[{"year":"2022","title":"Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive?","author":[{"full_name":"Binder, Karin","first_name":"Karin","last_name":"Binder","id":"83381"},{"full_name":"Steib, Nicole","last_name":"Steib","first_name":"Nicole"},{"full_name":"Krauss, Stefan","last_name":"Krauss","first_name":"Stefan"}],"publication_identifier":{"issn":["0173-5322","1869-2699"]},"publication_status":"published","date_updated":"2025-05-17T18:37:30Z","article_type":"original","intvolume":" 44","language":[{"iso":"ger"}],"doi":"10.1007/s13138-022-00215-9","publication":"Journal für Mathematik-Didaktik","issue":"2","abstract":[{"text":"ZusammenfassungIn stochastischen Situationen mit zwei dichotomen Merkmalen erlauben weder die schulüblichen Baumdiagramme noch Vierfeldertafeln die simultane Darstellung sämtlicher in der Situation möglicher Wahrscheinlichkeiten. Das im vorliegenden Beitrag vorgestellte Netz hat die Kapazität, alle vier möglichen Randwahrscheinlichkeiten, alle vier Schnittwahrscheinlichkeiten sowie alle acht bedingten Wahrscheinlichkeiten gleichzeitig darzustellen. Darüber hinaus ist – aufgrund der Knoten-Ast-Struktur des Netzes – die simultane Darstellung von Wahrscheinlichkeiten und absoluten Häufigkeiten mit dieser Visualisierung ebenfalls möglich. Bei der sukzessiven Erweiterung des typischen Baumdiagramms zunächst zum Doppelbaum und schließlich zum Netz sinkt der Inferenzgrad (d. h. weniger kognitive Schritte sind erforderlich) z. B. für Fragen nach bedingten Wahrscheinlichkeiten, aber gleichzeitig steigt die Komplexität der Darstellung und somit die extrinsische kognitive Belastung. Im vorliegenden Artikel erfolgt zunächst ein theoretischer Vergleich dieser Knoten-Ast-Strukturen. Eine anschließende Studie illustriert, dass sich die sukzessive Erweiterung bereits vollständig ausgefüllter Diagramme positiv auf die Performanz von N = 269 Schülerinnen und Schülern auswirkt. Obwohl Häufigkeitsdoppelbäume und Häufigkeitsnetze den Schülerinnen und Schülern gänzlich unbekannt waren, unterstützten diese Visualisierungen die Schülerinnen und Schüler bei der Bearbeitung der Aufgaben am meisten.","lang":"eng"}],"file":[{"creator":"binder","date_created":"2025-05-17T18:37:16Z","date_updated":"2025-05-17T18:37:16Z","relation":"main_file","access_level":"closed","file_size":3105846,"file_name":"Binder Steib Krauss 2023 Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen - JMD.pdf","success":1,"content_type":"application/pdf","file_id":"59933"}],"date_created":"2025-04-08T11:32:04Z","type":"journal_article","status":"public","page":"471-503","publisher":"Springer Science and Business Media LLC","_id":"59432","user_id":"83381","ddc":["370"],"volume":44,"file_date_updated":"2025-05-17T18:37:16Z","citation":{"ama":"Binder K, Steib N, Krauss S. Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive? Journal für Mathematik-Didaktik. 2022;44(2):471-503. doi:10.1007/s13138-022-00215-9","bibtex":"@article{Binder_Steib_Krauss_2022, title={Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive?}, volume={44}, DOI={10.1007/s13138-022-00215-9}, number={2}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Binder, Karin and Steib, Nicole and Krauss, Stefan}, year={2022}, pages={471–503} }","mla":"Binder, Karin, et al. “Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive?” Journal für Mathematik-Didaktik, vol. 44, no. 2, Springer Science and Business Media LLC, 2022, pp. 471–503, doi:10.1007/s13138-022-00215-9.","chicago":"Binder, Karin, Nicole Steib, and Stefan Krauss. “Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive?” Journal für Mathematik-Didaktik 44, no. 2 (2022): 471–503. https://doi.org/10.1007/s13138-022-00215-9.","short":"K. Binder, N. Steib, S. Krauss, Journal für Mathematik-Didaktik 44 (2022) 471–503.","apa":"Binder, K., Steib, N., & Krauss, S. (2022). Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive? Journal für Mathematik-Didaktik, 44(2), 471–503. https://doi.org/10.1007/s13138-022-00215-9","ieee":"K. Binder, N. Steib, and S. Krauss, “Von Baumdiagrammen über Doppelbäume zu Häufigkeitsnetzen – kognitive Überlastung oder didaktische Unterstützung? Moving from tree diagrams to double trees to net diagrams—cognitively overwhelming or educationally supportive?,” Journal für Mathematik-Didaktik, vol. 44, no. 2, pp. 471–503, 2022, doi: 10.1007/s13138-022-00215-9."}},{"author":[{"first_name":"Anna Viktoria Katrin","orcid":"0000-0002-9969-0608","last_name":"Plaksin","full_name":"Plaksin, Anna Viktoria Katrin","id":"102981"},{"full_name":"Lewis, D.","last_name":"Lewis","first_name":"D."},{"full_name":"Şahin, N.","last_name":"Şahin","first_name":"N."