[{"citation":{"apa":"Dong, C.-D., & Schumacher, S. (2019). Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer.","mla":"Dong, Chuan-Ding, and Stefan Schumacher. Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer. 2019.","ieee":"C.-D. Dong and S. Schumacher, “Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer.” 2019.","ama":"Dong C-D, Schumacher S. Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer. Published online 2019.","short":"C.-D. Dong, S. Schumacher, (2019).","chicago":"Dong, Chuan-Ding, and Stefan Schumacher. “Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer,” 2019.","bibtex":"@article{Dong_Schumacher_2019, title={Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer}, author={Dong, Chuan-Ding and Schumacher, Stefan}, year={2019} }"},"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"abstract":[{"lang":"eng","text":"<div>\r\n\t\t\t<div>\r\n\t\t\t\t<div>\r\n\t\t\t\t\t<p>Molecular doping in conjugated polymers is a crucial process for their application in organic\r\nphotovoltaics and optoelectronics. In the present work we theoretically investigate p-type molecu-\r\nlar doping in a series of (poly[2,6-(4,4-bis(2-ethylhexyl)-4H-cyclopenta[2,1-b;3,4-b”]dithiophene)-alt-\r\n4,7-(2,1,3-benzothiadiazole)] (PCPDT-BT) conjugated oligomers with different lengths and three\r\nwidely-used dopants with different electron affinities, namely F4TCNQ, F6TCNNQ, and CN6-CP.\r\nWe study in detail the molecular geometry of possible oligomer-dopant complexes and its influence\r\non the doping mechanisms and electronic system properties. We find that the mechanisms of dop-\r\ning and charge transfer observed sensitively depend on the specific geometry of the oligomer-dopant\r\ncomplexes. For a given complex different geometries may exist, some of which show transfer of\r\nan entire electron from the oligomer chain onto the dopant molecule resulting in an integer-charge\r\ntransfer complex, leaving the system in a ground state with broken spin symmetry. In other ge-\r\nometries merely hybridization of oligomer and dopant frontier orbitals occurs with partial charge\r\ntransfer but spin-symmetric ground state. Considering the resulting electronic density of states both\r\ncases may well contribute to an increased electrical conductivity of corresponding film samples while\r\nthe underlying physical mechanisms are entirely different.\r\n</p>\r\n\t\t\t\t</div>\r\n\t\t\t</div>\r\n\t\t</div>"}],"date_created":"2019-09-19T13:44:34Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"35"},{"_id":"27"}],"type":"preprint","author":[{"full_name":"Dong, Chuan-Ding","first_name":"Chuan-Ding","last_name":"Dong","id":"67188"},{"id":"27271","last_name":"Schumacher","first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"}],"status":"public","title":"Molecular Doping of PCPDT-BT Copolymers: Comparison of Molecular Complexes with and Without Integer Charge Transfer","year":"2019","publication_status":"published","date_updated":"2025-12-05T14:31:11Z","language":[{"iso":"eng"}],"_id":"13347","user_id":"16199"},{"date_created":"2019-09-19T13:36:01Z","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"313"},{"_id":"230"},{"_id":"35"},{"_id":"27"},{"_id":"2"}],"issue":"7","publication":"The Journal of Physical Chemistry C","language":[{"iso":"eng"}],"doi":"10.1021/acs.jpcc.8b10730","year":"2019","title":"Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis","author":[{"full_name":"Vollbrecht, Joachim","last_name":"Vollbrecht","first_name":"Joachim"},{"full_name":"Wiebeler, Christian","last_name":"Wiebeler","first_name":"Christian"},{"last_name":"Bock","first_name":"Harald","full_name":"Bock, Harald"},{"full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","first_name":"Stefan","id":"27271"},{"id":"254","last_name":"Kitzerow","first_name":"Heinz-Siegfried","full_name":"Kitzerow, Heinz-Siegfried"}],"publication_identifier":{"issn":["1932-7447","1932-7455"]},"publication_status":"published","date_updated":"2025-12-05T14:29:56Z","intvolume":" 123","citation":{"ama":"Vollbrecht J, Wiebeler C, Bock H, Schumacher S, Kitzerow H-S. Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis. The Journal of Physical Chemistry C. 2019;123(7):4483-4492. doi:10.1021/acs.jpcc.8b10730","bibtex":"@article{Vollbrecht_Wiebeler_Bock_Schumacher_Kitzerow_2019, title={Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis}, volume={123}, DOI={10.1021/acs.jpcc.8b10730}, number={7}, journal={The Journal of Physical Chemistry C}, author={Vollbrecht, Joachim and Wiebeler, Christian and Bock, Harald and Schumacher, Stefan and Kitzerow, Heinz-Siegfried}, year={2019}, pages={4483–4492} }","mla":"Vollbrecht, Joachim, et al. “Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis.” The Journal of Physical Chemistry C, vol. 123, no. 7, 2019, pp. 4483–92, doi:10.1021/acs.jpcc.8b10730.","chicago":"Vollbrecht, Joachim, Christian Wiebeler, Harald Bock, Stefan Schumacher, and Heinz-Siegfried Kitzerow. “Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis.” The Journal of Physical Chemistry C 123, no. 7 (2019): 4483–92. https://doi.org/10.1021/acs.jpcc.8b10730.","short":"J. Vollbrecht, C. Wiebeler, H. Bock, S. Schumacher, H.-S. Kitzerow, The Journal of Physical Chemistry C 123 (2019) 4483–4492.","apa":"Vollbrecht, J., Wiebeler, C., Bock, H., Schumacher, S., & Kitzerow, H.-S. (2019). Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis. The Journal of Physical Chemistry C, 123(7), 4483–4492. https://doi.org/10.1021/acs.jpcc.8b10730","ieee":"J. Vollbrecht, C. Wiebeler, H. Bock, S. Schumacher, and H.