim. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics 45 (2023). https://doi.org/10.1016/j.rinp.2023.106219.","ama":"Johannsmann D, Petri J, Leppin C, Langhoff A, Ibrahim H. Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics. 2023;45. doi:10.1016/j.rinp.2023.106219"},"intvolume":" 45","year":"2023","user_id":"117722","_id":"63229","extern":"1","language":[{"iso":"eng"}],"article_number":"106219","type":"journal_article","publication":"Results in Physics","status":"public"},{"publication_status":"published","publication_identifier":{"issn":["1079-9389"]},"issue":"11/12","year":"2023","citation":{"apa":"Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921","mla":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi:10.57262/ade028-1112-921.","short":"M. Winkler, Advances in Differential Equations 28 (2023).","bibtex":"@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }","ieee":"M. Winkler, “Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,” Advances in Differential Equations, vol. 28, no. 11/12, 2023, doi: 10.57262/ade028-1112-921.","chicago":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921.","ama":"Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921"},"intvolume":" 28","date_updated":"2025-12-18T20:07:12Z","publisher":"Khayyam Publishing, Inc","date_created":"2025-12-18T19:18:31Z","author":[{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"volume":28,"title":"Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing","doi":"10.57262/ade028-1112-921","type":"journal_article","publication":"Advances in Differential Equations","status":"public","_id":"63285","user_id":"31496","language":[{"iso":"eng"}]},{"publisher":"Walter de Gruyter GmbH","date_updated":"2025-12-18T20:07:34Z","date_created":"2025-12-18T19:19:35Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"volume":21,"title":"Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type","doi":"10.1515/math-2022-0578","publication_status":"published","publication_identifier":{"issn":["2391-5455"]},"issue":"1","year":"2023","citation":{"apa":"Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics, 21(1), Article 20220578. https://doi.org/10.1515/math-2022-0578","mla":"Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics, vol. 21, no. 1, 20220578, Walter de Gruyter GmbH, 2023, doi:10.1515/math-2022-0578.","bibtex":"@article{Winkler_2023, title={Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={10.1515/math-2022-0578}, number={120220578}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2023} }","short":"M. Winkler, Open Mathematics 21 (2023).","ieee":"M. Winkler, “Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type,” Open Mathematics, vol. 21, no. 1, Art. no. 20220578, 2023, doi: 10.1515/math-2022-0578.","chicago":"Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics 21, no. 1 (2023). https://doi.org/10.1515/math-2022-0578.","ama":"Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics. 2023;21(1). doi:10.1515/math-2022-0578"},"intvolume":" 21","_id":"63288","user_id":"31496","article_number":"20220578","language":[{"iso":"eng"}],"type":"journal_article","publication":"Open Mathematics","abstract":[{"text":"Abstract\r\n The Cauchy problem in \r\n \r\n \r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n {{\\mathbb{R}}}^{n}\r\n \r\n , \r\n \r\n \r\n \r\n n\r\n ≥\r\n 2\r\n \r\n n\\ge 2\r\n \r\n , for \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n \r\n t\r\n \r\n \r\n =\r\n Δ\r\n u\r\n −\r\n \r\n ∇\r\n \r\n ⋅\r\n \r\n (\r\n \r\n u\r\n S\r\n ⋅\r\n \r\n ∇\r\n \r\n v\r\n \r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n +\r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n (\r\n \r\n ⋆\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n \\begin{array}{r}\\left\\{\\phantom{\\rule[-1.25em]{}{0ex}}\\begin{array}{l}{u}_{t}=\\Delta u-\\nabla \\cdot \\left(uS\\cdot \\nabla v),\\\\ 0=\\Delta v+u,\\end{array}\\right.