},{"id":"55565","first_name":"Axel","last_name":"Berndt","full_name":"Berndt, Axel"}],"status":"public","title":"Sharing MEI: Common Semantics in Diverse Musics?","year":"2022","date_updated":"2025-05-21T15:09:48Z","_id":"47327","language":[{"iso":"eng"}],"page":"157–161","user_id":"55565","citation":{"apa":"Plaksin, A. V. K., Lewis, D., Şahin, N., & Berndt, A. (2022). Sharing MEI: Common Semantics in Diverse Musics? {Music Encoding Conference}, 157–161.","mla":"Plaksin, Anna Viktoria Katrin, et al. “Sharing MEI: Common Semantics in Diverse Musics?” {Music Encoding Conference}, 2022, pp. 157–161.","ieee":"A. V. K. Plaksin, D. Lewis, N. Şahin, and A. Berndt, “Sharing MEI: Common Semantics in Diverse Musics?,” in {Music Encoding Conference}, 2022, pp. 157–161.","ama":"Plaksin AVK, Lewis D, Şahin N, Berndt A. Sharing MEI: Common Semantics in Diverse Musics? In: {Music Encoding Conference}. ; 2022:157–161.","short":"A.V.K. Plaksin, D. Lewis, N. Şahin, A. Berndt, in: {Music Encoding Conference}, Halifax, Canada, 2022, pp. 157–161.","chicago":"Plaksin, Anna Viktoria Katrin, D. Lewis, N. Şahin, and Axel Berndt. “Sharing MEI: Common Semantics in Diverse Musics?” In {Music Encoding Conference}, 157–161. Halifax, Canada, 2022.","bibtex":"@inproceedings{Plaksin_Lewis_Şahin_Berndt_2022, place={Halifax, Canada}, title={Sharing MEI: Common Semantics in Diverse Musics?}, booktitle={{Music Encoding Conference}}, author={Plaksin, Anna Viktoria Katrin and Lewis, D. and Şahin, N. and Berndt, Axel}, year={2022}, pages={157–161} }"},"publication":"{Music Encoding Conference}","date_created":"2023-09-25T10:44:08Z","place":"Halifax, Canada","type":"conference"},{"publication":"Journal of Advanced Joining Processes","citation":{"ieee":"G. Meschut et al., “Review on mechanical joining by plastic deformation,” Journal of Advanced Joining Processes, vol. 5, Art. no. 100113, 2022, doi: 10.1016/j.jajp.2022.100113.","apa":"Meschut, G., Merklein, M., Brosius, A., Drummer, D., Fratini, L., Füssel, U., Gude, M., Homberg, W., Martins, P. A. F., Bobbert, M., Lechner, M., Kupfer, R., Gröger, B., Han, D., Kalich, J., Kappe, F., Kleffel, T., Köhler, D., Kuball, C.-M., … Wolf, M. (2022). Review on mechanical joining by plastic deformation. Journal of Advanced Joining Processes, 5, Article 100113. https://doi.org/10.1016/j.jajp.2022.100113","short":"G. Meschut, M. Merklein, A. Brosius, D. Drummer, L. Fratini, U. Füssel, M. Gude, W. Homberg, P.A.F. Martins, M. Bobbert, M. Lechner, R. Kupfer, B. Gröger, D. Han, J. Kalich, F. Kappe, T. Kleffel, D. Köhler, C.-M. Kuball, J. Popp, D. Römisch, J. Troschitz, C. Wischer, S. Wituschek, M. Wolf, Journal of Advanced Joining Processes 5 (2022).","chicago":"Meschut, G., M. Merklein, A. Brosius, D. Drummer, L. Fratini, U. Füssel, M. Gude, et al. “Review on Mechanical Joining by Plastic Deformation.” Journal of Advanced Joining Processes 5 (2022). https://doi.org/10.1016/j.jajp.2022.100113.","mla":"Meschut, G., et al. “Review on Mechanical Joining by Plastic Deformation.” Journal of Advanced Joining Processes, vol. 5, 100113, Elsevier BV, 2022, doi:10.1016/j.jajp.2022.100113.","bibtex":"@article{Meschut_Merklein_Brosius_Drummer_Fratini_Füssel_Gude_Homberg_Martins_Bobbert_et al._2022, title={Review on mechanical joining by plastic deformation}, volume={5}, DOI={10.1016/j.jajp.2022.100113}, number={100113}, journal={Journal of Advanced Joining Processes}, publisher={Elsevier BV}, author={Meschut, G. and Merklein, M. and Brosius, A. and Drummer, D. and Fratini, L. and Füssel, U. and Gude, M. and Homberg, W. and Martins, P.A.F. and Bobbert, M. and et al.}, year={2022} }","ama":"Meschut G, Merklein M, Brosius A, et al. Review on mechanical joining by plastic deformation. Journal of Advanced Joining Processes. 2022;5. doi:10.1016/j.jajp.2022.100113"},"keyword":["Mechanical Engineering","Mechanics of Materials","Engineering (miscellaneous)","Chemical Engineering (miscellaneous)"],"type":"journal_article","date_created":"2024-02-06T15:03:43Z","date_updated":"2025-06-02T20:20:04Z","publication_status":"published","intvolume":" 5","title":"Review on mechanical joining by plastic deformation","status":"public","year":"2022","publication_identifier":{"issn":["2666-3309"]},"author":[{"full_name":"Meschut, G.","first_name":"G.","last_name":"Meschut"},{"last_name":"Merklein","first_name":"M.","full_name":"Merklein, M."},{"full_name":"Brosius, A.","last_name":"Brosius","first_name":"A."},{"last_name":"Drummer","first_name":"D.","full_name":"Drummer, D."},{"first_name":"L.","last_name":"Fratini","full_name":"Fratini, L."