-S. Kitzerow, “Curved Polar Dibenzocoronene Esters and Imides versus Their Planar Centrosymmetric Homologs: Photophysical and Optoelectronic Analysis,” The Journal of Physical Chemistry C, vol. 123, no. 7, pp. 4483–4492, 2019, doi: 10.1021/acs.jpcc.8b10730."},"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"page":"4483-4492","_id":"13343","user_id":"16199","volume":123,"status":"public"},{"doi":"10.24403/jp.1016426","language":[{"iso":"ger"}],"main_file_link":[{"open_access":"1","url":"https://zs.thulb.uni-jena.de/servlets/MCRFileNodeServlet/jportal_derivate_00292234/SSuM_Ausgabe_4_2019_Sonderausgabe_Aktuell_021_040.pdf"}],"date_updated":"2025-12-10T15:58:12Z","publication_status":"published","author":[{"id":"31513","full_name":"Riedl, Lars","first_name":"Lars","last_name":"Riedl"},{"last_name":"\tEhnold","first_name":"Peter","full_name":"\tEhnold, Peter"},{"last_name":"Schlesinger","first_name":"Torsten ","full_name":"Schlesinger, Torsten "}],"publication_identifier":{"issn":["1869-8247"]},"title":"Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen","year":"2019","department":[{"_id":"175"}],"type":"journal_article","date_created":"2024-01-15T10:05:29Z","abstract":[{"text":"Trotz hoher Aktualität und steigender Bedeutung liegen zum Thema Digitalisierung im Sportverein bisher kaum empirische Erkenntnisse vor. Der vorliegende Beitrag setzt sich mit folgenden Fragestellungen auseinander: (i) In welchem Umfang und zu welchem Zweck nutzen Sportvereine digitale Instrumente? (ii) Welche vereinsspezifischen Faktoren determinieren das jeweilige Nutzungsverhalten? Hierzu wurde eine Stichprobe von n=787 Sportvereinen aus Österreich und Deutschland generiert. Es zeigt sich, dass digitale Instrumente vor allem zur internen und externen Kommunikation sowie zur Bewältigung klassischer Verwaltungsaufgaben eingesetzt werden. Das Ausmaß der Nutzung hängt einerseits von vereinsexternen Bedingungen ab. So zeigt sich dahingehend ein Ländereffekt, dass in Deutschland digitale Instrumente stärker genutzt werden als in Österreich. Darüber hinaus haben Auflagen seitens der Verbände zur Verwendung bestimmter Software (z.B. für die Meldung von Wettkampfergebnissen) einen wichtigen Einfluss. Andererseits bestimmen vereinsinterne Faktoren wesentlich das Nutzungsverhalten. Positiv wirken vor allem die Vereinsziele ‚Engagement/Erfolg im Leistungssport‘ und ‚Wollen Vorreiterrolle bei der Digitalisierung einnehmen‘. Negativ wirken eine fehlende Strategie im Umgang mit digitalen Instrumenten sowie die Einschätzung, dass digitale Prozesse nicht zur eigenen Vereinskultur passen.\r\n","lang":"ger"}],"issue":"4","publication":"Sciamus - Sport und Management","user_id":"31513","_id":"50496","page":"21-40","status":"public","oa":"1","citation":{"bibtex":"@article{Riedl_\tEhnold_Schlesinger_2019, title={Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen}, DOI={10.24403/jp.1016426}, number={4}, journal={Sciamus - Sport und Management}, author={Riedl, Lars and \tEhnold, Peter and Schlesinger, Torsten }, year={2019}, pages={21–40} }","chicago":"Riedl, Lars, Peter \tEhnold, and Torsten Schlesinger. “Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen.” Sciamus - Sport und Management, no. 4 (2019): 21–40. https://doi.org/10.24403/jp.1016426.","ama":"Riedl L, \tEhnold P, Schlesinger T. Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen. Sciamus - Sport und Management. 2019;(4):21-40. doi:10.24403/jp.1016426","short":"L. Riedl, P. \tEhnold, T. Schlesinger, Sciamus - Sport und Management (2019) 21–40.","ieee":"L. Riedl, P. \tEhnold, and T. Schlesinger, “Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen,” Sciamus - Sport und Management, no. 4, pp. 21–40, 2019, doi: 10.24403/jp.1016426.","mla":"Riedl, Lars, et al. “Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen.” Sciamus - Sport und Management, no. 4, 2019, pp. 21–40, doi:10.24403/jp.1016426.","apa":"Riedl, L., \tEhnold, P., & Schlesinger, T. (2019). Digitalisierung im organisierten Sport. Eine Analyse zur Nutzung digitaler Instrumente in Sportvereinen. Sciamus - Sport und Management, 4, 21–40. https://doi.org/10.24403/jp.1016426"}},{"title":"Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten","status":"public","year":"2019","author":[{"last_name":"Kehne","first_name":"Franziska","full_name":"Kehne, Franziska"},{"full_name":"Fechner, Sabine","orcid":"0000-0001-5645-5870","last_name":"Fechner","first_name":"Sabine","id":"54823"}],"date_updated":"2025-12-11T13:41:23Z","page":"755-758","main_file_link":[{"url":"https://gdcp-ev.de/wp-content/tb2019/TB2019_755_Kehne.pdf"}],"language":[{"iso":"ger"}],"_id":"23764","publisher":"Universität Regensburg","user_id":"54823","editor":[{"first_name":"Christian ","last_name":"Maurer","full_name":"Maurer, Christian "}],"publication":"Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018","citation":{"mla":"Kehne, Franziska, and Sabine Fechner. “Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten.” Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018, edited by Christian Maurer, Universität Regensburg, 2019, pp. 755–58.","ama":"Kehne F, Fechner S. Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten. In: Maurer C, ed. Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018. Universität Regensburg; 2019:755-758.","bibtex":"@inproceedings{Kehne_Fechner_2019, title={Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten}, booktitle={Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018}, publisher={Universität Regensburg}, author={Kehne, Franziska and Fechner, Sabine}, editor={Maurer, Christian }, year={2019}, pages={755–758} }","apa":"Kehne, F., & Fechner, S. (2019). Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten. In C. Maurer (Ed.), Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018 (pp. 755–758). Universität Regensburg.","ieee":"F. Kehne and S. Fechner, “Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten,” in Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018, 2019, pp. 755–758.","short":"F. Kehne, S. Fechner, in: C. Maurer (Ed.), Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018, Universität Regensburg, 2019, pp. 755–758.","chicago":"Kehne, Franziska, and Sabine Fechner. “Enkodierung chemischer Konzepte aus lebenweltlichen Kontexten.” In Naturwissenschaftliche Bildung als Grundlage für berufliche und gesellschaftliche Teilhabe. Gesellschaft für Didaktik der Chemie und Physik, Jahrestagung in Kiel 2018, edited by Christian Maurer, 755–58. Universität Regensburg, 2019."},"date_created":"2021-09-03T17:43:47Z","type":"conference","department":[{"_id":"386"},{"_id":"33"}]},{"department":[{"_id":"386"},{"_id":"33"}],"type":"dissertation","date_created":"2025-12-03T21:32:57Z","place":"Berlin","citation":{"ieee":"F. Kehne, Analyse des Transfers von kontextualisiert erworbenem Wissen im Fach Chemie. Berlin: Logos Verlag, 2019.","apa":"Kehne, F. (2019). Analyse des Transfers von kontextualisiert erworbenem Wissen im Fach Chemie. Logos Verlag.","short":"F. Kehne, Analyse Des Transfers von Kontextualisiert Erworbenem Wissen Im Fach Chemie, Logos Verlag, Berlin, 2019.","chicago":"Kehne, Franziska. Analyse Des Transfers von Kontextualisiert Erworbenem Wissen Im Fach Chemie. Berlin: Logos Verlag, 2019.","mla":"Kehne, Franziska. Analyse Des Transfers von Kontextualisiert Erworbenem Wissen Im Fach Chemie. Logos Verlag, 2019.","bibtex":"@book{Kehne_2019, place={Berlin}, title={Analyse des Transfers von kontextualisiert erworbenem Wissen im Fach Chemie}, publisher={Logos Verlag}, author={Kehne, Franziska}, year={2019} }","ama":"Kehne F. Analyse Des Transfers von Kontextualisiert Erworbenem Wissen Im Fach Chemie. Logos Verlag; 2019."},"supervisor":[{"last_name":"Fechner","first_name":"Sabine","orcid":"0000-0001-5645-5870","full_name":"Fechner, Sabine","id":"54823"}],"user_id":"54823","_id":"62824","language":[{"iso":"eng"}],"publisher":"Logos Verlag","main_file_link":[{"url":"https://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4846&lng=deu&id="}],"date_updated":"2025-12-11T13:40:52Z","author":[{"first_name":"Franziska","last_name":"Kehne","full_name":"Kehne, Franziska"}],"year":"2019","status":"public","title":"Analyse des Transfers von kontextualisiert erworbenem Wissen im Fach Chemie"},{"doi":"10.1186/s11671-019-3004-0","user_id":"112030","volume":14,"article_number":"179","_id":"59500","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"date_updated":"2025-12-15T11:22:09Z","publication_status":"published","intvolume":" 14","year":"2019","title":"Influence of Te-Doping on Catalyst-Free VS InAs Nanowires","status":"public","publication_identifier":{"issn":["1931-7573","1556-276X"]},"author":[{"last_name":"Güsken","first_name":"Nicholas Alexander","orcid":"0000-0002-4816-0666","full_name":"Güsken, Nicholas Alexander","id":"112030"},{"first_name":"Torsten","last_name":"Rieger","full_name":"Rieger, Torsten"},{"full_name":"Mussler, Gregor","first_name":"Gregor","last_name":"Mussler"},{"first_name":"Mihail Ion","last_name":"Lepsa","full_name":"Lepsa, Mihail Ion"},{"first_name":"Detlev","last_name":"Grützmacher","full_name":"Grützmacher, Detlev"}],"type":"journal_article","date_created":"2025-04-10T13:26:06Z","issue":"1","publication":"Nanoscale Research Letters","citation":{"chicago":"Güsken, Nicholas Alexander, Torsten Rieger, Gregor Mussler, Mihail Ion Lepsa, and Detlev Grützmacher. “Influence of Te-Doping on Catalyst-Free VS InAs Nanowires.” Nanoscale Research Letters 14, no. 1 (2019). https://doi.org/10.1186/s11671-019-3004-0.","short":"N.A. Güsken, T. Rieger, G. Mussler, M.I. Lepsa, D. Grützmacher, Nanoscale Research Letters 14 (2019).","ieee":"N. A. Güsken, T. Rieger, G. Mussler, M. I. Lepsa, and D. Grützmacher, “Influence of Te-Doping on Catalyst-Free VS InAs Nanowires,” Nanoscale Research Letters, vol. 14, no. 1, Art. no. 179, 2019, doi: 10.1186/s11671-019-3004-0.","apa":"Güsken, N. A., Rieger, T., Mussler, G., Lepsa, M. I., & Grützmacher, D. (2019). Influence of Te-Doping on Catalyst-Free VS InAs Nanowires. Nanoscale Research Letters, 14(1), Article 179. https://doi.org/10.1186/s11671-019-3004-0","bibtex":"@article{Güsken_Rieger_Mussler_Lepsa_Grützmacher_2019, title={Influence of Te-Doping on Catalyst-Free VS InAs Nanowires}, volume={14}, DOI={10.1186/s11671-019-3004-0}, number={1179}, journal={Nanoscale Research Letters}, publisher={Springer Science and Business Media LLC}, author={Güsken, Nicholas Alexander and Rieger, Torsten and Mussler, Gregor and Lepsa, Mihail Ion and Grützmacher, Detlev}, year={2019} }","ama":"Güsken NA, Rieger T, Mussler G, Lepsa MI, Grützmacher D. Influence of Te-Doping on Catalyst-Free VS InAs Nanowires. Nanoscale Research Letters. 2019;14(1). doi:10.1186/s11671-019-3004-0","mla":"Güsken, Nicholas Alexander, et al. “Influence of Te-Doping on Catalyst-Free VS InAs Nanowires.” Nanoscale Research Letters, vol. 14, no. 1, 179, Springer Science and Business Media LLC, 2019, doi:10.1186/s11671-019-3004-0."