\\hspace{2.0em}\\hspace{2.0em}\\hspace{2.0em}\\left(\\star )\\end{array}\r\n \r\n is considered for general matrices \r\n \r\n \r\n \r\n S\r\n ∈\r\n \r\n \r\n R\r\n \r\n \r\n n\r\n ×\r\n n\r\n \r\n \r\n \r\n S\\in {{\\mathbb{R}}}^{n\\times n}\r\n \r\n . A theory of local-in-time classical existence and extensibility is developed in a framework that differs from those considered in large parts of the literature by involving bounded classical solutions. Specifically, it is shown that for all non-negative initial data belonging to \r\n \r\n \r\n \r\n BUC\r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n ∩\r\n \r\n \r\n L\r\n \r\n \r\n p\r\n \r\n \r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n \r\n {\\rm{BUC}}\\left({{\\mathbb{R}}}^{n})\\cap {L}^{p}\\left({{\\mathbb{R}}}^{n})\r\n \r\n with some \r\n \r\n \r\n \r\n p\r\n ∈\r\n \r\n [\r\n \r\n 1\r\n ,\r\n n\r\n \r\n )\r\n \r\n \r\n p\\in \\left[1,n)\r\n \r\n , there exist \r\n \r\n \r\n \r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n ∈\r\n \r\n (\r\n \r\n 0\r\n ,\r\n ∞\r\n \r\n ]\r\n \r\n \r\n {T}_{\\max }\\in \\left(0,\\infty ]\r\n \r\n and a uniquely determined \r\n \r\n \r\n \r\n u\r\n ∈\r\n \r\n \r\n C\r\n \r\n \r\n 0\r\n \r\n \r\n \r\n (\r\n \r\n \r\n [\r\n \r\n 0\r\n ,\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n )\r\n \r\n ;\r\n \r\n BUC\r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n \r\n )\r\n \r\n ∩\r\n \r\n \r\n C\r\n \r\n \r\n 0\r\n \r\n \r\n \r\n (\r\n \r\n \r\n [\r\n \r\n 0\r\n ,\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n )\r\n \r\n ;\r\n \r\n \r\n \r\n L\r\n \r\n \r\n p\r\n \r\n \r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n \r\n )\r\n \r\n ∩\r\n \r\n \r\n C\r\n \r\n \r\n ∞\r\n \r\n \r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n ×\r\n \r\n (\r\n \r\n 0\r\n ,\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n )\r\n \r\n \r\n )\r\n \r\n \r\n u\\in {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{\\rm{BUC}}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{L}^{p}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{\\infty }\\left({{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max }))\r\n \r\n such that with \r\n \r\n \r\n \r\n v\r\n ≔\r\n Γ\r\n ⋆\r\n u\r\n \r\n v:= \\Gamma \\star u\r\n \r\n , and with \r\n \r\n \r\n \r\n Γ\r\n \r\n \\Gamma \r\n \r\n denoting the Newtonian kernel on \r\n \r\n \r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n {{\\mathbb{R}}}^{n}\r\n \r\n , the pair \r\n \r\n \r\n \r\n \r\n (\r\n \r\n u\r\n ,\r\n v\r\n \r\n )\r\n \r\n \r\n \\left(u,v)\r\n \r\n forms a classical solution of (\r\n \r\n \r\n \r\n ⋆\r\n \r\n \\star \r\n \r\n ) in \r\n \r\n \r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n ×\r\n \r\n (\r\n \r\n 0\r\n ,\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n )\r\n \r\n \r\n {{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max })\r\n \r\n , which has the property that \r\n \r\n \r\n \r\n \r\n if\r\n \r\n \r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n <\r\n ∞\r\n ,\r\n \r\n \r\n \r\n then both\r\n \r\n \r\n \r\n \r\n \r\n limsup\r\n \r\n \r\n t\r\n ↗\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n \r\n \r\n \r\n ‖\r\n u\r\n \r\n (\r\n \r\n ⋅\r\n ,\r\n t\r\n \r\n )\r\n \r\n ‖\r\n \r\n \r\n \r\n \r\n L\r\n \r\n \r\n ∞\r\n \r\n \r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n \r\n \r\n =\r\n ∞\r\n \r\n \r\n and\r\n \r\n \r\n \r\n \r\n limsup\r\n \r\n \r\n t\r\n ↗\r\n \r\n \r\n T\r\n \r\n \r\n max\r\n \r\n \r\n \r\n \r\n \r\n \r\n ‖\r\n \r\n ∇\r\n \r\n v\r\n \r\n (\r\n \r\n ⋅\r\n ,\r\n t\r\n \r\n )\r\n \r\n ‖\r\n \r\n \r\n \r\n \r\n L\r\n \r\n \r\n ∞\r\n \r\n \r\n \r\n (\r\n \r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n )\r\n \r\n \r\n \r\n =\r\n ∞\r\n .\r\n \r\n \\hspace{0.1em}\\text{if}\\hspace{0.1em}\\hspace{0.33em}{T}_{\\max }\\lt \\infty ,\\hspace{1.0em}\\hspace{0.1em}\\text{then both}\\hspace{0.1em}\\hspace{0.33em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert u\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty \\hspace{1.0em}\\hspace{0.1em}\\text{and}\\hspace{0.1em}\\hspace{1.0em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert \\nabla v\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty .\r\n \r\n An exemplary application of this provides a result on global classical solvability in cases when \r\n \r\n \r\n \r\n ∣\r\n S\r\n +\r\n 1\r\n ∣\r\n \r\n | S+{\\bf{1}}| \r\n \r\n is sufficiently small, where \r\n \r\n \r\n \r\n 1\r\n =\r\n diag\r\n \r\n \r\n (\r\n \r\n 1\r\n ,\r\n \r\n …\r\n \r\n ,\r\n 1\r\n \r\n )\r\n \r\n \r\n {\\bf{1}}={\\rm{diag}}\\hspace{0.33em}\\left(1,\\ldots ,1)\r\n \r\n .","lang":"eng"}],"status":"public"},{"year":"2023","citation":{"ieee":"M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity,” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, pp. 919–959, 2023, doi: 