},{"full_name":"Füssel, U.","first_name":"U.","last_name":"Füssel"},{"full_name":"Gude, M.","last_name":"Gude","first_name":"M."},{"full_name":"Homberg, W.","first_name":"W.","last_name":"Homberg"},{"last_name":"Martins","first_name":"P.A.F.","full_name":"Martins, P.A.F."},{"first_name":"M.","last_name":"Bobbert","full_name":"Bobbert, M."},{"last_name":"Lechner","first_name":"M.","full_name":"Lechner, M."},{"full_name":"Kupfer, R.","first_name":"R.","last_name":"Kupfer"},{"last_name":"Gröger","first_name":"B.","full_name":"Gröger, B."},{"full_name":"Han, D.","last_name":"Han","first_name":"D."},{"first_name":"J.","last_name":"Kalich","full_name":"Kalich, J."},{"full_name":"Kappe, F.","first_name":"F.","last_name":"Kappe"},{"full_name":"Kleffel, T.","first_name":"T.","last_name":"Kleffel"},{"full_name":"Köhler, D.","last_name":"Köhler","first_name":"D."},{"last_name":"Kuball","first_name":"C.-M.","full_name":"Kuball, C.-M."},{"last_name":"Popp","first_name":"J.","full_name":"Popp, J."},{"first_name":"D.","last_name":"Römisch","full_name":"Römisch, D."},{"first_name":"J.","last_name":"Troschitz","full_name":"Troschitz, J."},{"first_name":"C.","last_name":"Wischer","full_name":"Wischer, C."},{"full_name":"Wituschek, S.","first_name":"S.","last_name":"Wituschek"},{"full_name":"Wolf, M.","first_name":"M.","last_name":"Wolf"}],"doi":"10.1016/j.jajp.2022.100113","user_id":"83408","volume":5,"article_number":"100113","_id":"51196","language":[{"iso":"eng"}],"publisher":"Elsevier BV"},{"date_updated":"2026-01-20T13:24:40Z","title":"Entwicklung einer Einspannvorrichtung für Axialrissproben zur Ermittlung von bruchmechanischen Kennwerten für Rohre","status":"public","year":"2022","author":[{"last_name":"Kullmer","first_name":"G.","full_name":"Kullmer, G."},{"first_name":"D.","last_name":"Weiss","full_name":"Weiss, D."},{"full_name":"Krome, S.","last_name":"Krome","first_name":"S."},{"last_name":"A. Richard","first_name":"H.","full_name":"A. Richard, H."}],"user_id":"57245","doi":"10.48447/BR-2022-011","publisher":"LibreCat University","_id":"63667","citation":{"ieee":"G. Kullmer, D. Weiss, S. Krome, and H. A. Richard, Entwicklung einer Einspannvorrichtung für Axialrissproben zur Ermittlung von bruchmechanischen Kennwerten für Rohre. LibreCat University, 2022.","mla":"Kullmer, G., et al. Entwicklung Einer Einspannvorrichtung Für Axialrissproben Zur Ermittlung von Bruchmechanischen Kennwerten Für Rohre. LibreCat University, 2022, doi:10.48447/BR-2022-011.","apa":"Kullmer, G., Weiss, D., Krome, S., & A. Richard, H. (2022). Entwicklung einer Einspannvorrichtung für Axialrissproben zur Ermittlung von bruchmechanischen Kennwerten für Rohre. LibreCat University. https://doi.org/10.48447/BR-2022-011","bibtex":"@book{Kullmer_Weiss_Krome_A. Richard_2022, title={Entwicklung einer Einspannvorrichtung für Axialrissproben zur Ermittlung von bruchmechanischen Kennwerten für Rohre}, DOI={10.48447/BR-2022-011}, publisher={LibreCat University}, author={Kullmer, G. and Weiss, D. and Krome, S. and A. Richard, H.}, year={2022} }","chicago":"Kullmer, G., D. Weiss, S. Krome, and H. A. Richard. Entwicklung Einer Einspannvorrichtung Für Axialrissproben Zur Ermittlung von Bruchmechanischen Kennwerten Für Rohre. LibreCat University, 2022. https://doi.org/10.48447/BR-2022-011.","ama":"Kullmer G, Weiss D, Krome S, A. Richard H. Entwicklung Einer Einspannvorrichtung Für Axialrissproben Zur Ermittlung von Bruchmechanischen Kennwerten Für Rohre. LibreCat University; 2022. doi:10.48447/BR-2022-011","short":"G. Kullmer, D. Weiss, S. Krome, H. A. Richard, Entwicklung Einer Einspannvorrichtung Für Axialrissproben Zur Ermittlung von Bruchmechanischen Kennwerten Für Rohre, LibreCat University, 2022."},"type":"research_data","date_created":"2026-01-20T13:23:23Z"},{"publication":"Batteries and Supercaps","citation":{"apa":"Sic, E., Melzi d’Eril, M., Schutjajew, K., Graczyk-Zajac, M. J., Breitzke, H., Riedel, R., Oschatz, M., Gutmann, T., & Buntkowsky, G. (2022). SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR. Batteries and Supercaps, 5, e202200066. https://doi.org/10.1002/batt.202200066","ieee":"E. Sic et al., “SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR,” Batteries and Supercaps, vol. 5, p. e202200066, 2022, doi: 10.1002/batt.202200066.","chicago":"Sic, Edina, Marco Melzi d’Eril, Konstantin Schutjajew, Magdalena J. Graczyk-Zajac, Hergen Breitzke, Ralf Riedel, Martin Oschatz, Torsten Gutmann, and Gerd Buntkowsky. “SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR.” Batteries and Supercaps 5 (2022): e202200066. https://doi.org/10.1002/batt.202200066.","short":"E. Sic, M. Melzi d’Eril, K. Schutjajew, M.J. Graczyk-Zajac, H. Breitzke, R. Riedel, M. Oschatz, T. Gutmann, G. Buntkowsky, Batteries and Supercaps 5 (2022) e202200066.","mla":"Sic, Edina, et al. “SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR.” Batteries and Supercaps, vol. 5, 2022, p. e202200066, doi:10.1002/batt.202200066.","ama":"Sic E, Melzi d’Eril M, Schutjajew K, et al. SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR. Batteries and Supercaps. 