}},{"project":[{"name":"TRR 142: TRR 142","_id":"53"},{"name":"TRR 142 - C: TRR 142 - Project Area C","_id":"56"},{"_id":"72","name":"TRR 142 - C2: TRR 142 - Subproject C2"}],"citation":{"short":"A. Ferreri, V. Ansari, C. Silberhorn, P.R. Sharapova, Physical Review A 100 (2019).","chicago":"Ferreri, Alessandro, V. Ansari, Christine Silberhorn, and Polina R. Sharapova. “Temporally Multimode Four-Photon Hong-Ou-Mandel Interference.” Physical Review A 100, no. 5 (2019). https://doi.org/10.1103/physreva.100.053829.","ieee":"A. Ferreri, V. Ansari, C. Silberhorn, and P. R. Sharapova, “Temporally multimode four-photon Hong-Ou-Mandel interference,” Physical Review A, vol. 100, no. 5, Art. no. 053829, 2019, doi: 10.1103/physreva.100.053829.","apa":"Ferreri, A., Ansari, V., Silberhorn, C., & Sharapova, P. R. (2019). Temporally multimode four-photon Hong-Ou-Mandel interference. Physical Review A, 100(5), Article 053829. https://doi.org/10.1103/physreva.100.053829","bibtex":"@article{Ferreri_Ansari_Silberhorn_Sharapova_2019, title={Temporally multimode four-photon Hong-Ou-Mandel interference}, volume={100}, DOI={10.1103/physreva.100.053829}, number={5053829}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Ferreri, Alessandro and Ansari, V. and Silberhorn, Christine and Sharapova, Polina R.}, year={2019} }","ama":"Ferreri A, Ansari V, Silberhorn C, Sharapova PR. Temporally multimode four-photon Hong-Ou-Mandel interference. Physical Review A. 2019;100(5). doi:10.1103/physreva.100.053829","mla":"Ferreri, Alessandro, et al. “Temporally Multimode Four-Photon Hong-Ou-Mandel Interference.” Physical Review A, vol. 100, no. 5, 053829, American Physical Society (APS), 2019, doi:10.1103/physreva.100.053829."},"status":"public","volume":100,"user_id":"16199","_id":"40384","publisher":"American Physical Society (APS)","publication":"Physical Review A","issue":"5","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"288"},{"_id":"230"},{"_id":"429"},{"_id":"35"}],"type":"journal_article","date_created":"2023-01-26T14:12:28Z","intvolume":" 100","publication_status":"published","date_updated":"2025-12-16T11:28:33Z","publication_identifier":{"issn":["2469-9926","2469-9934"]},"author":[{"full_name":"Ferreri, Alessandro","last_name":"Ferreri","first_name":"Alessandro","id":"65609"},{"last_name":"Ansari","first_name":"V.","full_name":"Ansari, V."},{"id":"26263","first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine"},{"id":"60286","full_name":"Sharapova, Polina R.","first_name":"Polina R.","last_name":"Sharapova"}],"year":"2019","title":"Temporally multimode four-photon Hong-Ou-Mandel interference","doi":"10.1103/physreva.100.053829","language":[{"iso":"eng"}],"article_number":"053829"},{"quality_controlled":"1","citation":{"ieee":"M. Ludwig and S. Jablonski, “Doing Math Modelling Outdoors-A Special Math Class Activity designed with MathCityMap,” 2019.","apa":"Ludwig, M., & Jablonski, S. (2019). Doing Math Modelling Outdoors-A Special Math Class Activity designed with MathCityMap.","chicago":"Ludwig, M, and S Jablonski. “Doing Math Modelling Outdoors-A Special Math Class Activity Designed with MathCityMap,” 2019.","short":"M. Ludwig, S. Jablonski, (2019).","mla":"Ludwig, M., and S. Jablonski. Doing Math Modelling Outdoors-A Special Math Class Activity Designed with MathCityMap. 2019.","bibtex":"@article{Ludwig_Jablonski_2019, title={Doing Math Modelling Outdoors-A Special Math Class Activity designed with MathCityMap}, author={Ludwig, M and Jablonski, S}, year={2019} }","ama":"Ludwig M, Jablonski S. Doing Math Modelling Outdoors-A Special Math Class Activity designed with MathCityMap. Published online 2019."},"type":"journal_article","date_created":"2025-12-17T08:53:35Z","publication_status":"published","date_updated":"2025-12-17T08:56:11Z","title":"Doing Math Modelling Outdoors-A Special Math Class Activity designed with MathCityMap","status":"public","year":"2019","publication_identifier":{"issn":["978-84-9048-661-0"]},"author":[{"full_name":"Ludwig, M","last_name":"Ludwig","first_name":"M"},{"last_name":"Jablonski","first_name":"S","full_name":"Jablonski, S"}],"user_id":"111489","_id":"63177"},{"author":[{"last_name":"Decker","first_name":"Claudia","full_name":"Decker, Claudia","id":"31046"},{"full_name":"Mochalova, Maria","last_name":"Mochalova","first_name":"Maria"}],"conference":{"location":"Universität Osnabrück","start_date":"19.9.2019","name":"Lehrer*innen als Alleskönner? Querschnittsthemen zwischen Professionsanspruch und De-Professionalisierung. Tagung der Hochschulen des Niedersächsischen Verbundes zur Lehrerbildung und der HRK"},"title":"Professionalisierung im Lehramtsstudium an der Universität Paderborn","status":"public","year":"2019","date_updated":"2025-12-18T10:52:15Z","_id":"63197","language":[{"iso":"eng"}],"user_id":"31046","citation":{"ama":"Decker C, Mochalova M. Professionalisierung im Lehramtsstudium an der Universität Paderborn. In: ; 2019.","bibtex":"@inproceedings{Decker_Mochalova_2019, title={Professionalisierung im Lehramtsstudium an der Universität Paderborn}, author={Decker, Claudia and Mochalova, Maria}, year={2019} }","mla":"Decker, Claudia, and Maria Mochalova. Professionalisierung Im Lehramtsstudium an Der Universität Paderborn. 