[{"department":[{"_id":"230"},{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"297"}],"user_id":"90283","_id":"50829","project":[{"name":"TRR 142 - C09: TRR 142 - Ideale Erzeugung von Photonenpaaren für Verschränkungsaustausch bei Telekom Wellenlängen (C09*)","_id":"173","grant_number":"231447078"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"language":[{"iso":"eng"}],"article_number":"L012017","publication":"Physical Review Research","type":"journal_article","status":"public","volume":6,"date_created":"2024-01-24T15:17:37Z","author":[{"first_name":"Nils","last_name":"Heinisch","full_name":"Heinisch, Nils","id":"90283"},{"id":"79191","full_name":"Köcher, Nikolas","last_name":"Köcher","first_name":"Nikolas"},{"full_name":"Bauch, David","id":"44172","last_name":"Bauch","first_name":"David"},{"first_name":"Stefan","id":"27271","full_name":"Schumacher, Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951"}],"publisher":"American Physical Society (APS)","date_updated":"2024-01-24T16:07:57Z","doi":"10.1103/PhysRevResearch.6.L012017","title":"Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs","issue":"1","publication_identifier":{"issn":["2643-1564"]},"publication_status":"published","intvolume":"         6","citation":{"short":"N. Heinisch, N. Köcher, D. Bauch, S. Schumacher, Physical Review Research 6 (2024).","mla":"Heinisch, Nils, et al. “Swing-up Dynamics in Quantum Emitter Cavity Systems: Near Ideal Single Photons and Entangled Photon Pairs.” <i>Physical Review Research</i>, vol. 6, no. 1, L012017, American Physical Society (APS), 2024, doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>.","bibtex":"@article{Heinisch_Köcher_Bauch_Schumacher_2024, title={Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs}, volume={6}, DOI={<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>}, number={1L012017}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Heinisch, Nils and Köcher, Nikolas and Bauch, David and Schumacher, Stefan}, year={2024} }","apa":"Heinisch, N., Köcher, N., Bauch, D., &#38; Schumacher, S. (2024). Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs. <i>Physical Review Research</i>, <i>6</i>(1), Article L012017. <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>","ama":"Heinisch N, Köcher N, Bauch D, Schumacher S. Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs. <i>Physical Review Research</i>. 2024;6(1). doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>","ieee":"N. Heinisch, N. Köcher, D. Bauch, and S. Schumacher, “Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs,” <i>Physical Review Research</i>, vol. 6, no. 1, Art. no. L012017, 2024, doi: <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>.","chicago":"Heinisch, Nils, Nikolas Köcher, David Bauch, and Stefan Schumacher. “Swing-up Dynamics in Quantum Emitter Cavity Systems: Near Ideal Single Photons and Entangled Photon Pairs.” <i>Physical Review Research</i> 6, no. 1 (2024). <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>."},"year":"2024"},{"user_id":"78579","department":[{"_id":"448"}],"_id":"49772","language":[{"iso":"fre"}],"type":"journal_article","publication":"Synergies Pays germanophones","status":"public","author":[{"last_name":"Huybrechts","orcid":"0009-0009-2166-9794","full_name":"Huybrechts, Yves","id":"78579","first_name":"Yves"},{"full_name":"Karaca, Resul","last_name":"Karaca","first_name":"Resul"}],"date_created":"2023-12-18T10:07:39Z","volume":16,"publisher":"GERFLINT","date_updated":"2024-01-26T19:38:47Z","oa":"1","main_file_link":[{"url":"https://gerflint.fr/images/revues/Paysgermanophones/SPG_16/karaca_huybrecht.pdf","open_access":"1"}],"title":"BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique","publication_status":"published","publication_identifier":{"issn":["1866-5268"]},"citation":{"mla":"Huybrechts, Yves, and Resul Karaca. “BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique.” <i>Synergies Pays germanophones</i>, vol. 16, GERFLINT, 2024, pp. 119–31.","bibtex":"@article{Huybrechts_Karaca_2024, title={BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique}, volume={16}, journal={Synergies Pays germanophones}, publisher={GERFLINT}, author={Huybrechts, Yves and Karaca, Resul}, year={2024}, pages={119–131} }","short":"Y. Huybrechts, R. Karaca, Synergies Pays germanophones 16 (2024) 119–131.","apa":"Huybrechts, Y., &#38; Karaca, R. (2024). BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique. <i>Synergies Pays germanophones</i>, <i>16</i>, 119–131.","chicago":"Huybrechts, Yves, and Resul Karaca. “BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique.” <i>Synergies Pays germanophones</i> 16 (2024): 119–31.","ieee":"Y. Huybrechts and R. Karaca, “BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique,” <i>Synergies Pays germanophones</i>, vol. 16, pp. 119–131, 2024.","ama":"Huybrechts Y, Karaca R. BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique. <i>Synergies Pays germanophones</i>. 2024;16:119-131."},"page":"119-131","intvolume":"        16","year":"2024"},{"editor":[{"full_name":"Özelt, Clemens","last_name":"Özelt","first_name":"Clemens"},{"first_name":"Martin","last_name":"Schneider","full_name":"Schneider, Martin"}],"status":"public","type":"book_chapter","publication":"Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen","language":[{"iso":"eng"}],"_id":"50981","user_id":"104","series_title":"Drama zwischen Text und Bühne","place":"Paderborn ","year":"2024","citation":{"apa":"Eke, N. O. (2024). „Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841). In C. Özelt &#38; M. Schneider (Eds.), <i>Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen: Vol. Band: 3</i> (pp. 199–222). Brill/Fink.","bibtex":"@inbook{Eke_2024, place={Paderborn }, series={Drama zwischen Text und Bühne}, title={„Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841)}, volume={Band: 3}, booktitle={Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen}, publisher={Brill/Fink}, author={Eke, Norbert Otto}, editor={Özelt, Clemens and Schneider, Martin}, year={2024}, pages={199–222}, collection={Drama zwischen Text und Bühne} }","mla":"Eke, Norbert Otto. “„Es Nimmt Der Raum Gastfreundlich Auf Die Menge“. Theodor Hells Prolog Zur Eröffnung Des Dresdner Hoftheaters (1841).” <i>Die Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>, edited by Clemens Özelt and Martin Schneider, vol. Band: 3, Brill/Fink, 2024, pp. 199–222.","short":"N.O. Eke, in: C. Özelt, M. Schneider (Eds.), Die Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen, Brill/Fink, Paderborn , 2024, pp. 199–222.","ama":"Eke NO. „Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841). In: Özelt C, Schneider M, eds. <i>Die Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>. Vol Band: 3. Drama zwischen Text und Bühne. Brill/Fink; 2024:199-222.","ieee":"N. O. Eke, “„Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841),” in <i>Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen</i>, vol. Band: 3, C. Özelt and M. Schneider, Eds. Paderborn : Brill/Fink, 2024, pp. 199–222.","chicago":"Eke, Norbert Otto. “„Es Nimmt Der Raum Gastfreundlich Auf Die Menge“. Theodor Hells Prolog Zur Eröffnung Des Dresdner Hoftheaters (1841).” In <i>Die Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>, edited by Clemens Özelt and Martin Schneider, Band: 3:199–222. Drama Zwischen Text Und Bühne. Paderborn : Brill/Fink, 2024."