2022;5:e202200066. doi:10.1002/batt.202200066","bibtex":"@article{Sic_Melzi d’Eril_Schutjajew_Graczyk-Zajac_Breitzke_Riedel_Oschatz_Gutmann_Buntkowsky_2022, title={SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR}, volume={5}, DOI={10.1002/batt.202200066}, journal={Batteries and Supercaps}, author={Sic, Edina and Melzi d’Eril, Marco and Schutjajew, Konstantin and Graczyk-Zajac, Magdalena J. and Breitzke, Hergen and Riedel, Ralf and Oschatz, Martin and Gutmann, Torsten and Buntkowsky, Gerd}, year={2022}, pages={e202200066} }"},"abstract":[{"text":"Abstract Polymer-derived silicon carbonitride ceramic (SiCN) is used as an electrode material to prepare cylindrical sodium/sodium ion cells for solid-state NMR investigations. During galvanostatic cycling structural changes of the environment of sodium/sodium ions are investigated by applying 23Na in-situ solid-state NMR. Changes of the signals assigned to sodium metal, intercalated sodium cation and sodium cation originating from the electrolyte are monitored as well as the occurrence of an additional signal in the region of metallic sodium. The intensity of this additional signal changes periodically with the cycling process indicating the reversibility of structures formed and deformed during the galvanostatic cycling. To identify interactions of sodium/sodium ions with the SiCN electrode materials, the cycled SiCN material is studied by 23Na ex-situ MAS NMR at high spinning rates of 20 and 50 kHz to obtain appropriate spectral resolution.","lang":"eng"}],"extern":"1","date_created":"2026-02-07T16:10:25Z","type":"journal_article","year":"2022","title":"SiCN Ceramics as Electrode Materials for Sodium/Sodium Ion Cells Insights from 23Na In-Situ Solid-State NMR","status":"public","author":[{"first_name":"Edina","last_name":"Sic","full_name":"Sic, Edina"},{"first_name":"Marco","last_name":"Melzi d’Eril","full_name":"Melzi d’Eril, Marco"},{"first_name":"Konstantin","last_name":"Schutjajew","full_name":"Schutjajew, Konstantin"},{"full_name":"Graczyk-Zajac, Magdalena J.","first_name":"Magdalena J.","last_name":"Graczyk-Zajac"},{"full_name":"Breitzke, Hergen","first_name":"Hergen","last_name":"Breitzke"},{"full_name":"Riedel, Ralf","first_name":"Ralf","last_name":"Riedel"},{"last_name":"Oschatz","first_name":"Martin","full_name":"Oschatz, Martin"},{"id":"118165","full_name":"Gutmann, Torsten","first_name":"Torsten","last_name":"Gutmann"},{"full_name":"Buntkowsky, Gerd","last_name":"Buntkowsky","first_name":"Gerd"}],"date_updated":"2026-02-17T16:13:15Z","intvolume":" 5","page":"e202200066","language":[{"iso":"eng"}],"_id":"64042","doi":"10.1002/batt.202200066","user_id":"100715","volume":5},{"publication":"Journal of Chemical and Engineering Data","issue":"1","citation":{"bibtex":"@article{Hoffmann_Kealy_Gutmann_Buntkowsky_2022, title={Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols}, volume={67}, DOI={10.1021/acs.jced.1c00759}, number={1}, journal={Journal of Chemical and Engineering Data}, publisher={American Chemical Society}, author={Hoffmann, Markus M. and Kealy, Joseph D. and Gutmann, Torsten and Buntkowsky, Gerd}, year={2022}, pages={88–103} }","ama":"Hoffmann MM, Kealy JD, Gutmann T, Buntkowsky G. Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols. Journal of Chemical and Engineering Data. 2022;67(1):88–103. doi:10.1021/acs.jced.1c00759","mla":"Hoffmann, Markus M., et al. “Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols.” Journal of Chemical and Engineering Data, vol. 67, no. 1, American Chemical Society, 2022, pp. 88–103, doi:10.1021/acs.jced.1c00759.","chicago":"Hoffmann, Markus M., Joseph D. Kealy, Torsten Gutmann, and Gerd Buntkowsky. “Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols.” Journal of Chemical and Engineering Data 67, no. 1 (2022): 88–103. https://doi.org/10.1021/acs.jced.1c00759.","short":"M.M. Hoffmann, J.D. Kealy, T. Gutmann, G. Buntkowsky, Journal of Chemical and Engineering Data 67 (2022) 88–103.","ieee":"M. M. Hoffmann, J. D. Kealy, T. Gutmann, and G. Buntkowsky, “Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols,” Journal of Chemical and Engineering Data, vol. 67, no. 1, pp. 88–103, 2022, doi: 10.1021/acs.jced.1c00759.","apa":"Hoffmann, M. M., Kealy, J. D., Gutmann, T., & Buntkowsky, G. (2022). Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols. Journal of Chemical and Engineering Data, 67(1), 88–103. https://doi.org/10.1021/acs.jced.1c00759"},"abstract":[{"lang":"eng","text":"Polyethylene glycol (PEG) is increasingly used as an alternative green chemical solvent. New experimental measurements on density, viscosity, and self-diffusion coefficient are presented for PEG200, PEG400, and several binary mixtures of tri- and hexaethylene glycol covering a temperature range from 298.15 to 358.15 K. Because PEGs are polydisperse, the exact compositions of PEG200 from six different vendors are analytically determined and found to be comparable. Thus, only two of the most differing PEG200 samples are further examined. The effects of water as the most common impurity on densities, viscosities, and self-diffusion coefficients are inspected as well as the results of the “dry” samples obtained by extrapolation to zero water content. The obtained results are carefully compared to the available literature data. The temperature dependence of these physical properties is investigated and found to be linear for density, while viscosity and self-diffusion coefficients follow the Arrhenius law. Attempts to calculate the properties of the binary mixtures and PEG200 samples from the mole fraction weighted average of the physical properties of the mixture components result in reasonable agreement. Agreement between calculated and measured molar volumes is within measurement uncertainty. Agreement of calculated and measured viscosities is mostly within a few percent but increases with decreasing temperature (largest viscosities) reaching values of up to 15%. Similarly, calculated and measured self-diffusion coefficients mostly agree within 20%, which is near the measurement uncertainty, but overestimates increase to 30% for the highest temperatures (largest self-diffusion coefficients)."}],"extern":"1","date_created":"2026-02-07T15:44:52Z","type":"journal_article","title":"Densities, Viscosities, and Self-Diffusion Coefficients of Several Polyethylene Glycols","year":"2022","status":"public","author":[{"first_name":"Markus M.","last_name":"Hoffmann","full_name":"Hoffmann, Markus M."},{"last_name":"Kealy","first_name":"Joseph D.","full_name":"Kealy, Joseph D."},{"id":"118165","full_name":"Gutmann, Torsten","first_name":"Torsten","last_name":"Gutmann"},{"full_name":"Buntkowsky, Gerd","last_name":"Buntkowsky","first_name":"Gerd"}],"date_updated":"2026-02-17T16:16:54Z","intvolume":" 67","page":"88–103","_id":"63983","language":[{"iso":"eng"}],"publisher":"American Chemical Society","doi":"10.1021/acs.jced.1c00759","user_id":"100715","volume":67},{"abstract":[{"text":"The 3D shear deformation and failure behaviour of a glass fibre reinforced polypropylene in a shear strain rate range of γ˙=2.2×10−4 to 3.4 1s is investigated. An Iosipescu testing setup on a servo-hydraulic high speed testing unit is used to experimentally characterise the in-plane and out-of-plane behaviour utilising three specimen configurations (12-, 13- and 31-direction). The experimental procedure as well as the testing results are presented and discussed. The measured shear stress–shear strain relations indicate a highly nonlinear behaviour and a distinct rate dependency. Two methods are investigated to derive according material characteristics: a classical engineering approach based on moduli and strengths and a data driven approach based on the curve progression. In all cases a Johnson–Cook based formulation is used to describe rate dependency. The analysis methodologies as well as the derived model parameters are described and discussed in detail. It is shown that a phenomenologically enhanced regression can be used to obtain material characteristics for a generalising constitutive model based on the data driven approach.","lang":"eng"}],"publication":"Journal of Composites Science","issue":"10","type":"journal_article","date_created":"2026-02-02T08:41:00Z","intvolume":" 6","article_type":"original","date_updated":"2026-02-27T06:47:18Z","publication_status":"published","author":[{"full_name":"Gerritzen, Johannes","last_name":"Gerritzen","first_name":"Johannes","orcid":"0000-0002-0169-8602","id":"105344"},{"last_name":"Hornig","first_name":"Andreas","full_name":"Hornig, Andreas"},{"full_name":"Gröger, Benjamin","first_name":"Benjamin","last_name":"Gröger"},{"last_name":"Gude","first_name":"Maik","full_name":"Gude, Maik"}],"publication_identifier":{"issn":["2504-477X"]},"title":"A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters","year":"2022","doi":"10.3390/jcs6100318","language":[{"iso":"eng"}],"article_number":"318","project":[{"name":"TRR 