2019.","chicago":"Decker, Claudia, and Maria Mochalova. “Professionalisierung Im Lehramtsstudium an Der Universität Paderborn,” 2019.","short":"C. Decker, M. Mochalova, in: 2019.","apa":"Decker, C., & Mochalova, M. (2019). Professionalisierung im Lehramtsstudium an der Universität Paderborn. Lehrer*innen als Alleskönner? Querschnittsthemen zwischen Professionsanspruch und De-Professionalisierung. Tagung der Hochschulen des Niedersächsischen Verbundes zur Lehrerbildung und der HRK, Universität Osnabrück.","ieee":"C. Decker and M. Mochalova, “Professionalisierung im Lehramtsstudium an der Universität Paderborn,” presented at the Lehrer*innen als Alleskönner? Querschnittsthemen zwischen Professionsanspruch und De-Professionalisierung. Tagung der Hochschulen des Niedersächsischen Verbundes zur Lehrerbildung und der HRK, Universität Osnabrück, 2019."},"date_created":"2025-12-18T10:52:09Z","department":[{"_id":"33"}],"type":"conference"},{"language":[{"iso":"eng"}],"doi":"10.1093/imrn/rnz056","author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"year":"2019","title":"Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?","intvolume":" 2021","date_updated":"2025-12-18T19:59:29Z","publication_status":"published","date_created":"2025-12-18T19:35:55Z","type":"journal_article","publication":"International Mathematics Research Notices","issue":"11","abstract":[{"lang":"eng","text":"Abstract\r\n We consider the spatially 2D version of the model $$\\begin{equation*} \\qquad\\quad\\left\\{ \\begin{array}{@{}rcll} n_t + u\\cdot\\nabla n &=& \\Delta n - \\nabla \\cdot \\big(nS(x,n,c) \\cdot \\nabla c \\big), \\qquad &\\qquad x\\in \\Omega, \\ t&gt;0, \\\\ c_t + u\\cdot \\nabla c &=& \\Delta c - n f(c), \\qquad &\\qquad x\\in \\Omega, \\ t&gt;0, \\\\ u_t &=& \\Delta u + \\nabla P + n\\nabla\\phi, \\qquad \\nabla\\cdot u=0, \\qquad &\\qquad x\\in \\Omega, \\ t&gt;0, \\end{array} \\right. \\qquad \\qquad (\\star) \\end{equation*}$$for nutrient taxis processes, possibly interacting with liquid environments. Here the particular focus is on the situation when the chemotactic sensitivity $S$ is not a scalar function but rather attains general values in ${\\mathbb{R}}^{2\\times 2}$, thus accounting for rotational flux components in accordance with experimental findings and recent modeling approaches. Reflecting significant new challenges that mainly stem from apparent loss of energy-like structures, especially for initial data with large size, the knowledge on ($\\star$) so far seems essentially restricted to results on global existence of certain generalized solutions with possibly quite poor boundedness and regularity properties; widely unaddressed seem aspects related to possible effects of such non-diagonal taxis mechanisms on the qualitative solution behavior, especially with regard to the fundamental question whether spatial structures may thereby be supported. The present work answers the latter in the negative in the following sense: under the assumptions that the initial data $(n_0,c_0,u_0)$ and the parameter functions $S$, $f$, and $\\phi$ are sufficiently smooth, and that $S$ is bounded and $f$ is positive on $(0,\\infty )$ with $f(0)=0$, it is shown that any nontrivial of these solutions eventually becomes smooth and satisfies $$\\begin{equation*} n(\\cdot,t)\\to - \\int_\\Omega n_0, \\quad c(\\cdot,t)\\to 0 \\quad \\text{and} \\quad u(\\cdot,t)\\to 0 \\qquad \\text{as} \\ t\\to\\infty, \\end{equation*}$$uniformly with respect to $x\\in \\Omega$. By not requiring any smallness condition on the initial data, the latter seems new even in the corresponding fluid-free version obtained on letting $u\\equiv 0$ in ($\\star$)."}],"_id":"63325","publisher":"Oxford University Press (OUP)","page":"8106-8152","volume":2021,"user_id":"31496","status":"public","citation":{"mla":"Winkler, Michael. “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?” International Mathematics Research Notices, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8106–52, doi:10.1093/imrn/rnz056.","bibtex":"@article{Winkler_2019, title={Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?}, volume={2021}, DOI={10.1093/imrn/rnz056}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2019}, pages={8106–8152} }","ama":"Winkler M. Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices. 2019;2021(11):8106-8152. doi:10.1093/imrn/rnz056","ieee":"M. Winkler, “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?,” International Mathematics Research Notices, vol. 2021, no. 11, pp. 8106–8152, 2019, doi: 10.1093/imrn/rnz056.","apa":"Winkler, M. (2019). Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices, 2021(11), 8106–8152. https://doi.org/10.1093/imrn/rnz056","chicago":"Winkler, Michael. “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?” International Mathematics Research Notices 2021, no. 11 (2019): 8106–52. https://doi.org/10.1093/imrn/rnz056.","short":"M. Winkler, International Mathematics Research Notices 2021 (2019) 8106–8152."