10.1007/s41808-023-00230-y.","chicago":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.","ama":"Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y","bibtex":"@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }","short":"M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.","mla":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:10.1007/s41808-023-00230-y.","apa":"Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y"},"page":"919-959","intvolume":" 9","publication_status":"published","publication_identifier":{"issn":["2296-9020","2296-9039"]},"issue":"2","title":"Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity","doi":"10.1007/s41808-023-00230-y","publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:07:25Z","date_created":"2025-12-18T19:19:13Z","author":[{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":9,"abstract":[{"lang":"eng","text":"AbstractThe Cauchy problem in $$\\mathbb {R}^n$$\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n is considered for the Keller–Segel system $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\ 0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n Δ\r\n u\r\n -\r\n ∇\r\n ·\r\n \r\n (\r\n u\r\n ∇\r\n v\r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n +\r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n (\r\n ⋆\r\n )\r\n \r\n \r\n \r\n \r\n \r\n \r\n with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric initial data $$u_0$$\r\n \r\n u\r\n 0\r\n \r\n with non-integrable behavior at spatial infinity. It is shown that if $$u_0$$\r\n \r\n u\r\n 0\r\n \r\n is continuous and bounded, then ($$\\star $$\r\n ⋆\r\n ) admits a local-in-time classical solution, whereas if $$u_0(x)\\rightarrow +\\infty $$\r\n \r\n \r\n u\r\n 0\r\n \r\n \r\n (\r\n x\r\n )\r\n \r\n →\r\n +\r\n ∞\r\n \r\n as $$|x|\\rightarrow \\infty $$\r\n \r\n |\r\n x\r\n |\r\n →\r\n ∞\r\n \r\n , then no such solution can be found. Furthermore, a collection of three sufficient criteria for either global existence or global nonexistence indicates that with respect to the occurrence of finite-time blow-up, spatial decay properties of an explicit singular steady state plays a critical role. In particular, this underlines that explosions in ($$\\star $$\r\n ⋆\r\n ) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails."}],"status":"public","type":"journal_article","publication":"Journal of Elliptic and Parabolic Equations","language":[{"iso":"eng"}],"_id":"63287","user_id":"31496"},{"type":"journal_article","publication":"Journal of Differential Equations","status":"public","user_id":"31496","_id":"63289","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"citation":{"chicago":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.","ieee":"M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems,” Journal of Differential Equations, vol. 374, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.","ama":"Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029","apa":"Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029","mla":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029.","short":"M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.","bibtex":"@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }"},"page":"1-28","intvolume":" 374","year":"2023","date_created":"2025-12-18T19:19:57Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"},{"full_name":"Yokota, Tomomi","last_name":"Yokota","first_name":"Tomomi"}],"volume":374,"date_updated":"2025-12-18T20:07:42Z","publisher":"Elsevier BV","doi":"10.1016/j.jde.2023.07.029","title":"Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems"},{"language":[{"iso":"eng"}],"_id":"63271","user_id":"31496","abstract":[{"text":" As a simplified version of a three-component taxis cascade model accounting for different migration strategies of two population groups in search of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional bounded convex domain with smooth boundary. For any given conveniently regular and biologically meaningful initial data, smallness conditions on the prescribed resource growth and on the initial nutrient signal concentration are identified which ensure the global existence of a global classical solution to the corresponding no-flux initial-boundary value problem. Moreover, under additional assumptions on the food production source these solutions are shown to be bounded, and to stabilize toward semi-trivial equilibria in the large time