285 - Subproject A03","_id":"137"},{"_id":"131","name":"TRR 285 - Project Area A"},{"name":"TRR 285: Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen Prozessketten","_id":"130"}],"citation":{"chicago":"Gerritzen, Johannes, Andreas Hornig, Benjamin Gröger, and Maik Gude. “A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters.” Journal of Composites Science 6, no. 10 (2022). https://doi.org/10.3390/jcs6100318.","short":"J. Gerritzen, A. Hornig, B. Gröger, M. Gude, Journal of Composites Science 6 (2022).","ama":"Gerritzen J, Hornig A, Gröger B, Gude M. A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters. Journal of Composites Science. 2022;6(10). doi:10.3390/jcs6100318","bibtex":"@article{Gerritzen_Hornig_Gröger_Gude_2022, title={A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters}, volume={6}, DOI={10.3390/jcs6100318}, number={10318}, journal={Journal of Composites Science}, publisher={MDPI AG}, author={Gerritzen, Johannes and Hornig, Andreas and Gröger, Benjamin and Gude, Maik}, year={2022} }","apa":"Gerritzen, J., Hornig, A., Gröger, B., & Gude, M. (2022). A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters. Journal of Composites Science, 6(10), Article 318. https://doi.org/10.3390/jcs6100318","mla":"Gerritzen, Johannes, et al. “A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters.” Journal of Composites Science, vol. 6, no. 10, 318, MDPI AG, 2022, doi:10.3390/jcs6100318.","ieee":"J. Gerritzen, A. Hornig, B. Gröger, and M. Gude, “A Data Driven Modelling Approach for the Strain Rate Dependent 3D Shear Deformation and Failure of Thermoplastic Fibre Reinforced Composites: Experimental Characterisation and Deriving Modelling Parameters,” Journal of Composites Science, vol. 6, no. 10, Art. no. 318, 2022, doi: 10.3390/jcs6100318."},"status":"public","volume":6,"user_id":"105344","_id":"63829","publisher":"MDPI AG"},{"extern":"1","citation":{"mla":"Katrin, König, and Bosse Katrin, editors. Christoph Schwöbel: Gott in Beziehung. Studien Zur Dogmatik. 2nd ed., Mohr Siebeck, 2022, doi:10.1628/978-3-16-156141-2.","bibtex":"@book{Katrin_Katrin_2022, place={Tübingen}, edition={2}, title={Christoph Schwöbel: Gott in Beziehung. Studien zur Dogmatik}, DOI={10.1628/978-3-16-156141-2}, publisher={Mohr Siebeck}, year={2022} }","ama":"Katrin K, Katrin B, eds. Christoph Schwöbel: Gott in Beziehung. Studien Zur Dogmatik. 2nd ed. Mohr Siebeck; 2022. doi:10.1628/978-3-16-156141-2","ieee":"K. Katrin and B. Katrin, Eds., Christoph Schwöbel: Gott in Beziehung. Studien zur Dogmatik, 2nd ed. Tübingen: Mohr Siebeck, 2022.","apa":"Katrin, K., & Katrin, B. (Eds.). (2022). Christoph Schwöbel: Gott in Beziehung. Studien zur Dogmatik (2nd ed.). Mohr Siebeck. https://doi.org/10.1628/978-3-16-156141-2","chicago":"Katrin, König, and Bosse Katrin, eds. Christoph Schwöbel: Gott in Beziehung. Studien Zur Dogmatik. 2nd ed. Tübingen: Mohr Siebeck, 2022. https://doi.org/10.1628/978-3-16-156141-2.","short":"K. Katrin, B. Katrin, eds., Christoph Schwöbel: Gott in Beziehung. Studien Zur Dogmatik, 2nd ed., Mohr Siebeck, Tübingen, 2022."},"department":[{"_id":"20"}],"type":"book_editor","date_created":"2025-10-02T07:19:37Z","place":"Tübingen","date_updated":"2025-10-02T09:52:34Z","status":"public","title":"Christoph Schwöbel: Gott in Beziehung. Studien zur Dogmatik","year":"2022","editor":[{"first_name":"König","last_name":"Katrin","full_name":"Katrin, König"},{"full_name":"Katrin, Bosse","last_name":"Katrin","first_name":"Bosse"}],"user_id":"118819","doi":"10.1628/978-3-16-156141-2","language":[{"iso":"eng"}],"_id":"61495","edition":"2","publisher":"Mohr Siebeck"},{"article_number":"179","main_file_link":[{"url":"https://www.nature.com/articles/s41467-021-27788-2","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1038/s41467-021-27788-2","year":"2022","title":"3D atomic-scale imaging of mixed Co-Fe spinel oxide nanoparticles during oxygen evolution reaction","publication_identifier":{"issn":["2041-1723"]},"author":[{"last_name":"Xiang","first_name":"Weikai","full_name":"Xiang, Weikai"},{"last_name":"Yang","first_name":"Nating","full_name":"Yang, Nating"},{"first_name":"Xiaopeng","last_name":"Li","full_name":"Li, Xiaopeng"},{"id":"116779","full_name":"Linnemann, Julia","last_name":"Linnemann","orcid":"0000-0001-6883-5424","first_name":"Julia"},{"full_name":"Hagemann, Ulrich","last_name":"Hagemann","first_name":"Ulrich"},{"full_name":"Ruediger, Olaf","last_name":"Ruediger","first_name":"Olaf"},{"first_name":"Markus","last_name":"Heidelmann","full_name":"Heidelmann, Markus"},{"last_name":"Falk","first_name":"Tobias","full_name":"Falk, Tobias"},{"first_name":"Matteo","last_name":"Aramini","full_name":"Aramini, Matteo"},{"last_name":"DeBeer","first_name":"Serena","full_name":"DeBeer, Serena"},{"last_name":"Muhler","first_name":"Martin","full_name":"Muhler, Martin"},{"full_name":"Tschulik, Kristina","first_name":"Kristina","last_name":"Tschulik"},{"first_name":"Tong","last_name":"Li","full_name":"Li, Tong"}],"publication_status":"published","date_updated":"2025-12-03T16:30:12Z","article_type":"original","intvolume":" 