--- _id: '63133' author: - first_name: Ha My full_name: Truong, Ha My id: '44239' last_name: Truong citation: ama: 'Truong HM. Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten. In: ; 2023.' apa: Truong, H. M. (2023). Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten. Forschungskolleg Empirische Bildungsforschung, online - Paderborn. bibtex: '@inproceedings{Truong_2023, title={Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten}, author={Truong, Ha My}, year={2023} }' chicago: Truong, Ha My. “Wie Organisiert Sind Lehramtsstudierende in Ihrer Semester- Und Prüfungsphasenplanung? – Entwicklung Einer Evaluation Zum Selbstorganisationsverhalten,” 2023. ieee: H. M. Truong, “Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten,” presented at the Forschungskolleg Empirische Bildungsforschung, online - Paderborn, 2023. mla: Truong, Ha My. Wie Organisiert Sind Lehramtsstudierende in Ihrer Semester- Und Prüfungsphasenplanung? – Entwicklung Einer Evaluation Zum Selbstorganisationsverhalten. 2023. short: 'H.M. Truong, in: 2023.' conference: end_date: 2023-01-10 location: online - Paderborn name: Forschungskolleg Empirische Bildungsforschung start_date: 2023-01-10 date_created: 2025-12-16T13:35:10Z date_updated: 2025-12-16T13:43:11Z department: - _id: '33' language: - iso: eng status: public title: Wie organisiert sind Lehramtsstudierende in ihrer Semester- und Prüfungsphasenplanung? – Entwicklung einer Evaluation zum Selbstorganisationsverhalten type: conference user_id: '44239' year: '2023' ... --- _id: '63140' author: - first_name: Janina Carmen full_name: Letz, Janina Carmen id: '121953' last_name: Letz orcid: 0000-0002-5497-8296 citation: ama: Letz JC. Brown representability for triangulated categories with a linear action by a graded ring. Arch Math (Basel). 2023;120(2):135-146. doi:10.1007/s00013-022-01800-7 apa: Letz, J. C. (2023). Brown representability for triangulated categories with a linear action by a graded ring. Arch. Math. (Basel), 120(2), 135–146. https://doi.org/10.1007/s00013-022-01800-7 bibtex: '@article{Letz_2023, title={Brown representability for triangulated categories with a linear action by a graded ring}, volume={120}, DOI={10.1007/s00013-022-01800-7}, number={2}, journal={Arch. Math. (Basel)}, author={Letz, Janina Carmen}, year={2023}, pages={135–146} }' chicago: 'Letz, Janina Carmen. “Brown Representability for Triangulated Categories with a Linear Action by a Graded Ring.” Arch. Math. (Basel) 120, no. 2 (2023): 135–46. https://doi.org/10.1007/s00013-022-01800-7.' ieee: 'J. C. Letz, “Brown representability for triangulated categories with a linear action by a graded ring,” Arch. Math. (Basel), vol. 120, no. 2, pp. 135–146, 2023, doi: 10.1007/s00013-022-01800-7.' mla: Letz, Janina Carmen. “Brown Representability for Triangulated Categories with a Linear Action by a Graded Ring.” Arch. Math. (Basel), vol. 120, no. 2, 2023, pp. 135–46, doi:10.1007/s00013-022-01800-7. short: J.C. Letz, Arch. Math. (Basel) 120 (2023) 135–146. date_created: 2025-12-16T14:28:22Z date_updated: 2025-12-16T14:43:49Z doi: 10.1007/s00013-022-01800-7 extern: '1' intvolume: ' 120' issue: '2' language: - iso: eng page: 135-146 publication: Arch. Math. (Basel) publication_identifier: issn: - 0003-889X status: public title: Brown representability for triangulated categories with a linear action by a graded ring type: journal_article user_id: '121953' volume: 120 year: '2023' ... --- _id: '63141' author: - first_name: Henning full_name: Krause, Henning last_name: Krause - first_name: Janina Carmen full_name: Letz, Janina Carmen id: '121953' last_name: Letz orcid: 0000-0002-5497-8296 citation: ama: Krause H, Letz JC. The spectrum of a well-generated tensor-triangulated category. Bull Lond Math Soc. 2023;55(2):680-705. doi:10.1112/blms.12749 apa: Krause, H., & Letz, J. C. (2023). The spectrum of a well-generated tensor-triangulated category. Bull. Lond. Math. Soc., 55(2), 680–705. https://doi.org/10.1112/blms.12749 bibtex: '@article{Krause_Letz_2023, title={The spectrum of a well-generated tensor-triangulated category}, volume={55}, DOI={10.1112/blms.12749}, number={2}, journal={Bull. Lond. Math. Soc.}, author={Krause, Henning and Letz, Janina Carmen}, year={2023}, pages={680–705} }' chicago: 'Krause, Henning, and Janina Carmen Letz. “The Spectrum of a Well-Generated Tensor-Triangulated Category.” Bull. Lond. Math. Soc. 55, no. 2 (2023): 680–705. https://doi.org/10.1112/blms.12749.' ieee: 'H. Krause and J. C. Letz, “The spectrum of a well-generated tensor-triangulated category,” Bull. Lond. Math. Soc., vol. 55, no. 2, pp. 680–705, 2023, doi: 10.1112/blms.12749.' mla: Krause, Henning, and Janina Carmen Letz. “The Spectrum of a Well-Generated Tensor-Triangulated Category.” Bull. Lond. Math. Soc., vol. 55, no. 2, 2023, pp. 680–705, doi:10.1112/blms.12749. short: H. Krause, J.C. Letz, Bull. Lond. Math. Soc. 55 (2023) 680–705. date_created: 2025-12-16T14:28:26Z date_updated: 2025-12-16T14:45:52Z doi: 10.1112/blms.12749 extern: '1' intvolume: ' 55' issue: '2' language: - iso: eng page: 680-705 publication: Bull. Lond. Math. Soc. publication_identifier: issn: - 0024-6093 status: public title: The spectrum of a well-generated tensor-triangulated category type: journal_article user_id: '121953' volume: 55 year: '2023' ... --- _id: '46958' author: - first_name: Tassja full_name: Weber, Tassja id: '89571' last_name: Weber citation: ama: 'Weber T. Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre. In: Buchner J, Freisleben-Teutscher CF, Hüther J, et al., eds. Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung. Books on Demand GmbH; 2023.' apa: 'Weber, T. (2023). Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre. In J. Buchner, C. F. Freisleben-Teutscher, J. Hüther, I. Neiske, K. Morisse, R. Reimer, K. Tengler, & Verein Forum neue Medien in der Lehre Austria Graz (Eds.), Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung. Books on Demand GmbH.' bibtex: '@inproceedings{Weber_2023, place={Norderstedt}, title={Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre}, booktitle={Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung}, publisher={Books on Demand GmbH}, author={Weber, Tassja}, editor={Buchner, Josef and Freisleben-Teutscher, Christian F. and Hüther, Judtih and Neiske, Iris and Morisse, Karsten and Reimer, Ricarda and Tengler, Karin and Verein Forum neue Medien in der Lehre Austria Graz}, year={2023} }' chicago: 'Weber, Tassja. “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre.” In Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, edited by Josef Buchner, Christian F. Freisleben-Teutscher, Judtih Hüther, Iris Neiske, Karsten Morisse, Ricarda Reimer, Karin Tengler, and Verein Forum neue Medien in der Lehre Austria Graz. Norderstedt: Books on Demand GmbH, 2023.' ieee: 'T. Weber, “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre,” in Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, Chur (Schweiz), 2023.' mla: 'Weber, Tassja. “Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre.” Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, edited by Josef Buchner et al., Books on Demand GmbH, 2023.' short: 'T. Weber, in: J. Buchner, C.F. Freisleben-Teutscher, J. Hüther, I. Neiske, K. Morisse, R. Reimer, K. Tengler, Verein Forum neue Medien in der Lehre Austria Graz (Eds.), Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung, Books on Demand GmbH, Norderstedt, 2023.' conference: end_date: 2023-02-17 location: Chur (Schweiz) name: 'Inverted Classroom and beyond 2023:' start_date: 2023-02-16 corporate_editor: - Verein Forum neue Medien in der Lehre Austria Graz date_created: 2023-09-11T13:38:38Z date_updated: 2025-12-16T14:58:36Z department: - _id: '544' editor: - first_name: Josef full_name: Buchner, Josef last_name: Buchner - first_name: Christian F. full_name: Freisleben-Teutscher, Christian F. last_name: Freisleben-Teutscher - first_name: Judtih full_name: Hüther, Judtih last_name: Hüther - first_name: Iris full_name: Neiske, Iris last_name: Neiske - first_name: Karsten full_name: Morisse, Karsten last_name: Morisse - first_name: Ricarda full_name: Reimer, Ricarda last_name: Reimer - first_name: Karin full_name: Tengler, Karin last_name: Tengler language: - iso: ger main_file_link: - open_access: '1' url: https://www.icmbeyond.net/?page_id=2038 oa: '1' place: Norderstedt publication: 'Inverted Classroom and beyond 2023: Agile Didaktik für nachhaltige Bildung' publication_identifier: isbn: - '9783752645262' publication_status: published publisher: Books on Demand GmbH status: public title: 'Nachhaltigkeit in der Bildung fOERdern: Open Educational Resources in der Hochschullehre' type: conference user_id: '89571' year: '2023' ... --- _id: '48582' author: - first_name: Tassja full_name: Weber, Tassja id: '89571' last_name: Weber - first_name: Carolina full_name: Flinz, Carolina last_name: Flinz - first_name: Ruth full_name: Mell, Ruth last_name: Mell - first_name: Christine full_name: Möhrs, Christine last_name: Möhrs citation: ama: 'Weber T, Flinz C, Mell R, Möhrs C. Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven . In: Beißwenger M, Gredel E, Lemnitzer L, Schneider R, eds. Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen. Studien zur deutschen Sprache. Narr Francke Attempto Verlag; 2023.' apa: Weber, T., Flinz, C., Mell, R., & Möhrs, C. (2023). Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven . In M. Beißwenger, E. Gredel, L. Lemnitzer, & R. Schneider (Eds.), Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen. Narr Francke Attempto Verlag. bibtex: '@inbook{Weber_Flinz_Mell_Möhrs_2023, place={Tübingen}, series={Studien zur deutschen Sprache}, title={Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven }, booktitle={ Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen}, publisher={Narr Francke Attempto Verlag}, author={Weber, Tassja and Flinz, Carolina and Mell, Ruth and Möhrs, Christine}, editor={Beißwenger, Michael and Gredel, Eva and Lemnitzer, Lothar and Schneider, Roman}, year={2023}, collection={Studien zur deutschen Sprache} }' chicago: 'Weber, Tassja, Carolina Flinz, Ruth Mell, and Christine Möhrs. “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven .” In Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, edited by Michael Beißwenger, Eva Gredel, Lothar Lemnitzer, and Roman Schneider. Studien zur deutschen Sprache. Tübingen: Narr Francke Attempto Verlag, 2023.' ieee: 'T. Weber, C. Flinz, R. Mell, and C. Möhrs, “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven ,” in Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, M. Beißwenger, E. Gredel, L. Lemnitzer, and R. Schneider, Eds. Tübingen: Narr Francke Attempto Verlag, 2023.' mla: Weber, Tassja, et al. “Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven .” Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, edited by Michael Beißwenger et al., Narr Francke Attempto Verlag, 2023. short: 'T. Weber, C. Flinz, R. Mell, C. Möhrs, in: M. Beißwenger, E. Gredel, L. Lemnitzer, R. Schneider (Eds.), Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen, Narr Francke Attempto Verlag, Tübingen, 2023.' date_created: 2023-11-01T10:24:10Z date_updated: 2025-12-16T14:58:47Z editor: - first_name: Michael full_name: Beißwenger, Michael last_name: Beißwenger - first_name: Eva full_name: Gredel, Eva last_name: Gredel - first_name: Lothar full_name: Lemnitzer, Lothar last_name: Lemnitzer - first_name: Roman full_name: ' Schneider, Roman' last_name: ' Schneider' language: - iso: ger place: Tübingen publication: ' Korpusgestützte Sprachanalyse. Grundlagen, Anwendungen und Analysen' publication_identifier: isbn: - 978-3-8233-9610-9 publication_status: published publisher: Narr Francke Attempto Verlag series_title: Studien zur deutschen Sprache status: public title: 'Korpora für Deutsch als Fremdsprache – Potenziale und Perspektiven ' type: book_chapter user_id: '89571' year: '2023' ... --- _id: '63172' author: - first_name: S full_name: Jablonski, S last_name: Jablonski citation: ama: Jablonski S. Real objects as a reason for mathematical reasoning - A comparison of different task settings. 2023;18(4). apa: Jablonski, S. (2023). Real objects as a reason for mathematical reasoning - A comparison of different task settings. 