limit, respectively. ","lang":"eng"}],"status":"public","type":"journal_article","publication":"Mathematical Models and Methods in Applied Sciences","title":"Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers","doi":"10.1142/s0218202523500045","date_updated":"2025-12-18T20:10:55Z","publisher":"World Scientific Pub Co Pte Ltd","date_created":"2025-12-18T19:12:35Z","author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":33,"year":"2023","citation":{"apa":"Tao, Y., & Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences, 33(01), 103–138. https://doi.org/10.1142/s0218202523500045","bibtex":"@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={10.1142/s0218202523500045}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }","short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.","mla":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi:10.1142/s0218202523500045.","ama":"Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences. 2023;33(01):103-138. doi:10.1142/s0218202523500045","chicago":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences 33, no. 01 (2023): 103–38. https://doi.org/10.1142/s0218202523500045.","ieee":"Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, pp. 103–138, 2023, doi: 10.1142/s0218202523500045."},"page":"103-138","intvolume":" 33","publication_status":"published","publication_identifier":{"issn":["0218-2025","1793-6314"]},"issue":"01"},{"status":"public","type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations","article_number":"180","language":[{"iso":"eng"}],"_id":"63267","user_id":"31496","year":"2023","citation":{"ieee":"J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, Art. no. 180, 2023, doi: 10.1007/s00526-023-02523-5.","chicago":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations 62, no. 6 (2023). https://doi.org/10.1007/s00526-023-02523-5.","ama":"Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations. 2023;62(6). doi:10.1007/s00526-023-02523-5","mla":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi:10.1007/s00526-023-02523-5.","bibtex":"@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={10.1007/s00526-023-02523-5}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }","short":"J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).","apa":"Ahn, J., & Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations, 62(6), Article 180. https://doi.org/10.1007/s00526-023-02523-5"},"intvolume":" 62","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"issue":"6","title":"A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system","doi":"10.1007/s00526-023-02523-5","date_updated":"2025-12-18T20:10:21Z","publisher":"Springer Science and Business Media LLC","date_created":"2025-12-18T19:10:55Z","author":[{"first_name":"Jaewook","full_name":"Ahn, Jaewook","last_name":"Ahn"},{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"volume":62},{"user_id":"31496","_id":"63270","language":[{"iso":"eng"}],"publication":"Communications in Mathematical Sciences","type":"journal_article","status":"public","volume":21,"author":[{"last_name":"Li","full_name":"Li, Genglin","first_name":"Genglin"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_created":"2025-12-18T19:12:01Z","date_updated":"2025-12-18T20:10:48Z","publisher":"International Press of Boston","doi":"10.4310/cms.2023.v21.n2.a1","title":"Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities","issue":"2","publication_identifier":{"issn":["1539-6746","1945-0796"]},"publication_status":"published","intvolume":" 21","page":"299-322","citation":{"chicago":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences 21, no. 2 (2023): 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1.","ieee":"G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities,” Communications in Mathematical Sciences, vol. 21, no. 2, pp. 299–322, 2023, doi: 10.4310/cms.2023.v21.n2.a1.","ama":"Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences. 2023;21(2):299-322. doi:10.4310/cms.2023.v21.n2.a1","bibtex":"@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={10.4310/cms.2023.v21.n2.a1}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }","mla":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi:10.4310/cms.2023.v21.n2.a1.","short":"G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.","apa":"Li, G., & Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences, 21(2), 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1"},"year":"2023"}]