13","date_created":"2025-12-03T15:22:16Z","keyword":["electrocatalysis","oxygen evolution reaction","cobalt spinel","electrochemical impedance spectroscopy"],"type":"journal_article","department":[{"_id":"985"}],"publication":"Nature Communications","issue":"1","extern":"1","abstract":[{"lang":"eng","text":"The three-dimensional (3D) distribution of individual atoms on the surface of catalyst nanoparticles plays a vital role in their activity and stability. Optimising the performance of electrocatalysts requires atomic-scale information, but it is difficult to obtain. Here, we use atom probe tomography to elucidate the 3D structure of 10 nm sized Co2FeO4 and CoFe2O4 nanoparticles during oxygen evolution reaction (OER). We reveal nanoscale spinodal decomposition in pristine Co2FeO4. The interfaces of Co-rich and Fe-rich nanodomains of Co2FeO4 become trapping sites for hydroxyl groups, contributing to a higher OER activity compared to that of CoFe2O4. However, the activity of Co2FeO4 drops considerably due to concurrent irreversible transformation towards CoIVO2 and pronounced Fe dissolution. In contrast, there is negligible elemental redistribution for CoFe2O4 after OER, except for surface structural transformation towards (FeIII, CoIII)2O3. Overall, our study provides a unique 3D compositional distribution of mixed Co-Fe spinel oxides, which gives atomic-scale insights into active sites and the deactivation of electrocatalysts during OER."}],"_id":"62801","publisher":"Springer Science and Business Media LLC","user_id":"116779","volume":13,"status":"public","oa":"1","citation":{"ieee":"W. Xiang et al., “3D atomic-scale imaging of mixed Co-Fe spinel oxide nanoparticles during oxygen evolution reaction,” Nature Communications, vol. 13, no. 1, Art. no. 179, 2022, doi: 10.1038/s41467-021-27788-2.","apa":"Xiang, W., Yang, N., Li, X., Linnemann, J., Hagemann, U., Ruediger, O., Heidelmann, M., Falk, T., Aramini, M., DeBeer, S., Muhler, M., Tschulik, K., & Li, T. (2022). 3D atomic-scale imaging of mixed Co-Fe spinel oxide nanoparticles during oxygen evolution reaction. Nature Communications, 13(1), Article 179. https://doi.org/10.1038/s41467-021-27788-2","chicago":"Xiang, Weikai, Nating Yang, Xiaopeng Li, Julia Linnemann, Ulrich Hagemann, Olaf Ruediger, Markus Heidelmann, et al. “3D Atomic-Scale Imaging of Mixed Co-Fe Spinel Oxide Nanoparticles during Oxygen Evolution Reaction.” Nature Communications 13, no. 1 (2022). https://doi.org/10.1038/s41467-021-27788-2.","short":"W. Xiang, N. Yang, X. Li, J. Linnemann, U. Hagemann, O. Ruediger, M. Heidelmann, T. Falk, M. Aramini, S. DeBeer, M. Muhler, K. Tschulik, T. Li, Nature Communications 13 (2022).","mla":"Xiang, Weikai, et al. “3D Atomic-Scale Imaging of Mixed Co-Fe Spinel Oxide Nanoparticles during Oxygen Evolution Reaction.” Nature Communications, vol. 13, no. 1, 179, Springer Science and Business Media LLC, 2022, doi:10.1038/s41467-021-27788-2.","bibtex":"@article{Xiang_Yang_Li_Linnemann_Hagemann_Ruediger_Heidelmann_Falk_Aramini_DeBeer_et al._2022, title={3D atomic-scale imaging of mixed Co-Fe spinel oxide nanoparticles during oxygen evolution reaction}, volume={13}, DOI={10.1038/s41467-021-27788-2}, number={1179}, journal={Nature Communications}, publisher={Springer Science and Business Media LLC}, author={Xiang, Weikai and Yang, Nating and Li, Xiaopeng and Linnemann, Julia and Hagemann, Ulrich and Ruediger, Olaf and Heidelmann, Markus and Falk, Tobias and Aramini, Matteo and DeBeer, Serena and et al.}, year={2022} }","ama":"Xiang W, Yang N, Li X, et al. 3D atomic-scale imaging of mixed Co-Fe spinel oxide nanoparticles during oxygen evolution reaction. Nature Communications. 