18(4). bibtex: '@article{Jablonski_2023, title={Real objects as a reason for mathematical reasoning - A comparison of different task settings}, volume={18}, number={4}, author={Jablonski, S}, year={2023} }' chicago: Jablonski, S. “Real Objects as a Reason for Mathematical Reasoning - A Comparison of Different Task Settings” 18, no. 4 (2023). ieee: S. Jablonski, “Real objects as a reason for mathematical reasoning - A comparison of different task settings,” vol. 18, no. 4, 2023. mla: Jablonski, S. Real Objects as a Reason for Mathematical Reasoning - A Comparison of Different Task Settings. no. 4, 2023. short: S. Jablonski, 18 (2023). date_created: 2025-12-17T08:53:34Z date_updated: 2025-12-17T08:56:14Z intvolume: ' 18' issue: '4' publication_identifier: issn: - 1306-3030 publication_status: published quality_controlled: '1' status: public title: Real objects as a reason for mathematical reasoning - A comparison of different task settings type: journal_article user_id: '111489' volume: 18 year: '2023' ... --- _id: '57556' abstract: - lang: eng text: 'AbstractMathematical modelling emphasizes the connection between mathematics and reality — still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It is the aim of the study to analyze how far the mathematical modelling steps of students solving the tasks differ in comparison to the settings and representations. In a qualitative study, 19 lower secondary school students worked on tasks of all three settings in a Latin square design. Their working processes in the settings are compared with a special focus on the modelling steps Simplifying and Structuring, as well as Mathematizing. The analysis by means of activity diagrams and a qualitative content analysis shows that both steps are particularly relevant when students work with real objects — independent from the three settings. Still, differences in the actual activities could be observed in the students’ discussion on the appropriateness of a model and in dealing with inaccuracies at the real object. In addition, the process of data collection shows different procedures depending on the setting which presents each of them as an enrichment for the acquisition of modelling skills.' author: - first_name: Simone full_name: Jablonski, Simone last_name: Jablonski citation: ama: Jablonski S. Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation. Educational Studies in Mathematics. 2023;113(2):307-330. doi:10.1007/s10649-023-10215-2 apa: Jablonski, S. (2023). Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation. Educational Studies in Mathematics, 113(2), 307–330. https://doi.org/10.1007/s10649-023-10215-2 bibtex: '@article{Jablonski_2023, title={Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation}, volume={113}, DOI={10.1007/s10649-023-10215-2}, number={2}, journal={Educational Studies in Mathematics}, publisher={Springer Science and Business Media LLC}, author={Jablonski, Simone}, year={2023}, pages={307–330} }' chicago: 'Jablonski, Simone. “Is It All about the Setting? — A Comparison of Mathematical Modelling with Real Objects and Their Representation.” Educational Studies in Mathematics 113, no. 2 (2023): 307–30. https://doi.org/10.1007/s10649-023-10215-2.' ieee: 'S. Jablonski, “Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation,” Educational Studies in Mathematics, vol. 113, no. 2, pp. 307–330, 2023, doi: 10.1007/s10649-023-10215-2.' mla: Jablonski, Simone. “Is It All about the Setting? — A Comparison of Mathematical Modelling with Real Objects and Their Representation.” Educational Studies in Mathematics, vol. 113, no. 2, Springer Science and Business Media LLC, 2023, pp. 307–30, doi:10.1007/s10649-023-10215-2. short: S. Jablonski, Educational Studies in Mathematics 113 (2023) 307–330. date_created: 2024-12-04T10:46:14Z date_updated: 2025-12-17T08:56:50Z doi: 10.1007/s10649-023-10215-2 intvolume: ' 113' issue: '2' language: - iso: eng page: 307-330 publication: Educational Studies in Mathematics publication_identifier: issn: - 0013-1954 - 1573-0816 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Is it all about the setting? — A comparison of mathematical modelling with real objects and their representation type: journal_article user_id: '111489' volume: 113 year: '2023' ... --- _id: '48994' author: - first_name: Dominik full_name: Höink, Dominik id: '90389' last_name: Höink citation: ama: Höink D. Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch. 2023;107:21-30. apa: Höink, D. (2023). Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch, 107, 21–30. bibtex: '@article{Höink_2023, title={Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts}, volume={107}, journal={Kirchenmusikalisches Jahrbuch}, author={Höink, Dominik}, year={2023}, pages={21–30} }' chicago: 'Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch 107 (2023): 21–30.' ieee: D. Höink, “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts,” Kirchenmusikalisches Jahrbuch, vol. 107, pp. 21–30, 2023. mla: Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch, vol. 107, 2023, pp. 21–30. short: D. Höink, Kirchenmusikalisches Jahrbuch 107 (2023) 21–30. date_created: 2023-11-17T07:28:53Z date_updated: 2025-12-17T09:00:59Z department: - _id: '233' - _id: '716' intvolume: ' 107' language: - iso: ger page: 21-30 publication: Kirchenmusikalisches Jahrbuch publication_status: published status: public title: Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts type: journal_article user_id: '90389' volume: 107 year: '2023' ... --- _id: '63168' author: - first_name: S full_name: Jablonski, S last_name: Jablonski - first_name: M full_name: Ludwig, M last_name: Ludwig citation: ama: Jablonski S, Ludwig M. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 2023;13(7). apa: Jablonski, S., & Ludwig, M. (2023). Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 13(7). bibtex: '@article{Jablonski_Ludwig_2023, title={Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice}, volume={13}, number={7}, author={Jablonski, S and Ludwig, M}, year={2023} }' chicago: Jablonski, S, and M Ludwig. “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice” 13, no. 7 (2023). ieee: S. Jablonski and M. Ludwig, “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice,” vol. 13, no. 7, 2023. mla: Jablonski, S., and M. Ludwig. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. no. 7, 2023. short: S. Jablonski, M. Ludwig, 13 (2023). date_created: 2025-12-17T08:53:33Z date_updated: 2025-12-17T08:56:40Z intvolume: ' 13' issue: '7' publication_identifier: issn: - 2227-7102 publication_status: published quality_controlled: '1' status: public title: Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice type: journal_article user_id: '111489' volume: 13 year: '2023' ... --- _id: '63171' author: - first_name: S full_name: Jablonski, S last_name: Jablonski - first_name: S full_name: Barlovits, S last_name: Barlovits - first_name: M full_name: Ludwig, M last_name: Ludwig citation: ama: Jablonski S, Barlovits S, Ludwig M. How digital tools support the validation of outdoor modelling results. 2023;8. apa: Jablonski, S., Barlovits, S., & Ludwig, M. (2023). How digital tools support the validation of outdoor modelling results. 8. bibtex: '@article{Jablonski_Barlovits_Ludwig_2023, title={How digital tools support the validation of outdoor modelling results}, volume={8}, author={Jablonski, S and Barlovits, S and Ludwig, M}, year={2023} }' chicago: Jablonski, S, S Barlovits, and M Ludwig. “How Digital Tools Support the Validation of Outdoor Modelling Results” 8 (2023). ieee: S. Jablonski, S. Barlovits, and M. Ludwig, “How digital tools support the validation of outdoor modelling results,” vol. 8, 2023. mla: Jablonski, S., et al. How Digital Tools Support the Validation of Outdoor Modelling Results. 2023. short: S. Jablonski, S. Barlovits, M. Ludwig, 8 (2023). date_created: 2025-12-17T08:53:33Z date_updated: 2025-12-17T08:56:45Z intvolume: ' 8' publication_identifier: issn: - 2504-284X publication_status: published quality_controlled: '1' status: public title: How digital tools support the validation of outdoor modelling results type: journal_article user_id: '111489' volume: 8 year: '2023' ... --- _id: '63196' author: - first_name: Claudia full_name: Decker, Claudia id: '31046' last_name: Decker - first_name: Petra full_name: Westphal, Petra id: '42377' last_name: Westphal citation: ama: 'Decker C, Westphal P. Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. In: ; 2023.' apa: 'Decker, C., & Westphal, P. (2023). Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest.' bibtex: '@inproceedings{Decker_Westphal_2023, title={Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation}, author={Decker, Claudia and Westphal, Petra}, year={2023} }' chicago: 'Decker, Claudia, and Petra Westphal. “Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation,” 2023.' ieee: 'C. Decker and P. Westphal, “Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation,” presented at the Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest, 2023.' mla: 'Decker, Claudia, and Petra Westphal. Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation. 2023.' short: 'C. Decker, P. Westphal, in: 2023.' conference: location: Soest name: Geschlechtersensible Bildung im Lehramtsstudium in NRW start_date: 11.11.2023 date_created: 2025-12-18T10:49:37Z date_updated: 2025-12-18T10:49:44Z department: - _id: '33' language: - iso: eng status: public title: 'Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation' type: conference user_id: '31046' year: '2023' ... --- _id: '44081' article_number: '020306' author: - first_name: Laura full_name: Serino, Laura id: '88242' last_name: Serino - first_name: Jano full_name: Gil López, Jano id: '51223' last_name: Gil López - first_name: Michael full_name: Stefszky, Michael id: '42777' last_name: Stefszky - first_name: Raimund full_name: Ricken, Raimund last_name: Ricken - first_name: Christof full_name: Eigner, Christof id: '13244' last_name: Eigner orcid: https://orcid.org/0000-0002-5693-3083 - first_name: Benjamin full_name: Brecht, Benjamin id: '27150' last_name: Brecht orcid: '0000-0003-4140-0556 ' - first_name: Christine full_name: Silberhorn, Christine id: '26263' last_name: Silberhorn citation: ama: Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum. 2023;4(2). doi:10.1103/prxquantum.4.020306 apa: Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B., & Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum, 4(2), Article 020306. https://doi.org/10.1103/prxquantum.4.020306 bibtex: '@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023, title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}, volume={4}, DOI={10.1103/prxquantum.4.020306}, number={2020306}, journal={PRX Quantum}, publisher={American Physical Society (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2023} }' chicago: Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum 4, no. 2 (2023). https://doi.org/10.1103/prxquantum.4.020306. ieee: 'L. Serino et al., “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States,” PRX Quantum, vol. 4, no. 2, Art. no. 020306, 2023, doi: 10.1103/prxquantum.4.020306.' mla: Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum, vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:10.1103/prxquantum.4.020306. short: L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, PRX Quantum 4 (2023). date_created: 2023-04-20T12:38:23Z date_updated: 2025-12-18T16:15:18Z department: - _id: '288' - _id: '623' - _id: '15' doi: 10.1103/prxquantum.4.020306 intvolume: ' 4' issue: '2' keyword: - General Physics and Astronomy - Mathematical Physics - Applied Mathematics - Electronic - Optical and Magnetic Materials - Electrical and Electronic Engineering - General Computer Science language: - iso: eng publication: PRX Quantum publication_identifier: issn: - 2691-3399 publication_status: published publisher: American Physical Society (APS) status: public title: Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States type: journal_article user_id: '27150' volume: 4 year: '2023' ... --- _id: '63231' abstract: - lang: eng text: "\r\n A QCM-D probes the temperature- and concentration-dependent complex high-frequency viscosity and provides information on protein-protein interactions in solutions of monoclonal antibodies." author: - first_name: Emily full_name: Rott, Emily last_name: Rott - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Tim full_name: Diederichs, Tim last_name: Diederichs - first_name: Patrick full_name: Garidel, Patrick last_name: Garidel - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann citation: ama: Rott E, Leppin C, Diederichs T, Garidel P, Johannsmann D. Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst. 2023;148(8):1887-1897. doi:10.1039/d3an00076a apa: Rott, E., Leppin, C., Diederichs, T., Garidel, P., & Johannsmann, D. (2023). Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst, 148(8), 1887–1897. https://doi.org/10.1039/d3an00076a bibtex: '@article{Rott_Leppin_Diederichs_Garidel_Johannsmann_2023, title={Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration}, volume={148}, DOI={10.1039/d3an00076a}, number={8}, journal={The Analyst}, publisher={Royal Society of Chemistry (RSC)}, author={Rott, Emily and Leppin, Christian and Diederichs, Tim and Garidel, Patrick and Johannsmann, Diethelm}, year={2023}, pages={1887–1897} }' chicago: 'Rott, Emily, Christian Leppin, Tim Diederichs, Patrick Garidel, and Diethelm Johannsmann. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst 148, no. 8 (2023): 1887–97. https://doi.org/10.1039/d3an00076a.' ieee: 'E. Rott, C. Leppin, T. Diederichs, P. Garidel, and D. Johannsmann, “Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration,” The Analyst, vol. 148, no. 8, pp. 1887–1897, 2023, doi: 10.1039/d3an00076a.' mla: Rott, Emily, et al. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst, vol. 148, no. 8, Royal Society of Chemistry (RSC), 2023, pp. 1887–97, doi:10.1039/d3an00076a. short: E. Rott, C. Leppin, T. Diederichs, P. Garidel, D. Johannsmann, The Analyst 148 (2023) 1887–1897. date_created: 2025-12-18T17:06:08Z date_updated: 2025-12-18T17:38:31Z doi: 10.1039/d3an00076a intvolume: ' 148' issue: '8' language: - iso: eng page: 1887-1897 publication: The Analyst publication_identifier: issn: - 0003-2654 - 1364-5528 publication_status: published publisher: Royal Society of Chemistry (RSC) quality_controlled: '1' status: public title: Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration type: journal_article user_id: '117722' volume: 148 year: '2023' ... --- _id: '63228' abstract: - lang: eng text: AbstractA simulation based on the frequency‐domain lattice Boltzmann method (FreqD‐LBM) is employed to predict the shifts of resonance frequency, Δf, and half bandwidth, ΔΓ, of a quartz crystal microbalance with dissipation monitoring (QCM‐D) induced by the adsorption of rigid spheres to the resonator surface. The comparison with the experimental values of Δf and ΔΓ allows to estimate the stiffness of the contacts between the spheres and the resonator surface. The contact stiffness is of interest in contact mechanics, but also in sensing because it depends on the properties of thin films situated between the resonator surface and the sphere. The simulation differs from previous implementations of FreqD‐LBM insofar, as the material inside the particles is not included in the FreqD‐LBM algorithm. Rather, the particle surface is configured to be an oscillating boundary. The amplitude of the particles' motions (displacement and rotation) is governed by the force balance at the surface of the particle. Because the contact stiffness enters this balance, it can be derived from experimental values of Δf and ΔΓ. The simulation reproduces experiments by the Krakow group. For sufficiently small spheres, a contact stiffness can be derived from the comparison of the simulation with the experiment. article_number: '2300190' article_type: original author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff citation: ama: Johannsmann D, Leppin C, Langhoff A. Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations. 2023;6(11). doi:10.1002/adts.202300190 apa: Johannsmann, D., Leppin, C., & Langhoff, A. (2023). Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations, 6(11), Article 2300190. https://doi.org/10.1002/adts.202300190 bibtex: '@article{Johannsmann_Leppin_Langhoff_2023, title={Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation}, volume={6}, DOI={10.1002/adts.202300190}, number={112300190}, journal={Advanced Theory and Simulations}, publisher={Wiley}, author={Johannsmann, Diethelm and Leppin, Christian and Langhoff, Arne}, year={2023} }' chicago: Johannsmann, Diethelm, Christian Leppin, and Arne Langhoff. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations 6, no. 11 (2023). https://doi.org/10.1002/adts.202300190. ieee: 'D. Johannsmann, C. Leppin, and A. Langhoff, “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation,” Advanced Theory and Simulations, vol. 6, no. 11, Art. no. 2300190, 2023, doi: 10.1002/adts.202300190.' mla: Johannsmann, Diethelm, et al. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations, vol. 6, no. 11, 2300190, Wiley, 2023, doi:10.1002/adts.202300190. short: D. Johannsmann, C. Leppin, A. Langhoff, Advanced Theory and Simulations 6 (2023). date_created: 2025-12-18T17:03:12Z date_updated: 2025-12-18T17:41:08Z doi: 10.1002/adts.202300190 extern: '1' intvolume: ' 6' issue: '11' language: - iso: eng publication: Advanced Theory and Simulations publication_identifier: issn: - 2513-0390 - 2513-0390 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation type: journal_article user_id: '117722' volume: 6 year: '2023' ... --- _id: '63230' abstract: - lang: eng text: Quartz crystal microbalance with dissipation monitoring (QCM-D) is a well-established technique for studying soft films. It can provide gravimetric as well as nongravimetric information about a film, such as its thickness and mechanical properties. The interpretation of sets of overtone-normalized frequency shifts, ∆f/n, and overtone-normalized shifts in half-bandwidth, ΔΓ/n, provided by QCM-D relies on a model that, in general, contains five independent parameters that are needed to describe film thickness and frequency-dependent viscoelastic properties. Here, we examine how noise inherent in experimental data affects the determination of these parameters. There are certain conditions where noise prevents the reliable determination of film thickness and the loss tangent. On the other hand, we show that there are conditions where it is possible to determine all five parameters. We relate these conditions to the mathematical properties of the model in terms of simple conceptual diagrams that can help users understand the model’s behavior. Finally, we present new open source software for QCM-D data analysis written in Python, PyQTM. article_number: '1348' author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Ilya full_name: Reviakine, Ilya last_name: Reviakine - first_name: Anna M. C. full_name: Maan, Anna M. C. last_name: Maan citation: ama: Johannsmann D, Langhoff A, Leppin C, Reviakine I, Maan AMC. Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors. 2023;23(3). doi:10.3390/s23031348 apa: Johannsmann, D., Langhoff, A., Leppin, C., Reviakine, I., & Maan, A. M. C. (2023). Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors, 23(3), Article 1348. https://doi.org/10.3390/s23031348 bibtex: '@article{Johannsmann_Langhoff_Leppin_Reviakine_Maan_2023, title={Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model}, volume={23}, DOI={10.3390/s23031348}, number={31348}, journal={Sensors}, publisher={MDPI AG}, author={Johannsmann, Diethelm and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Maan, Anna M. C.}, year={2023} }' chicago: Johannsmann, Diethelm, Arne Langhoff, Christian Leppin, Ilya Reviakine, and Anna M. C. Maan. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors 23, no. 3 (2023). https://doi.org/10.3390/s23031348. ieee: 'D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, and A. M. C. Maan, “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model,” Sensors, vol. 23, no. 3, Art. no. 1348, 2023, doi: 10.3390/s23031348.' mla: Johannsmann, Diethelm, et al. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors, vol. 23, no. 3, 1348, MDPI AG, 2023, doi:10.3390/s23031348. short: D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, A.M.C. Maan, Sensors 23 (2023). date_created: 2025-12-18T17:05:00Z date_updated: 2025-12-18T17:39:52Z doi: 10.3390/s23031348 extern: '1' intvolume: ' 23' issue: '3' language: - iso: eng publication: Sensors publication_identifier: issn: - 1424-8220 publication_status: published publisher: MDPI AG quality_controlled: '1' status: public title: Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model type: journal_article user_id: '117722' volume: 23 year: '2023' ... --- _id: '63229' article_number: '106219' author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Judith full_name: Petri, Judith last_name: Petri - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff - first_name: Hozan full_name: Ibrahim, Hozan last_name: Ibrahim citation: ama: Johannsmann D, Petri J, Leppin C, Langhoff A, Ibrahim H. Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics. 2023;45. doi:10.1016/j.rinp.2023.106219 apa: Johannsmann, D., Petri, J., Leppin, C., Langhoff, A., & Ibrahim, H. (2023). Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics, 45, Article 106219. https://doi.org/10.1016/j.rinp.2023.106219 bibtex: '@article{Johannsmann_Petri_Leppin_Langhoff_Ibrahim_2023, title={Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method}, volume={45}, DOI={10.1016/j.rinp.2023.106219}, number={106219}, journal={Results in Physics}, publisher={Elsevier BV}, author={Johannsmann, Diethelm and Petri, Judith and Leppin, Christian and Langhoff, Arne and Ibrahim, Hozan}, year={2023} }' chicago: Johannsmann, Diethelm, Judith Petri, Christian Leppin, Arne Langhoff, and Hozan Ibrahim. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics 45 (2023). https://doi.org/10.1016/j.rinp.2023.106219. ieee: 'D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, and H. Ibrahim, “Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method,” Results in Physics, vol. 45, Art. no. 106219, 2023, doi: 10.1016/j.rinp.2023.106219.' mla: Johannsmann, Diethelm, et al. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics, vol. 45, 106219, Elsevier BV, 2023, doi:10.1016/j.rinp.2023.106219. short: D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, H. Ibrahim, Results in Physics 45 (2023). date_created: 2025-12-18T17:04:13Z date_updated: 2025-12-18T17:40:25Z doi: 10.1016/j.rinp.2023.106219 extern: '1' intvolume: ' 45' language: - iso: eng publication: Results in Physics publication_identifier: issn: - 2211-3797 publication_status: published publisher: Elsevier BV status: public title: Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method type: journal_article user_id: '117722' volume: 45 year: '2023' ... --- _id: '63285' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921 apa: Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921 bibtex: '@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921. ieee: 'M. Winkler, “Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,” Advances in Differential Equations, vol. 28, no. 11/12, 2023, doi: 10.57262/ade028-1112-921.' mla: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi:10.57262/ade028-1112-921. short: M. Winkler, Advances in Differential Equations 28 (2023). date_created: 2025-12-18T19:18:31Z date_updated: 2025-12-18T20:07:12Z doi: 10.57262/ade028-1112-921 intvolume: ' 28' issue: 11/12 language: - iso: eng publication: Advances in Differential Equations publication_identifier: issn: - 1079-9389 publication_status: published publisher: Khayyam Publishing, Inc status: public title: Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing type: journal_article user_id: '31496' volume: 28 year: '2023' ... --- _id: '63288' abstract: - lang: eng text: "Abstract\r\n The Cauchy problem in \r\n \r\n \r\n \ \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n \r\n \ {{\\mathbb{R}}}^{n}\r\n \ \r\n , \r\n \r\n \r\n \ \r\n \ n\r\n ≥\r\n \ 2\r\n \r\n \ n\\ge 2\r\n \r\n \ , for \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \r\n \r\n \r\n \r\n \ \r\n \r\n \r\n \ \r\n u\r\n \ \r\n \r\n \ t\r\n \r\n \ \r\n =\r\n \ Δ\r\n \ u\r\n −\r\n \ \r\n ∇\r\n \ \r\n ⋅\r\n \ \r\n (\r\n \ \r\n u\r\n \ S\r\n ⋅\r\n \ \r\n ∇\r\n \ \r\n v\r\n \ \r\n )\r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n 0\r\n \ =\r\n Δ\r\n v\r\n \ +\r\n u\r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \r\n \ \r\n (\r\n \ \r\n ⋆\r\n \ \r\n )\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \\begin{array}{r}\\left\\{\\phantom{\\rule[-1.25em]{}{0ex}}\\begin{array}{l}{u}_{t}=\\Delta u-\\nabla \\cdot \\left(uS\\cdot \\nabla v),\\\\ 0=\\Delta v+u,\\end{array}\\right.