},"page":"199-222","publication_identifier":{"isbn":["978-3-7705-6762-1 "]},"title":"„Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841)","date_updated":"2024-02-05T12:37:41Z","publisher":"Brill/Fink","date_created":"2024-01-29T13:56:56Z","author":[{"full_name":"Eke, Norbert Otto","id":"104","last_name":"Eke","first_name":"Norbert Otto"}],"volume":"Band: 3"},{"status":"public","abstract":[{"text":"We derive efficient algorithms to compute weakly Pareto optimal solutions for smooth, convex and unconstrained multiobjective optimization problems in general Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical system in the multiobjective setting, which trajectories converge weakly to Pareto optimal solutions. Discretization of this system yields an inertial multiobjective algorithm which generates sequences that converge weakly to Pareto optimal solutions. We employ Nesterov acceleration to define an algorithm with an improved convergence rate compared to the plain multiobjective steepest descent method (Algorithm 1). A further improvement in terms of efficiency is achieved by avoiding the solution of a quadratic subproblem to compute a common step direction for all objective functions, which is usually required in first-order methods. Using a different discretization of our inertial gradient-like dynamical system, we obtain an accelerated multiobjective gradient method that does not require the solution of a subproblem in each step (Algorithm 2). While this algorithm does not converge in general, it yields good results on test problems while being faster than standard steepest descent.","lang":"eng"}],"publication":"Journal of Optimization Theory and Applications","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399","_id":"46019","citation":{"ama":"Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>","ieee":"K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” <i>Journal of Optimization Theory and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>.","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>.","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>. <a href=\"https://doi.org/10.1007/s10957-024-02389-3\">https://doi.org/10.1007/s10957-024-02389-3</a>","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of Optimization Theory and Applications</i>, Springer, 2024, doi:<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>.","short":"K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={<a href=\"https://doi.org/10.1007/s10957-024-02389-3\">10.1007/s10957-024-02389-3</a>}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }"},"year":"2024","publication_status":"published","doi":"10.1007/s10957-024-02389-3","main_file_link":[{"open_access":"1","url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf"}],"title":"Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems","author":[{"first_name":"Konstantin","orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","id":"56399","full_name":"Sonntag, Konstantin"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian","id":"47427"}],"date_created":"2023-07-12T06:35:58Z","oa":"1","publisher":"Springer","date_updated":"2024-02-21T10:13:33Z"},{"department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399","external_id":{"arxiv":["\t2402.06376"]},"_id":"51334","language":[{"iso":"eng"}],"publication":"arXiv:2402.06376","type":"preprint","status":"public","abstract":[{"lang":"eng","text":"The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points, where in each iteration, an approximation of the subdifferential is computed in an efficient manner and then used to compute a common descent direction for all objective functions. To prove convergence, we present some new optimality results for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these, we can show that every accumulation point of the sequence generated by our algorithm is Pareto critical under common assumptions. Computational efficiency for finding Pareto critical points is numerically demonstrated for multiobjective optimal control of an obstacle problem."}],"author":[{"first_name":"Konstantin","full_name":"Sonntag, Konstantin","id":"56399","last_name":"Sonntag","orcid":"https://orcid.org/0000-0003-3384-3496"},{"first_name":"Bennet","last_name":"Gebken","id":"32643","full_name":"Gebken, Bennet"},{"last_name":"Müller","full_name":"Müller, Georg","first_name":"Georg"},{"full_name":"Peitz, Sebastian","id":"47427","orcid":"0000-0002-3389-793X","last_name":"Peitz","first_name":"Sebastian"},{"first_name":"Stefan","last_name":"Volkwein","full_name":"Volkwein, Stefan"}],"date_created":"2024-02-13T09:35:26Z","oa":"1","date_updated":"2024-02-21T10:21:03Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2402.06376"}],"title":"A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces","has_accepted_license":"1","citation":{"chicago":"Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","ieee":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” <i>arXiv:2402.06376</i>. 2024.","ama":"Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. <i>arXiv:240206376</i>. Published online 2024.","bibtex":"@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376}, author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan}, year={2024} }","mla":"Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.","short":"K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).","apa":"Sonntag, K., Gebken, B., Müller, G., Peitz, S., &#38; Volkwein, S. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In <i>arXiv:2402.06376</i>."},"year":"2024"},{"title":"“A Short Introduction to the Film Glove and Touch Studies.”","date_created":"2024-03-13T08:53:20Z","author":[{"last_name":"Kraft","id":"22433","full_name":"Kraft, Kerstin","first_name":"Kerstin"}],"date_updated":"2024-03-13T08:58:38Z","publisher":"Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108.","citation":{"short":"K. Kraft, “A Short Introduction to the Film Glove and Touch Studies.,” Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108., 2024.","mla":"Kraft, Kerstin. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i> Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108., 2024.","bibtex":"@book{Kraft_2024, title={“A Short Introduction to the Film Glove and Touch Studies.”}, publisher={Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108.}, author={Kraft, Kerstin}, year={2024} }","apa":"Kraft, K. (2024). <i>“A Short Introduction to the Film Glove and Touch Studies.”</i> Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108.","chicago":"Kraft, Kerstin. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i> Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108., 2024.","ieee":"K. Kraft, <i>“A Short Introduction to the Film Glove and Touch Studies.”</i> Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108., 2024.","ama":"Kraft K. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i> Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/, https://doi.org/10.38055/FS050108.; 2024."},"year":"2024","language":[{"iso":"eng"}],"department":[{"_id":"18"},{"_id":"434"}],"user_id":"79820","_id":"52529","status":"public","type":"misc"},{"status":"public","type":"book_chapter","user_id":"100968","department":[{"_id":"514"}],"_id":"52538","citation":{"apa":"Schmitt, M. (2024). Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft. In Bundeszentrale für politische Bildung (Ed.), <i>Soziale Medien – wie sie wurden, was sie sind</i>. Bundeszentrale für politische Bildung.","mla":"Schmitt, Martin. “Alles Geht? Die Jüngste Geschichte Der „sozialen Medien“. Zwischen Wirtschaft Und Gemeinschaft.” <i>Soziale Medien – Wie Sie Wurden, Was Sie Sind</i>, edited by Bundeszentrale für politische Bildung, Bundeszentrale für politische Bildung, 2024.","bibtex":"@inbook{Schmitt_2024, place={Bonn}, title={Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft}, booktitle={Soziale Medien – wie sie wurden, was sie sind}, publisher={Bundeszentrale für politische Bildung}, author={Schmitt, Martin}, editor={Bundeszentrale für politische Bildung}, year={2024} }","short":"M. Schmitt, in: Bundeszentrale für politische Bildung (Ed.), Soziale Medien – Wie Sie Wurden, Was Sie Sind, Bundeszentrale für politische Bildung, Bonn, 2024.","ama":"Schmitt M. Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft. In: Bundeszentrale für politische Bildung, ed. <i>Soziale Medien – Wie Sie Wurden, Was Sie Sind</i>. Bundeszentrale für politische Bildung; 2024.","ieee":"M. Schmitt, “Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft,” in <i>Soziale Medien – wie sie wurden, was sie sind</i>, Bundeszentrale für politische Bildung, Ed. Bonn: Bundeszentrale für politische Bildung, 2024.","chicago":"Schmitt, Martin. “Alles Geht? Die Jüngste Geschichte Der „sozialen Medien“. Zwischen Wirtschaft Und Gemeinschaft.” In <i>Soziale Medien – Wie Sie Wurden, Was Sie Sind</i>, edited by Bundeszentrale für politische Bildung. Bonn: Bundeszentrale für politische Bildung, 2024."},"jel":["N80"],"place":"Bonn","main_file_link":[{"url":"https://www.bpb.de/themen/medien-journalismus/soziale-medien/545767/alles-geht-die-juengste-geschichte-der-sozialen-medien/","open_access":"1"}],"author":[{"first_name":"Martin","full_name":"Schmitt, Martin","id":"100968","last_name":"Schmitt"}],"date_updated":"2024-03-13T15:21:23Z","oa":"1","abstract":[{"lang":"eng","text":"Twitter ist jetzt X und befindet sich auf dem absteigenden Ast. Auf diesem Ast sitzt Facebook bereits seit längerem. Der Kurzvideodienst Vine, Vorgänger von TikTok, ist Geschichte. Und auch bei Google klingeln die Alarmglocken angesichts der „neuen“ Konkurrenz durch Microsoft und ChatGPT. Umso dringlicher wird also die Historisierung der „sozialen Medien“, das heißt, sie in ihren historischen Kontext einzuordnen und ihren Mythos zu entzaubern. Dabei wartet das Vorhaben mit einer doppelten Herausforderung auf: Erstens, dass es sich bei den Unternehmen der Branche und zweitens auch bei den dort gebildeten Gemeinschaften um recht flüchtige, wandelhaften Gestalten handelt. Scheitern und Wandel ist Teil der „sozialen Medien“ – und sei es nur in der schnellen Abfolge der Moden des „nächsten großen Dings“. Dementsprechend versucht dieser Beitrag mit einem systematischeren Ansatz als dem der gesellschaftlichen Selbstbeschreibung, die Entwicklung des sozio-digitalen Phänomens „soziale Medien“ in dessen Zeitkontext einzuordnen."}],"publication":"Soziale Medien – wie sie wurden, was sie sind","language":[{"iso":"eng"}],"keyword":["Digitalgeschichte","Soziale Medien","Technikgeschichte","Wirtschaftsgeschichte","Digitalisierung","Twitter","Facebook","Meta"],"corporate_editor":["Bundeszentrale für politische Bildung"],"year":"2024","quality_controlled":"1","title":"Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft","date_created":"2024-03-13T15:08:27Z","publisher":"Bundeszentrale für politische Bildung"},{"type":"dissertation","status":"public","department":[{"_id":"150"}],"user_id":"98856","_id":"52501","language":[{"iso":"ger"}],"extern":"1","publication_status":"published","page":"161","citation":{"ama":"Hassel R. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>.; 2024. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-1870\">10.17619/UNIPB/1-1870</a>","chicago":"Hassel, Richard. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>. Paderborn, 2024. <a href=\"https://doi.org/10.17619/UNIPB/1-1870\">https://doi.org/10.17619/UNIPB/1-1870</a>.","ieee":"R.  Hassel, <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>. Paderborn, 2024.","apa":"Hassel, R. (2024). <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>. <a href=\"https://doi.org/10.17619/UNIPB/1-1870\">https://doi.org/10.17619/UNIPB/1-1870</a>","mla":"Hassel, Richard. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>. 2024, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-1870\">10.17619/UNIPB/1-1870</a>.","short":"R.  Hassel, Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern, Paderborn, 2024.","bibtex":"@book{ Hassel_2024, place={Paderborn}, title={Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-1870\">10.17619/UNIPB/1-1870</a>}, author={ Hassel, Richard}, year={2024} }"},"year":"2024","place":"Paderborn","date_created":"2024-03-12T08:11:12Z","author":[{"last_name":" Hassel","full_name":" Hassel, Richard","first_name":"Richard"}],"supervisor":[{"first_name":"Hans-Joachim","last_name":"Schmid","orcid":"000-0001-8590-1921","full_name":"Schmid, Hans-Joachim","id":"464"}],"date_updated":"2024-03-19T06:58:58Z","doi":"10.17619/UNIPB/1-1870","title":"Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern"},{"title":"Using Worked Examples for Engaging in Epistemic Programming Projects","doi":"10.1145/3626252.3630961","date_updated":"2024-03-21T23:19:04Z","publisher":"ACM","date_created":"2024-03-08T08:01:50Z","author":[{"last_name":"Hüsing","id":"58465","full_name":"Hüsing, Sven","first_name":"Sven"},{"first_name":"Carsten","full_name":"Schulte, Carsten","id":"60311","last_name":"Schulte"},{"last_name":"Sparmann","id":"63216","full_name":"Sparmann, Sören","first_name":"Sören"},{"first_name":"Mario","full_name":"Bolte, Mario","last_name":"Bolte"}],"year":"2024","citation":{"apa":"Hüsing, S., Schulte, C., Sparmann, S., &#38; Bolte, M. (2024). Using Worked Examples for Engaging in Epistemic Programming Projects. <i>Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1</i>. <a href=\"https://doi.org/10.1145/3626252.3630961\">https://doi.org/10.1145/3626252.3630961</a>","bibtex":"@inproceedings{Hüsing_Schulte_Sparmann_Bolte_2024, title={Using Worked Examples for Engaging in Epistemic Programming Projects}, DOI={<a href=\"https://doi.org/10.1145/3626252.3630961\">10.1145/3626252.3630961</a>}, booktitle={Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1}, publisher={ACM}, author={Hüsing, Sven and Schulte, Carsten and Sparmann, Sören and Bolte, Mario}, year={2024} }","mla":"Hüsing, Sven, et al. “Using Worked Examples for Engaging in Epistemic Programming Projects.” <i>Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1</i>, ACM, 2024, doi:<a href=\"https://doi.org/10.1145/3626252.3630961\">10.1145/3626252.3630961</a>.","short":"S. Hüsing, C. Schulte, S. Sparmann, M. Bolte, in: Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1, ACM, 2024.","chicago":"Hüsing, Sven, Carsten Schulte, Sören Sparmann, and Mario Bolte. “Using Worked Examples for Engaging in Epistemic Programming Projects.” In <i>Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1</i>. ACM, 2024. <a