}},{"abstract":[{"lang":"eng","text":"AbstractIn boundedn-dimensional domainsΩ, the Neumann problem for the parabolic equation$$\\begin{array}{} \\displaystyle u_t = \\nabla \\cdot \\Big( A(x,t)\\cdot\\nabla u\\Big) + \\nabla \\cdot \\Big(b(x,t)u\\Big) - f(x,t,u)+g(x,t) \\end{array}$$(*)is considered for sufficiently regular matrix-valuedA, vector-valuedband real valuedg, and withfrepresenting superlinear absorption in generalizing the prototypical choice given byf(⋅, ⋅,s) =sαwithα> 1. Problems of this form arise in a natural manner as sub-problems in several applications such as cross-diffusion systems either of Keller-Segel or of Shigesada-Kawasaki-Teramoto type in mathematical biology, and accordingly a natural space for initial data appears to beL1(Ω).The main objective thus consists in examining how far solutions can be constructed for initial data merely assumed to be integrable, with major challenges potentially resulting from the interplay between nonlinear degradation on the one hand, and the possibly destabilizing drift-type action on the other in such contexts. Especially, the applicability of well-established methods such as techniques relying on entropy-like structures available in some particular cases, for instance, seems quite limited in the present setting, as these typically rely on higher initial regularity properties.The first of the main results shows that in the general framework of (*), nevertheless certain global very weak solutions can be constructed through a limit process involving smooth solutions to approximate variants thereof, provided that the ingredients of the latter satisfy appropriate assumptions with regard to their stabilization behavior.The second and seemingly most substantial part of the paper develops a method by which it can be shown, under suitably stregthened hypotheses on the integrability ofband the degradation parameterα, that the solutions obtained above in fact form genuine weak solutions in a naturally defined sense. This is achieved by properly exploiting a weak integral inequality, as satisfied by the very weak solution at hand, through a testing procedure that appears to be novel and of potentially independent interest.To underline the strength of this approach, both these general results are thereafter applied to two specific cross-diffusion systems. Inter alia, this leads to a statement on global solvability in a logistic Keller-Segel system under the assumptionα>$\\begin{array}{} \\frac{2n+4}{n+4} \\end{array}$on the respective degradation rate which seems substantially milder than any previously found condition in the literature. Apart from that, for a Shigesada-Kawasaki-Teramoto system some apparently first results on global solvability forL1initial data are derived."}],"publication":"Advances in Nonlinear Analysis","issue":"1","type":"journal_article","date_created":"2025-12-18T19:45:09Z","date_updated":"2025-12-18T20:01:54Z","publication_status":"published","intvolume":" 9","year":"2019","title":"The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1","author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["2191-950X"]},"doi":"10.1515/anona-2020-0013","language":[{"iso":"eng"}],"citation":{"ama":"Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis. 2019;9(1):526-566. doi:10.1515/anona-2020-0013","bibtex":"@article{Winkler_2019, title={The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1}, volume={9}, DOI={10.1515/anona-2020-0013}, number={1}, journal={Advances in Nonlinear Analysis}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2019}, pages={526–566} }","mla":"Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in L1.” Advances in Nonlinear Analysis, vol. 9, no. 1, Walter de Gruyter GmbH, 2019, pp. 526–66, doi:10.1515/anona-2020-0013.","short":"M. Winkler, Advances in Nonlinear Analysis 9 (2019) 526–566.","chicago":"Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in L1.” Advances in Nonlinear Analysis 9, no. 1 (2019): 526–66. https://doi.org/10.1515/anona-2020-0013.","apa":"Winkler, M. (2019). The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis, 9(1), 526–566. https://doi.org/10.1515/anona-2020-0013","ieee":"M. Winkler, “The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1,” Advances in Nonlinear Analysis, vol. 9, no. 1, pp. 526–566, 2019, doi: 10.1515/anona-2020-0013."},"status":"public","user_id":"31496","volume":9,"page":"526-566","_id":"63337","publisher":"Walter de Gruyter GmbH"},{"page":"4973-4997","language":[{"iso":"eng"}],"_id":"63334","publisher":"Elsevier BV","user_id":"31496","doi":"10.1016/j.jde.2019.10.046","volume":268,"title":"Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy","status":"public","year":"2019","author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"}],"publication_identifier":{"issn":["0022-0396"]},"publication_status":"published","date_updated":"2025-12-18T20:01:29Z","intvolume":" 268","date_created":"2025-12-18T19:40:07Z","type":"journal_article","issue":"9","publication":"Journal of Differential Equations","citation":{"mla":"Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97, doi:10.1016/j.jde.2019.10.046.","bibtex":"@article{Tao_Winkler_2019, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy}, volume={268}, DOI={10.1016/j.jde.2019.10.046}, number={9}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={4973–4997} }","ama":"Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2019;268(9):4973-4997. doi:10.1016/j.jde.2019.10.046","ieee":"Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy,” Journal of Differential Equations, vol. 268, no. 9, pp. 4973–4997, 2019, doi: 10.1016/j.jde.2019.10.046.","apa":"Tao, Y., & Winkler, M. (2019). Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations, 268(9), 4973–4997. https://doi.org/10.1016/j.jde.2019.10.046","chicago":"Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268, no. 9 (2019): 4973–97. https://doi.org/10.1016/j.jde.2019.10.046.","short":"Y. Tao, M. Winkler, Journal of Differential Equations 268 (2019) 4973–4997."