\\hspace{2.0em}\\hspace{2.0em}\\hspace{2.0em}\\left(\\star )\\end{array}\r\n \r\n \ is considered for general matrices \r\n \ \r\n \r\n \ \r\n \ S\r\n ∈\r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n ×\r\n \ n\r\n \r\n \ \r\n \r\n \ S\\in {{\\mathbb{R}}}^{n\\times n}\r\n \ \r\n . A theory of local-in-time classical existence and extensibility is developed in a framework that differs from those considered in large parts of the literature by involving bounded classical solutions. Specifically, it is shown that for all non-negative initial data belonging to \r\n \r\n \ \r\n \r\n BUC\r\n \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n ∩\r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n p\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ {\\rm{BUC}}\\left({{\\mathbb{R}}}^{n})\\cap {L}^{p}\\left({{\\mathbb{R}}}^{n})\r\n \r\n \ with some \r\n \r\n \ \r\n \r\n p\r\n \ ∈\r\n \r\n \ [\r\n \r\n \ 1\r\n ,\r\n \ n\r\n \r\n \ )\r\n \r\n \ \r\n p\\in \\left[1,n)\r\n \r\n , there exist \r\n \r\n \ \r\n \r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n ∈\r\n \ \r\n (\r\n \ \r\n 0\r\n \ ,\r\n ∞\r\n \ \r\n ]\r\n \ \r\n \r\n \ {T}_{\\max }\\in \\left(0,\\infty ]\r\n \ \r\n and a uniquely determined \r\n \r\n \ \r\n \r\n u\r\n \ ∈\r\n \r\n \ \r\n C\r\n \ \r\n \r\n \ 0\r\n \r\n \ \r\n \r\n \ (\r\n \r\n \ \r\n [\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ ;\r\n \r\n BUC\r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ )\r\n \r\n \ ∩\r\n \r\n \ \r\n C\r\n \ \r\n \r\n \ 0\r\n \r\n \ \r\n \r\n \ (\r\n \r\n \ \r\n [\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ ;\r\n \r\n \r\n \r\n \ L\r\n \r\n \ \r\n p\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ )\r\n \r\n \ ∩\r\n \r\n \ \r\n C\r\n \ \r\n \r\n \ ∞\r\n \r\n \ \r\n \r\n \ (\r\n \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n ×\r\n \ \r\n (\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ u\\in {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{\\rm{BUC}}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{L}^{p}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{\\infty }\\left({{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max }))\r\n \r\n \ such that with \r\n \ \r\n \r\n \ \r\n \ v\r\n ≔\r\n \ Γ\r\n ⋆\r\n \ u\r\n \r\n \ v:= \\Gamma \\star u\r\n \ \r\n , and with \r\n \r\n \ \r\n \r\n Γ\r\n \r\n \\Gamma \r\n \r\n denoting the Newtonian kernel on \r\n \r\n \ \r\n \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n {{\\mathbb{R}}}^{n}\r\n \ \r\n , the pair \r\n \r\n \ \r\n \r\n \r\n \ (\r\n \r\n \ u\r\n ,\r\n \ v\r\n \r\n \ )\r\n \r\n \ \r\n \\left(u,v)\r\n \ \r\n forms a classical solution of (\r\n \r\n \ \r\n \r\n ⋆\r\n \ \r\n \\star \r\n \r\n ) in \r\n \r\n \r\n \ \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n ×\r\n \ \r\n (\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ \r\n {{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max })\r\n \r\n \ , which has the property that \r\n \r\n \ \r\n \r\n \r\n if\r\n \r\n \r\n \ \r\n \r\n \ T\r\n \r\n \ \r\n max\r\n \ \r\n \r\n \ <\r\n ∞\r\n \ ,\r\n \r\n \r\n \r\n then both\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n limsup\r\n \ \r\n \r\n \ t\r\n ↗\r\n \ \r\n \r\n \ T\r\n \r\n \ \r\n max\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ ‖\r\n u\r\n \ \r\n (\r\n \ \r\n ⋅\r\n \ ,\r\n t\r\n \ \r\n )\r\n \ \r\n ‖\r\n \ \r\n \r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n ∞\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ \r\n =\r\n \ ∞\r\n \r\n \r\n \ and\r\n \r\n \r\n \ \r\n \r\n \ limsup\r\n \r\n \ \r\n t\r\n \ ↗\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n ‖\r\n \ \r\n ∇\r\n \ \r\n v\r\n \ \r\n (\r\n \ \r\n ⋅\r\n \ ,\r\n t\r\n \ \r\n )\r\n \ \r\n ‖\r\n \ \r\n \r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n ∞\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ \r\n =\r\n \ ∞\r\n .\r\n \ \r\n \\hspace{0.1em}\\text{if}\\hspace{0.1em}\\hspace{0.33em}{T}_{\\max }\\lt \\infty ,\\hspace{1.0em}\\hspace{0.1em}\\text{then both}\\hspace{0.1em}\\hspace{0.33em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert u\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty \\hspace{1.0em}\\hspace{0.1em}\\text{and}\\hspace{0.1em}\\hspace{1.0em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert \\nabla v\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty .\r\n \r\n An exemplary application of this provides a result on global classical solvability in cases when \r\n \r\n \ \r\n \r\n ∣\r\n \ S\r\n +\r\n \ 1\r\n ∣\r\n \ \r\n | S+{\\bf{1}}| \r\n \r\n \ is sufficiently small, where \r\n \ \r\n \r\n \ \r\n \ 1\r\n =\r\n \ diag\r\n \r\n \r\n (\r\n \ \r\n 1\r\n \ ,\r\n \r\n \ …\r\n \r\n \ ,\r\n 1\r\n \ \r\n )\r\n \ \r\n \r\n \ {\\bf{1}}={\\rm{diag}}\\hspace{0.33em}\\left(1,\\ldots ,1)\r\n \r\n ." article_number: '20220578' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics. 2023;21(1). doi:10.1515/math-2022-0578 apa: Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics, 21(1), Article 20220578. https://doi.org/10.1515/math-2022-0578 bibtex: '@article{Winkler_2023, title={Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={10.1515/math-2022-0578}, number={120220578}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics 21, no. 1 (2023). https://doi.org/10.1515/math-2022-0578. ieee: 'M. Winkler, “Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type,” Open Mathematics, vol. 21, no. 1, Art. no. 20220578, 2023, doi: 10.1515/math-2022-0578.' mla: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics, vol. 21, no. 1, 20220578, Walter de Gruyter GmbH, 2023, doi:10.1515/math-2022-0578. short: M. Winkler, Open Mathematics 21 (2023). date_created: 2025-12-18T19:19:35Z date_updated: 2025-12-18T20:07:34Z doi: 10.1515/math-2022-0578 intvolume: ' 21' issue: '1' language: - iso: eng publication: Open Mathematics publication_identifier: issn: - 2391-5455 publication_status: published publisher: Walter de Gruyter GmbH status: public title: Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type type: journal_article user_id: '31496' volume: 21 year: '2023' ... --- _id: '63287' abstract: - lang: eng text: "AbstractThe Cauchy problem in