href=\"https://doi.org/10.1145/3626252.3630961\">https://doi.org/10.1145/3626252.3630961</a>.","ieee":"S. Hüsing, C. Schulte, S. Sparmann, and M. Bolte, “Using Worked Examples for Engaging in Epistemic Programming Projects,” 2024, doi: <a href=\"https://doi.org/10.1145/3626252.3630961\">10.1145/3626252.3630961</a>.","ama":"Hüsing S, Schulte C, Sparmann S, Bolte M. Using Worked Examples for Engaging in Epistemic Programming Projects. In: <i>Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1</i>. ACM; 2024. doi:<a href=\"https://doi.org/10.1145/3626252.3630961\">10.1145/3626252.3630961</a>"},"publication_status":"published","language":[{"iso":"eng"}],"_id":"52379","user_id":"58465","department":[{"_id":"67"}],"status":"public","type":"conference","publication":"Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1"},{"title":"Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs","doi":"10.1007/s00493-023-00078-9","date_updated":"2024-03-22T12:11:35Z","publisher":"Springer Science and Business Media LLC","date_created":"2023-12-20T10:31:27Z","author":[{"id":"92748","full_name":"Ma, Yulai","last_name":"Ma","first_name":"Yulai"},{"first_name":"Davide","full_name":"Mattiolo, Davide","last_name":"Mattiolo"},{"first_name":"Eckhard","full_name":"Steffen, Eckhard","id":"15548","last_name":"Steffen","orcid":"0000-0002-9808-7401"},{"last_name":"Wolf","full_name":"Wolf, Isaak Hieronymus","id":"88145","first_name":"Isaak Hieronymus"}],"volume":44,"year":"2024","citation":{"chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i> 44 (2024): 429–40. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>.","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44, pp. 429–440, 2024, doi: <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>.","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>","bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>}, journal={Combinatorica}, publisher={Springer Science and Business Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2024}, pages={429–440} }","short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.","mla":"Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business Media LLC, 2024, pp. 429–40, doi:<a href=\"https://doi.org/10.1007/s00493-023-00078-9\">10.1007/s00493-023-00078-9</a>.","apa":"Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>, <i>44</i>, 429–440. <a href=\"https://doi.org/10.1007/s00493-023-00078-9\">https://doi.org/10.1007/s00493-023-00078-9</a>"},"intvolume":"        44","page":"429-440","publication_status":"published","publication_identifier":{"issn":["0209-9683","1439-6912"]},"keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics"],"language":[{"iso":"eng"}],"_id":"49905","user_id":"15540","department":[{"_id":"542"}],"abstract":[{"text":"For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected r-graph has s pairwise disjoint perfect matchings. There are only a few values of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for all t \u0003 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤ 3l − 6 for every l ≥ 3 and r ≥ 2l.","lang":"eng"}],"status":"public","type":"journal_article","publication":"Combinatorica"},{"abstract":[{"lang":"eng","text":"What is preventing us from building a NLP system that could help real people in real situations, for instance when they need legal advice but don{’}t understand law? This question is trickier than one might think, because legal systems vary from country to country, so do the law books, availability of data, and incomprehensibility of legalese. In this paper we focus Germany (which employs the civil-law system where, roughly speaking, interpretation of law codes dominates over precedence) and lay a foundational work to address the laymen{’}s legal question answering empirically. We create GerLayQA, a new dataset comprising of 21k laymen{’}s legal questions paired with answers from lawyers and grounded to concrete law book paragraphs. We experiment with a variety of retrieval and answer generation models and provide an in-depth analysis of limitations, which helps us to provide first empirical answers to the question above."}],"editor":[{"first_name":"Yvette","last_name":"Graham","full_name":"Graham, Yvette"},{"last_name":"Purver","full_name":"Purver, Matthew","first_name":"Matthew"}],"status":"public","publication":"Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)","type":"conference","language":[{"iso":"eng"}],"_id":"52841","user_id":"15504","place":"St. Julian{’}s, Malta","year":"2024","page":"2015–2027","citation":{"ama":"Büttner M, Habernal I. Answering legal questions from laymen in German civil law system. In: Graham Y, Purver M, eds. <i>Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>. Association for Computational Linguistics; 2024:2015–2027.","chicago":"Büttner, Marius, and Ivan Habernal. “Answering Legal Questions from Laymen in German Civil Law System.” In <i>Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>, edited by Yvette Graham and Matthew Purver, 2015–2027. St. Julian{’}s, Malta: Association for Computational Linguistics, 2024.","ieee":"M. Büttner and I. Habernal, “Answering legal questions from laymen in German civil law system,” in <i>Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>, 2024, pp. 2015–2027.","apa":"Büttner, M., &#38; Habernal, I. (2024). Answering legal questions from laymen in German civil law system. In Y. Graham &#38; M. Purver (Eds.), <i>Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i> (pp. 2015–2027). Association for Computational Linguistics.","bibtex":"@inproceedings{Büttner_Habernal_2024, place={St. Julian{’}s, Malta}, title={Answering legal questions from laymen in German civil law system}, booktitle={Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)}, publisher={Association for Computational Linguistics}, author={Büttner, Marius and Habernal, Ivan}, editor={Graham, Yvette and Purver, Matthew}, year={2024}, pages={2015–2027} }","mla":"Büttner, Marius, and Ivan Habernal. “Answering Legal Questions from Laymen in German Civil Law System.” <i>Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>, edited by Yvette Graham and Matthew Purver, Association for Computational Linguistics, 2024, pp. 2015–2027.","short":"M. Büttner, I. Habernal, in: Y. Graham, M. Purver (Eds.), Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers), Association for Computational Linguistics, St. Julian{’}s, Malta, 2024, pp. 2015–2027."},"title":"Answering legal questions from laymen in German civil law system","date_updated":"2024-03-25T11:28:00Z","publisher":"Association for Computational Linguistics","date_created":"2024-03-25T11:27:27Z","author":[{"first_name":"Marius","full_name":"Büttner, Marius","last_name":"Büttner"},{"id":"101881","full_name":"Habernal, Ivan","last_name":"Habernal","first_name":"Ivan"}]},{"year":"2024","citation":{"chicago":"Hirsch, Andre. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das Kunststoff Freiformen </i>, 2024. <a href=\"https://doi.org/978-3-8440-9409-1\">https://doi.org/978-3-8440-9409-1</a>.","ieee":"A. Hirsch, <i>Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das Kunststoff Freiformen </i>. 2024.","ama":"Hirsch A. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das Kunststoff Freiformen </i>.; 2024. doi:<a href=\"https://doi.org/978-3-8440-9409-1\">978-3-8440-9409-1</a>","apa":"Hirsch, A. (2024). <i>Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das Kunststoff Freiformen </i>. <a href=\"https://doi.org/978-3-8440-9409-1\">https://doi.org/978-3-8440-9409-1</a>","mla":"Hirsch, Andre. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das Kunststoff Freiformen </i>. 2024, doi:<a href=\"https://doi.org/978-3-8440-9409-1\">978-3-8440-9409-1</a>.","bibtex":"@book{Hirsch_2024, title={Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das Kunststoff Freiformen }, DOI={<a href=\"https://doi.org/978-3-8440-9409-1\">978-3-8440-9409-1</a>}, author={Hirsch, Andre}, year={2024} }","short":"A. Hirsch, Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das Kunststoff Freiformen , 2024."},"date_updated":"2024-04-02T12:42:13Z","date_created":"2024-04-02T12:42:11Z","author":[{"first_name":"Andre","id":"27599","full_name":"Hirsch, Andre","last_name":"Hirsch"}],"title":"Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das Kunststoff Freiformen ","doi":"978-3-8440-9409-1","type":"dissertation","status":"public","_id":"53134","department":[{"_id":"9"},{"_id":"367"},{"_id":"321"}],"user_id":"44116","language":[{"iso":"eng"}]},{"date_updated":"2024-04-02T12:44:35Z","author":[{"first_name":"Michael","full_name":"Schadomsky, Michael","last_name":"Schadomsky"}],"date_created":"2024-04-02T12:44:30Z","title":"Experimentelle und simulative Analyse der Mischwirkung in Einschneckenextrudern","doi":"978-3-8440-9334-6","year":"2024","citation":{"ieee":"M. Schadomsky, <i>Experimentelle und simulative Analyse der Mischwirkung in Einschneckenextrudern</i>. 2024.","chicago":"Schadomsky, Michael. <i>Experimentelle Und Simulative Analyse Der Mischwirkung in Einschneckenextrudern</i>, 2024. <a href=\"https://doi.org/978-3-8440-9334-6\">https://doi.org/978-3-8440-9334-6</a>.","ama":"Schadomsky M. <i>Experimentelle Und Simulative Analyse Der Mischwirkung in Einschneckenextrudern</i>.; 2024. doi:<a href=\"https://doi.org/978-3-8440-9334-6\">978-3-8440-9334-6</a>","bibtex":"@book{Schadomsky_2024, title={Experimentelle und simulative Analyse der Mischwirkung in Einschneckenextrudern}, DOI={<a href=\"https://doi.org/978-3-8440-9334-6\">978-3-8440-9334-6</a>}, author={Schadomsky, Michael}, year={2024} }","short":"M. Schadomsky, Experimentelle Und Simulative Analyse Der Mischwirkung in Einschneckenextrudern, 2024.","mla":"Schadomsky, Michael. <i>Experimentelle Und Simulative Analyse Der Mischwirkung in Einschneckenextrudern</i>. 2024, doi:<a href=\"https://doi.org/978-3-8440-9334-6\">978-3-8440-9334-6</a>.","apa":"Schadomsky, M. (2024). <i>Experimentelle und simulative Analyse der Mischwirkung in Einschneckenextrudern</i>. <a href=\"https://doi.org/978-3-8440-9334-6\">https://doi.org/978-3-8440-9334-6</a>"},"_id":"53135","user_id":"44116","department":[{"_id":"9"},{"_id":"367"},{"_id":"321"}],"language":[{"iso":"eng"}],"type":"dissertation","status":"public"},{"user_id":"29951","department":[{"_id":"276"}],"project":[{"name":"SFB 901: SFB 901","_id":"1","grant_number":"160364472"},{"_id":"4","name":"SFB 901 - C: SFB 901 - Project Area C"},{"_id":"17","name":"SFB 901 - C5: SFB 901 - Subproject C5"}],"_id":"37704","language":[{"iso":"ger"}],"type":"book_chapter","publication":"Digitale Plattformen und Ökosysteme im B2B-Bereich","status":"public","editor":[{"first_name":"D.R.A.","last_name":"Schallmo","full_name":"Schallmo, D.R.A."},{"first_name":"Dennis","full_name":"Kundisch, Dennis","last_name":"Kundisch"},{"first_name":"K.","last_name":"Lang","full_name":"Lang, K."}],"date_created":"2023-01-20T10:57:37Z","author":[{"full_name":"Ksouri-Gerwien, Christoph","last_name":"Ksouri-Gerwien","first_name":"Christoph"},{"first_name":"Christian","id":"29951","full_name":"Vorbohle, Christian","last_name":"Vorbohle"}],"date_updated":"2024-04-05T09:31:10Z","publisher":"Springer Gabler","title":"Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem","citation":{"ama":"Ksouri-Gerwien C, Vorbohle C. Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem. In: Schallmo DRA, Kundisch D, Lang K, eds. <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>. Springer Gabler; 2024.","ieee":"C. Ksouri-Gerwien and C. Vorbohle, “Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem,” in <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>, D. R. A. Schallmo, D. Kundisch, and K. Lang, Eds. Wiesbaden: Springer Gabler, 2024.","chicago":"Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” In <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo, Dennis Kundisch, and K. Lang. Wiesbaden: Springer Gabler, 2024.","short":"C. Ksouri-Gerwien, C. Vorbohle, in: D.R.A. Schallmo, D. Kundisch, K. Lang (Eds.), Digitale Plattformen und Ökosysteme im B2B-Bereich, Springer Gabler, Wiesbaden, 2024.","bibtex":"@inbook{Ksouri-Gerwien_Vorbohle_2024, place={Wiesbaden}, title={Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem}, booktitle={Digitale Plattformen und Ökosysteme im B2B-Bereich}, publisher={Springer Gabler}, author={Ksouri-Gerwien, Christoph and Vorbohle, Christian}, editor={Schallmo, D.R.A. and Kundisch, Dennis and Lang, K.}, year={2024} }","mla":"Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo et al., Springer Gabler, 2024.","apa":"Ksouri-Gerwien, C., &#38; Vorbohle, C. (2024). Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem. In D. R. A. Schallmo, D. Kundisch, &#38; K. Lang (Eds.), <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>. Springer Gabler."},"place":"Wiesbaden","year":"2024"},{"_id":"53316","user_id":"31496","article_number":"26","keyword":["Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Evolution Equations","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The quasilinear Keller–Segel system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$</jats:tex-math><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:mi>t</mml:mi>\r\n                                      </mml:msub>\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:mi>D</mml:mi>\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:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\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:mi>S</mml:mi>\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:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>v</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: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>v</mml:mi>\r\n                                        <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mi>Δ</mml:mi>\r\n                                      <mml:mi>v</mml:mi>\r\n                                      <mml:mo>-</mml:mo>\r\n                                      <mml:mi>v</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>u</mml:mi>\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></jats:alternatives></jats:disp-formula>endowed with homogeneous Neumann boundary conditions is considered in a bounded domain <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega \\subset {\\mathbb {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>⊂</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n                      </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, with smooth boundary for sufficiently regular functions <jats:italic>D</jats:italic> and <jats:italic>S</jats:italic> satisfying <jats:inline-formula><jats:alternatives><jats:tex-math>$$D&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>D</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> on <jats:inline-formula><jats:alternatives><jats:tex-math>$$[0,\\infty )$$</jats:tex-math><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></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$S&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> on <jats:inline-formula><jats:alternatives><jats:tex-math>$$(0,\\infty )$$</jats:tex-math><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></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$S(0)=0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>S</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></jats:alternatives></jats:inline-formula>. On the one hand, it is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n                  </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula> satisfies the subcritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha &lt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><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:mfrac>\r\n                              <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                            </mml:mfrac>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:mi>C</mml:mi>\r\n                            <mml:msup>\r\n                              <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n                            </mml:msup>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>1</mml:mn>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n                              <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$C&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, then for any sufficiently regular initial data there exists a global weak energy solution such that <jats:inline-formula><jats:alternatives><jats:tex-math>$${ \\mathrm{{ess}}} \\sup _{t&gt;0} \\Vert u(t) \\Vert _{L^p(\\Omega )}&lt;\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>ess</mml:mi>\r\n                    <mml:msub>\r\n                      <mml:mo>sup</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mi>t</mml:mi>\r\n                        <mml:mo>&gt;</mml:mo>\r\n                        <mml:mn>0</mml:mn>\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:mi>u</mml:mi>\r\n                        <mml:mrow>\r\n                          <mml:mo>(</mml:mo>\r\n                          <mml:mi>t</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:msup>\r\n                          <mml:mi>L</mml:mi>\r\n                          <mml:mi>p</mml:mi>\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:msub>\r\n                    <mml:mo>&lt;</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> for some <jats:inline-formula><jats:alternatives><jats:tex-math>$$p &gt; \\frac{2n}{n+2}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n                        <mml:mi>n</mml:mi>\r\n                      </mml:mrow>\r\n                      <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n                        <mml:mo>+</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n                      </mml:mrow>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. On the other hand, if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n                  </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula> satisfies the supercritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha &gt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><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:mfrac>\r\n                              <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                            </mml:mfrac>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mi>c</mml:mi>\r\n                            <mml:msup>\r\n                              <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n                            </mml:msup>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>1</mml:mn>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mspace />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n                              <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$c&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>c</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, then the nonexistence of a global weak energy solution having the boundedness property stated above is shown for some initial data in the radial setting. This establishes some criticality of the value <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha = \\frac{2}{n}$$</jats:tex-math><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>=</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>2</mml:mn>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> for <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, without any additional assumption on the behavior of <jats:italic>D</jats:italic>(<jats:italic>s</jats:italic>) as <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\rightarrow \\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>s</mml:mi>\r\n                    <mml:mo>→</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, in particular without requiring any algebraic lower bound for <jats:italic>D</jats:italic>. When applied to the Keller–Segel system with volume-filling effect for probability distribution functions of the type <jats:inline-formula><jats:alternatives><jats:tex-math>$$Q(s) = \\exp (-s^\\beta )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Q</mml:mi>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>s</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mo>exp</mml:mo>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mo>-</mml:mo>\r\n                      <mml:msup>\r\n                        <mml:mi>s</mml:mi>\r\n                        <mml:mi>β</mml:mi>\r\n                      </mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\ge 0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>s</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, for global solvability the exponent <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta = \\frac{n-2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>β</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n                        <mml:mo>-</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n                      </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> is seen to be critical.\r\n</jats:p>","lang":"eng"}],"status":"public","date_updated":"2024-04-07T12:36:21Z","publisher":"Springer Science and Business Media LLC","date_created":"2024-04-07T12:29:25Z","author":[{"full_name":"Stinner, Christian","last_name":"Stinner","first_name":"Christian"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"volume":24,"title":"A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects","doi":"10.1007/s00028-024-00954-x","publication_status":"published","publication_identifier":{"issn":["1424-3199","1424-3202"]},"issue":"2","year":"2024","citation":{"mla":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>.","short":"C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).","bibtex":"@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }","apa":"Stinner, C., &#38; Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article 26. <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">https://doi.org/10.1007/s00028-024-00954-x</a>","ama":"Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>","ieee":"C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 26, 2024, doi: <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>.","chicago":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024). <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">https://doi.org/10.1007/s00028-024-00954-x</a>."