}},{"doi":"10.1137/19m1250261","user_id":"31496","volume":79,"page":"1990-2010","_id":"63349","publisher":"Society for Industrial & Applied Mathematics (SIAM)","language":[{"iso":"eng"}],"date_updated":"2025-12-19T10:47:44Z","publication_status":"published","intvolume":" 79","year":"2019","status":"public","title":"Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection","author":[{"full_name":"Bellomo, Nicola","first_name":"Nicola","last_name":"Bellomo"},{"full_name":"Painter, Kevin J.","first_name":"Kevin J.","last_name":"Painter"},{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0036-1399","1095-712X"]},"type":"journal_article","date_created":"2025-12-19T10:47:32Z","issue":"5","publication":"SIAM Journal on Applied Mathematics","citation":{"bibtex":"@article{Bellomo_Painter_Tao_Winkler_2019, title={Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection}, volume={79}, DOI={10.1137/19m1250261}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Bellomo, Nicola and Painter, Kevin J. and Tao, Youshan and Winkler, Michael}, year={2019}, pages={1990–2010} }","ama":"Bellomo N, Painter KJ, Tao Y, Winkler M. Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics. 2019;79(5):1990-2010. doi:10.1137/19m1250261","mla":"Bellomo, Nicola, et al. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics, vol. 79, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2019, pp. 1990–2010, doi:10.1137/19m1250261.","short":"N. Bellomo, K.J. Painter, Y. Tao, M. Winkler, SIAM Journal on Applied Mathematics 79 (2019) 1990–2010.","chicago":"Bellomo, Nicola, Kevin J. Painter, Youshan Tao, and Michael Winkler. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics 79, no. 5 (2019): 1990–2010. https://doi.org/10.1137/19m1250261.","ieee":"N. Bellomo, K. J. Painter, Y. Tao, and M. Winkler, “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection,” SIAM Journal on Applied Mathematics, vol. 79, no. 5, pp. 1990–2010, 2019, doi: 10.1137/19m1250261.","apa":"Bellomo, N., Painter, K. J., Tao, Y., & Winkler, M. (2019). Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics, 79(5), 1990–2010. https://doi.org/10.1137/19m1250261"}},{"type":"journal_article","date_created":"2025-12-19T10:49:35Z","citation":{"ama":"Fila M, Winkler M. A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. Advances in Mathematics. 2019;357. doi:10.1016/j.aim.2019.106823","bibtex":"@article{Fila_Winkler_2019, title={A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation}, volume={357}, DOI={10.1016/j.aim.2019.106823}, number={106823}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Fila, Marek and Winkler, Michael}, year={2019} }","mla":"Fila, Marek, and Michael Winkler. “A Gagliardo-Nirenberg-Type Inequality and Its Applications to Decay Estimates for Solutions of a Degenerate Parabolic Equation.” Advances in Mathematics, vol. 357, 106823, Elsevier BV, 2019, doi:10.1016/j.aim.2019.106823.","short":"M. Fila, M. Winkler, Advances in Mathematics 357 (2019).","chicago":"Fila, Marek, and Michael Winkler. “A Gagliardo-Nirenberg-Type Inequality and Its Applications to Decay Estimates for Solutions of a Degenerate Parabolic Equation.” Advances in Mathematics 357 (2019). https://doi.org/10.1016/j.aim.2019.106823.","apa":"Fila, M., & Winkler, M. (2019). A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. Advances in Mathematics, 357, Article 106823. https://doi.org/10.1016/j.aim.2019.106823","ieee":"M. Fila and M. Winkler, “A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation,” Advances in Mathematics, vol. 357, Art. no. 106823, 2019, doi: 10.1016/j.aim.2019.106823."},"publication":"Advances in Mathematics","volume":357,"doi":"10.1016/j.aim.2019.106823","user_id":"31496","publisher":"Elsevier BV","_id":"63350","language":[{"iso":"eng"}],"article_number":"106823","intvolume":" 357","date_updated":"2025-12-19T10:49:47Z","publication_status":"published","author":[{"full_name":"Fila, Marek","first_name":"Marek","last_name":"Fila"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0001-8708"]},"status":"public","title":"A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation","year":"2019"},{"status":"public","volume":119,"user_id":"31496","_id":"63355","publisher":"Wiley","page":"1598-1632","citation":{"mla":"Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population Model with Cross‐diffusion for One Species.” Proceedings of the London Mathematical Society, vol. 119, no. 6, Wiley, 2019, pp. 1598–632, doi:10.1112/plms.12276.","ama":"Tao Y, Winkler M. Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society. 2019;119(6):1598-1632. doi:10.1112/plms.12276","bibtex":"@article{Tao_Winkler_2019, title={Boundedness and stabilization in a population model with cross‐diffusion for one species}, volume={119}, DOI={10.1112/plms.12276}, number={6}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={1598–1632} }","apa":"Tao, Y., & Winkler, M. (2019). Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society, 119(6), 1598–1632. https://doi.org/10.1112/plms.12276","ieee":"Y. Tao and M. Winkler, “Boundedness and stabilization in a population model with cross‐diffusion for one species,” Proceedings of the London Mathematical Society, vol. 119, no. 6, pp. 1598–1632, 2019, doi: 10.1112/plms.12276.","chicago":"Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population Model with Cross‐diffusion for One Species.” Proceedings of the London Mathematical Society 119, no. 6 (2019): 1598–1632. https://doi.org/10.1112/plms.12276.","short":"Y. Tao, M. Winkler, Proceedings of the London Mathematical Society 119 (2019) 1598–1632."