$$\\mathbb {R}^n$$

\r\n \ \r\n \r\n R\r\n \ \r\n n\r\n \ \r\n is considered for the Keller–Segel system

$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\ 0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$

\r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ u\r\n t\r\n \ \r\n =\r\n \ Δ\r\n u\r\n \ -\r\n ∇\r\n \ ·\r\n \r\n \ (\r\n u\r\n \ ∇\r\n v\r\n \ )\r\n \r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ 0\r\n =\r\n \ Δ\r\n v\r\n \ +\r\n u\r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ (\r\n ⋆\r\n \ )\r\n \r\n \ \r\n \r\n \ \r\n \r\n \r\n \ with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric initial data

$$u_0$$

\r\n \r\n \ u\r\n 0\r\n \ \r\n with non-integrable behavior at spatial infinity. It is shown that if

$$u_0$$

\r\n \r\n \ u\r\n 0\r\n \ \r\n is continuous and bounded, then (

$$\\star $$

\r\n \ ⋆\r\n ) admits a local-in-time classical solution, whereas if

$$u_0(x)\\rightarrow +\\infty $$

\r\n \ \r\n \r\n u\r\n \ 0\r\n \r\n \ \r\n (\r\n \ x\r\n )\r\n \ \r\n →\r\n \ +\r\n ∞\r\n \ \r\n as

$$|x|\\rightarrow \\infty $$

\r\n \ \r\n |\r\n x\r\n \ |\r\n →\r\n \ ∞\r\n \r\n , then no such solution can be found. Furthermore, a collection of three sufficient criteria for either global existence or global nonexistence indicates that with respect to the occurrence of finite-time blow-up, spatial decay properties of an explicit singular steady state plays a critical role. In particular, this underlines that explosions in (

$$\\star $$

\r\n \ ⋆\r\n ) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails." author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y apa: Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y bibtex: '@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }' chicago: 'Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.' ieee: 'M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity,” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, pp. 919–959, 2023, doi: 10.1007/s41808-023-00230-y.' mla: Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:10.1007/s41808-023-00230-y. short: M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959. date_created: 2025-12-18T19:19:13Z date_updated: 2025-12-18T20:07:25Z doi: 10.1007/s41808-023-00230-y intvolume: ' 9' issue: '2' language: - iso: eng page: 919-959 publication: Journal of Elliptic and Parabolic Equations publication_identifier: issn: - 2296-9020 - 2296-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity type: journal_article user_id: '31496' volume: 9 year: '2023' ... --- _id: '63289' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Tomomi full_name: Yokota, Tomomi last_name: Yokota citation: ama: Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029 apa: Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029 bibtex: '@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }' chicago: 'Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.' ieee: 'M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems,” Journal of Differential Equations, vol. 374, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.' mla: Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029. short: M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28. date_created: 2025-12-18T19:19:57Z date_updated: 2025-12-18T20:07:42Z doi: 10.1016/j.jde.2023.07.029 intvolume: ' 374' language: - iso: eng page: 1-28 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 publication_status: published publisher: Elsevier BV status: public title: Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems type: journal_article user_id: '31496' volume: 374 year: '2023' ...