},"intvolume":"        24"},{"language":[{"iso":"ger"}],"_id":"52096","user_id":"54666","department":[{"_id":"512"}],"status":"public","type":"journal_article","publication":"Zeitschrift des Aachener Geschichtsvereins ","title":"Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892","publisher":"VERLAGSDRUCKEREI SCHMIDT GMBH","date_updated":"2024-04-11T10:51:35Z","date_created":"2024-02-27T10:52:14Z","author":[{"last_name":"Kamp","id":"125","full_name":"Kamp, Hermann","first_name":"Hermann"}],"volume":"123/124, 2021-2022","year":"2024","citation":{"chicago":"Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins </i> 123/124, 2021–2022 (2024): 137–67.","ieee":"H. Kamp, “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892,” <i>Zeitschrift des Aachener Geschichtsvereins </i>, vol. 123/124, 2021–2022, pp. 137–167, 2024.","ama":"Kamp H. Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>. 2024;123/124, 2021-2022:137-167.","apa":"Kamp, H. (2024). Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>, <i>123/124, 2021–2022</i>, 137–167.","mla":"Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins </i>, vol. 123/124, 2021–2022, VERLAGSDRUCKEREI SCHMIDT GMBH, 2024, pp. 137–67.","bibtex":"@article{Kamp_2024, title={Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892}, volume={123/124, 2021–2022}, journal={Zeitschrift des Aachener Geschichtsvereins }, publisher={VERLAGSDRUCKEREI SCHMIDT GMBH}, author={Kamp, Hermann}, year={2024}, pages={137–167} }","short":"H. Kamp, Zeitschrift des Aachener Geschichtsvereins  123/124, 2021–2022 (2024) 137–167."},"page":"137-167","publication_status":"published","publication_identifier":{"unknown":["978-3-87707-300-1"]}},{"article_number":"012011","_id":"53417","user_id":"94328","status":"public","type":"journal_article","main_file_link":[{"open_access":"1","url":"https://iopscience.iop.org/article/10.1088/1742-6596/2727/1/012011/pdf"}],"doi":"10.1088/1742-6596/2727/1/012011","conference":{"start_date":"2021-12-13","name":"3rd World Conference on Physics Education","location":"Hanoi","end_date":"2021-12-16"},"date_updated":"2024-04-12T11:34:19Z","oa":"1","author":[{"last_name":"Gschwind","full_name":"Gschwind, Stéphane","first_name":"Stéphane"},{"id":"94328","full_name":"Hohmann, Sascha","orcid":"0000-0001-6145-3466","last_name":"Hohmann","first_name":"Sascha"},{"first_name":"Andreas","last_name":"Müller","full_name":"Müller, Andreas"},{"first_name":"Jeffrey","full_name":"Nordine, Jeffrey","last_name":"Nordine"},{"full_name":"Riesen, Timm-Emanuel","last_name":"Riesen","first_name":"Timm-Emanuel"}],"volume":2727,"citation":{"ieee":"S. Gschwind, S. Hohmann, A. Müller, J. Nordine, and T.-E. Riesen, “The Stellarium Gornergrat: Astrophysics with your own Data,” <i>Journal of Physics: Conference Series</i>, vol. 2727, no. 1, Art. no. 012011, 2024, doi: <a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">10.1088/1742-6596/2727/1/012011</a>.","chicago":"Gschwind, Stéphane, Sascha Hohmann, Andreas Müller, Jeffrey Nordine, and Timm-Emanuel Riesen. “The Stellarium Gornergrat: Astrophysics with Your Own Data.” <i>Journal of Physics: Conference Series</i> 2727, no. 1 (2024). <a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">https://doi.org/10.1088/1742-6596/2727/1/012011</a>.","ama":"Gschwind S, Hohmann S, Müller A, Nordine J, Riesen T-E. The Stellarium Gornergrat: Astrophysics with your own Data. <i>Journal of Physics: Conference Series</i>. 2024;2727(1). doi:<a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">10.1088/1742-6596/2727/1/012011</a>","mla":"Gschwind, Stéphane, et al. “The Stellarium Gornergrat: Astrophysics with Your Own Data.” <i>Journal of Physics: Conference Series</i>, vol. 2727, no. 1, 012011, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">10.1088/1742-6596/2727/1/012011</a>.","short":"S. Gschwind, S. Hohmann, A. Müller, J. Nordine, T.-E. Riesen, Journal of Physics: Conference Series 2727 (2024).","bibtex":"@article{Gschwind_Hohmann_Müller_Nordine_Riesen_2024, title={The Stellarium Gornergrat: Astrophysics with your own Data}, volume={2727}, DOI={<a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">10.1088/1742-6596/2727/1/012011</a>}, number={1012011}, journal={Journal of Physics: Conference Series}, publisher={IOP Publishing}, author={Gschwind, Stéphane and Hohmann, Sascha and Müller, Andreas and Nordine, Jeffrey and Riesen, Timm-Emanuel}, year={2024} }","apa":"Gschwind, S., Hohmann, S., Müller, A., Nordine, J., &#38; Riesen, T.-E. (2024). The Stellarium Gornergrat: Astrophysics with your own Data. <i>Journal of Physics: Conference Series</i>, <i>2727</i>(1), Article 012011. <a href=\"https://doi.org/10.1088/1742-6596/2727/1/012011\">https://doi.org/10.1088/1742-6596/2727/1/012011</a>"},"intvolume":"      2727","publication_status":"published","publication_identifier":{"issn":["1742-6588","1742-6596"]},"keyword":["Computer Science Applications","History","Education"],"language":[{"iso":"eng"}],"abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Remote-controlled telescopes in education provide the opportunity to obtain high quality astronomy images for a broad variety of users. The Stellarium Gornergrat is such a telescope. In addition to pure observation, it offers a user-friendly interface and teaching modules so that astronomical and astrophysical projects can be integrated into everyday school life without any special prior knowledge and without requiring a lot of time. This contribution presents the Stellarium project and a provides an overview of several teaching activities.</jats:p>","lang":"eng"}],"publication":"Journal of Physics: Conference Series","title":"The Stellarium Gornergrat: Astrophysics with your own Data","publisher":"IOP Publishing","date_created":"2024-04-11T12:37:49Z","year":"2024","quality_controlled":"1","issue":"1"},{"type":"book_chapter","publication":"‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023","status":"public","editor":[{"full_name":"Elit, Stefan","last_name":"Elit","first_name":"Stefan"},{"first_name":"Norbert Otto","full_name":"Eke, Norbert Otto","last_name":"Eke"}],"series_title":"Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller","user_id":"105","department":[{"_id":"465"},{"_id":"5"}],"_id":"53473","language":[{"iso":"ger"}],"publication_status":"published","publication_identifier":{"isbn":["978-3-8498-1957-6"],"eisbn":["978-3-8498-1958-3"]},"citation":{"chicago":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” In <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and Norbert Otto Eke, 41.:137–54. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024.","ieee":"S. Elit, “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“,” in <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, vol. 41., S. Elit and N. O. Eke, Eds. Bielefeld: Aisthesis, 2024, pp. 137–154.","ama":"Elit S. ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In: Elit S, Eke NO, eds. <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>. Vol 41. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2024:137-154.","bibtex":"@inbook{Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller}, title={‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“}, volume={41.}, booktitle={‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023}, publisher={Aisthesis}, author={Elit, Stefan}, editor={Elit, Stefan and Eke, Norbert Otto}, year={2024}, pages={137–154}, collection={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller} }","mla":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and Norbert Otto Eke, vol. 41., Aisthesis, 2024, pp. 137–54.","short":"S. Elit, in: S. Elit, N.O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, Aisthesis, Bielefeld, 2024, pp. 137–154.","apa":"Elit, S. (2024). ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In S. Elit &#38; N. O. Eke (Eds.), <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023: Vol. 41.</i> (pp. 137–154). Aisthesis."},"page":"137-154","year":"2024","place":"Bielefeld","date_created":"2024-04-12T16:05:19Z","author":[{"first_name":"Stefan","id":"105","full_name":"Elit, Stefan","orcid":"0000-0002-4719-1073","last_name":"Elit"}],"volume":"41.","date_updated":"2024-04-12T16:06:59Z","publisher":"Aisthesis","title":"‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“"},{"abstract":[{"lang":"eng","text":"We present a novel approach to characterize and quantify microheterogeneity and microphase separation in computer simulations of complex liquid mixtures. Our post-processing method is based on local density fluctuations of the different constituents in sampling spheres of varying size. It can be easily applied to both molecular dynamics (MD) and Monte Carlo (MC) simulations, including periodic boundary conditions. Multidimensional correlation of the density distributions yields a clear picture of the domain formation due to the subtle balance of different interactions. We apply our approach to the example of force field molecular dynamics simulations of imidazolium-based ionic liquids with different side chain lengths at different temperatures, namely 1-ethyl-3-methylimidazolium chloride, 1-hexyl-3-methylimidazolium chloride, and 1-decyl-3-methylimidazolium chloride, which are known to form distinct liquid domains. We put the results into the context of existing microheterogeneity analyses and demonstrate the advantages and sensitivity of our novel method. Furthermore, we show how to estimate the configuration entropy from our analysis, and we investigate voids in the system. The analysis has been implemented into our program package TRAVIS and is thus available as free software."}],"status":"public","publication":"Entropy","type":"journal_article","article_number":"322","language":[{"iso":"eng"}],"_id":"53474","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"department":[{"_id":"27"},{"_id":"518"},{"_id":"803"}],"user_id":"24135","year":"2024","intvolume":"        26","citation":{"ieee":"M. Lass, T. Kenter, C. Plessl, and M. Brehm, “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations,” <i>Entropy</i>, vol. 26, no. 4, Art. no. 322, 2024, doi: <a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>.","chicago":"Lass, Michael, Tobias Kenter, Christian Plessl, and Martin Brehm. “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i> 26, no. 4 (2024). <a href=\"https://doi.org/10.3390/e26040322\">https://doi.org/10.3390/e26040322</a>.","ama":"Lass M, Kenter T, Plessl C, Brehm M. Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>. 2024;26(4). doi:<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>","apa":"Lass, M., Kenter, T., Plessl, C., &#38; Brehm, M. (2024). Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>, <i>26</i>(4), Article 322. <a href=\"https://doi.org/10.3390/e26040322\">https://doi.org/10.3390/e26040322</a>","short":"M. Lass, T. Kenter, C. Plessl, M. Brehm, Entropy 26 (2024).","mla":"Lass, Michael, et al. “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i>, vol. 26, no. 4, 322, MDPI AG, 2024, doi:<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>.","bibtex":"@article{Lass_Kenter_Plessl_Brehm_2024, title={Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations}, volume={26}, DOI={<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>}, number={4322}, journal={Entropy}, publisher={MDPI AG}, author={Lass, Michael and Kenter, Tobias and Plessl, Christian and Brehm, Martin}, year={2024} }"},"publication_identifier":{"issn":["1099-4300"]},"publication_status":"published","issue":"4","title":"Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations","doi":"10.3390/e26040322","date_updated":"2024-04-12T18:34:32Z","publisher":"MDPI AG","volume":26,"author":[{"orcid":"0000-0002-5708-7632","last_name":"Lass","id":"24135","full_name":"Lass, Michael","first_name":"Michael"},{"first_name":"Tobias","full_name":"Kenter, Tobias","id":"3145","last_name":"Kenter"},{"first_name":"Christian","last_name":"Plessl","orcid":"0000-0001-5728-9982","id":"16153","full_name":"Plessl, Christian"},{"first_name":"Martin","id":"100167","full_name":"Brehm, Martin","last_name":"Brehm"}],"date_created":"2024-04-12T18:31:39Z"},{"language":[{"iso":"ger"}],"_id":"53472","department":[{"_id":"465"},{"_id":"5"}],"series_title":"Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller","user_id":"105","editor":[{"last_name":"Eke","full_name":"Eke, Norbert","id":"104","first_name":"Norbert"},{"first_name":"Stefan","orcid":"0000-0002-4719-1073","last_name":"Elit","full_name":"Elit, Stefan","id":"105"}],"status":"public","type":"book_editor","title":"'Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23","publisher":"Aisthesis","date_updated":"2024-04-12T16:19:16Z","volume":"41.","date_created":"2024-04-12T15:56:15Z","place":"Bielefeld","year":"2024","page":"178","citation":{"apa":"Eke, N., &#38; Elit, S. (Eds.). (2024). <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23: Vol. 41.</i> Aisthesis.","mla":"Eke, Norbert, and Stefan Elit, editors. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23</i>. Aisthesis, 2024.","short":"N. Eke, S. Elit, eds., ’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23, Aisthesis, Bielefeld, 2024.","bibtex":"@book{Eke_Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller}, title={’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23}, volume={41.}, publisher={Aisthesis}, year={2024}, collection={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller} }","ieee":"N. Eke and S. Elit, Eds., <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23</i>, vol. 41. Bielefeld: Aisthesis, 2024.","chicago":"Eke, Norbert, and Stefan Elit, eds. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23</i>. Vol. 41. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024.","ama":"Eke N, Elit S, eds. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23</i>. Vol 41. Aisthesis; 2024."},"publication_identifier":{"eisbn":["978-3-8498-1958-3"],"isbn":["978-3-8498-1957-6"]},"publication_status":"published"}]