},"intvolume":" 119","publication_status":"published","date_updated":"2025-12-19T10:54:09Z","author":[{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0024-6115","1460-244X"]},"year":"2019","title":"Boundedness and stabilization in a population model with cross‐diffusion for one species","doi":"10.1112/plms.12276","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"AbstractThis work studies the two‐species Shigesada–Kawasaki–Teramoto model with cross‐diffusion for one species, as given by\r\n\r\nwith positive parameters and , and nonnegative constants and . Beyond some statements on global existence, the literature apparently provides only few results on qualitative behavior of solutions; in particular, questions related to boundedness as well as to large time asymptotics in seem unsolved so far.In the present paper it is inter alia shown that if and is a bounded convex domain with smooth boundary, then whenever and are nonnegative, the associated Neumann initial‐boundary value problem for possesses a global classical solution which in fact is bounded in the sense that\r\n\r\nMoreover, the asymptotic behavior of arbitrary nonnegative solutions enjoying the boundedness property is studied in the general situation when is arbitrary and no longer necessarily convex. If , then in both cases and , an explicit smallness condition on is identified as sufficient for stabilization of any nontrivial solutions toward a corresponding unique nontrivial spatially homogeneous steady state. If and , then without any further assumption all nonzero solutions are seen to approach the equilibrium (0,1). As a by‐product, this particularly improves previous knowledge on nonexistence of nonconstant equilibria of ."}],"publication":"Proceedings of the London Mathematical Society","issue":"6","type":"journal_article","date_created":"2025-12-19T10:54:01Z"},{"status":"public","page":"2151-2182","publisher":"World Scientific Pub Co Pte Ltd","_id":"63356","user_id":"31496","volume":29,"citation":{"ieee":"Y. Tao and M. Winkler, “Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food,” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 11, pp. 2151–2182, 2019, doi: 10.1142/s021820251950043x.","apa":"Tao, Y., & Winkler, M. (2019). Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food. Mathematical Models and Methods in Applied Sciences, 29(11), 2151–2182. https://doi.org/10.1142/s021820251950043x","chicago":"Tao, Youshan, and Michael Winkler. “Large Time Behavior in a Forager–Exploiter Model with Different Taxis Strategies for Two Groups in Search of Food.” Mathematical Models and Methods in Applied Sciences 29, no. 11 (2019): 2151–82. https://doi.org/10.1142/s021820251950043x.","short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 2151–2182.","mla":"Tao, Youshan, and Michael Winkler. “Large Time Behavior in a Forager–Exploiter Model with Different Taxis Strategies for Two Groups in Search of Food.” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 11, World Scientific Pub Co Pte Ltd, 2019, pp. 2151–82, doi:10.1142/s021820251950043x.","bibtex":"@article{Tao_Winkler_2019, title={Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food}, volume={29}, DOI={10.1142/s021820251950043x}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={2151–2182} }","ama":"Tao Y, Winkler M. Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food. Mathematical Models and Methods in Applied Sciences. 2019;29(11):2151-2182. doi:10.1142/s021820251950043x"},"title":"Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food","year":"2019","author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","date_updated":"2025-12-19T10:54:44Z","intvolume":" 29","language":[{"iso":"eng"}],"doi":"10.1142/s021820251950043x","issue":"11","publication":"Mathematical Models and Methods in Applied Sciences","abstract":[{"text":" This work deals with a taxis cascade model for food consumption in two populations, namely foragers directly orienting their movement upward the gradients of food concentration and exploiters taking a parasitic strategy in search of food via tracking higher forager densities. As a consequence, the dynamics of both populations are adapted to the space distribution of food which is dynamically modified in time and space by the two populations. This model extends the classical one-species chemotaxis-consumption systems by additionally accounting for a second taxis mechanism coupled to the first in a consecutive manner. It is rigorously proved that for all suitably regular initial data, an associated Neumann-type initial-boundary value problem for the spatially one-dimensional version of this model possesses a globally defined bounded classical solution. Moreover, it is asserted that the considered two populations will approach spatially homogeneous distributions in the large time limit, provided that either the total population number of foragers or that of exploiters is appropriately small. ","lang":"eng"}],"date_created":"2025-12-19T10:54:36Z","type":"journal_article"},{"date_updated":"2025-12-19T10:51:33Z","publication_status":"published","intvolume":" 233","status":"public","year":"2019","title":"Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory","publication_identifier":{"issn":["0021-2172","1565-8511"]},"author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"doi":"10.1007/s11856-019-1900-8","user_id":"31496","volume":233,"page":"249-296","language":[{"iso":"eng"}],"_id":"63352","publisher":"Springer Science and Business Media LLC","publication":"Israel Journal of Mathematics","issue":"1","citation":{"apa":"Lankeit, J., & Winkler, M. (2019). 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