2022;13(1). doi:10.1038/s41467-021-27788-2"},"quality_controlled":"1"},{"author":[{"full_name":"Sartison, M","first_name":"M","last_name":"Sartison"},{"full_name":" Camacho Ibarra, O","last_name":" Camacho Ibarra","first_name":"O"},{"id":"85353","full_name":"Jöns, Klaus D.","first_name":"Klaus D.","last_name":"Jöns"},{"first_name":"I","last_name":"Caltzidis","full_name":"Caltzidis, I"},{"id":"37763","full_name":"Reuter, Dirk","first_name":"Dirk","last_name":"Reuter"}],"title":"Scalable integration of quantum emitters into photonic integrated circuits","year":"2022","status":"public","intvolume":" 2","date_updated":"2025-12-11T13:09:55Z","publication_status":"published","_id":"41800","language":[{"iso":"ger"}],"series_title":"Materials for Quantum Technology","volume":2,"doi":"https://doi.org/10.1088/2633-4356/ac6f3e","user_id":"48188","citation":{"bibtex":"@article{Sartison_ Camacho Ibarra_Jöns_Caltzidis_Reuter_2022, series={Materials for Quantum Technology}, title={Scalable integration of quantum emitters into photonic integrated circuits}, volume={2}, DOI={https://doi.org/10.1088/2633-4356/ac6f3e}, author={Sartison, M and Camacho Ibarra, O and Jöns, Klaus D. and Caltzidis, I and Reuter, Dirk}, year={2022}, collection={Materials for Quantum Technology} }","chicago":"Sartison, M, O Camacho Ibarra, Klaus D. Jöns, I Caltzidis, and Dirk Reuter. “Scalable integration of quantum emitters into photonic integrated circuits.” Materials for Quantum Technology, 2022. https://doi.org/10.1088/2633-4356/ac6f3e.","short":"M. Sartison, O. Camacho Ibarra, K.D. Jöns, I. Caltzidis, D. Reuter, 2 (2022).","ama":"Sartison M, Camacho Ibarra O, Jöns KD, Caltzidis I, Reuter D. Scalable integration of quantum emitters into photonic integrated circuits. 2022;2. doi:https://doi.org/10.1088/2633-4356/ac6f3e","ieee":"M. Sartison, O. Camacho Ibarra, K. D. Jöns, I. Caltzidis, and D. Reuter, “Scalable integration of quantum emitters into photonic integrated circuits,” vol. 2. 2022, doi: https://doi.org/10.1088/2633-4356/ac6f3e.","apa":"Sartison, M., Camacho Ibarra, O., Jöns, K. D., Caltzidis, I., & Reuter, D. (2022). Scalable integration of quantum emitters into photonic integrated circuits (Vol. 2). https://doi.org/10.1088/2633-4356/ac6f3e","mla":"Sartison, M., et al. Scalable integration of quantum emitters into photonic integrated circuits. 2022, doi:https://doi.org/10.1088/2633-4356/ac6f3e."},"date_created":"2023-02-06T02:30:08Z","department":[{"_id":"623"},{"_id":"15"},{"_id":"429"},{"_id":"642"}],"type":"conference"},{"editor":[{"id":"94540","first_name":"Kristina","last_name":"Jonas","orcid":"0000-0002-1067-9139","full_name":"Jonas, Kristina"},{"last_name":"Quinting","first_name":"Jana","full_name":"Quinting, Jana"},{"first_name":"Lisa","last_name":"Gerhards","full_name":"Gerhards, Lisa"},{"full_name":"Hüsgen, Anne","first_name":"Anne","last_name":"Hüsgen"},{"first_name":"Ilona","last_name":"Rubi-Fessen","full_name":"Rubi-Fessen, Ilona"},{"first_name":"Prisca","last_name":"Stenneken","full_name":"Stenneken, Prisca"},{"last_name":"Rosenkranz","first_name":"Anna","full_name":"Rosenkranz, Anna"}],"alternative_title":["Themenheft zur 20. Jahrestagung der Gesellschaft für Aphasieforschung und –behandlung. Neurologie & Rehabilitation. "],"user_id":"94540","_id":"55135","language":[{"iso":"eng"}],"date_updated":"2025-12-17T07:34:41Z","status":"public","title":"Kommunikation – Sprache, Emotion, Kognition","year":"2022","department":[{"_id":"5"},{"_id":"890"}],"type":"conference_editor","date_created":"2024-07-08T11:24:56Z","extern":"1","citation":{"ieee":"K. Jonas et al., Eds., Kommunikation – Sprache, Emotion, Kognition. 2022.","apa":"Jonas, K., Quinting, J., Gerhards, L., Hüsgen, A., Rubi-Fessen, I., Stenneken, P., & Rosenkranz, A. (Eds.). (2022). Kommunikation – Sprache, Emotion, Kognition.","short":"K. Jonas, J. Quinting, L. Gerhards, A. Hüsgen, I. Rubi-Fessen, P. Stenneken, A. Rosenkranz, eds., Kommunikation – Sprache, Emotion, Kognition, 2022.","chicago":"Jonas, Kristina, Jana Quinting, Lisa Gerhards, Anne Hüsgen, Ilona Rubi-Fessen, Prisca Stenneken, and Anna Rosenkranz, eds. Kommunikation – Sprache, Emotion, Kognition, 2022.","mla":"Jonas, Kristina, et al., editors. Kommunikation – Sprache, Emotion, Kognition. 2022.","bibtex":"@book{Jonas_Quinting_Gerhards_Hüsgen_Rubi-Fessen_Stenneken_Rosenkranz_2022, title={Kommunikation – Sprache, Emotion, Kognition}, year={2022} }","ama":"Jonas K, Quinting J, Gerhards L, et al., eds. Kommunikation – Sprache, Emotion, Kognition.; 2022."}},{"doi":"10.1515/ans-2022-0004","language":[{"iso":"eng"}],"intvolume":" 22","date_updated":"2025-12-18T20:05:30Z","publication_status":"published","publication_identifier":{"issn":["2169-0375"]},"author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"title":"Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings","year":"2022","type":"journal_article","date_created":"2025-12-18T19:29:40Z","abstract":[{"lang":"eng","text":"AbstractThe chemotaxis–Stokes systemnt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\\left\\{\\begin{array}{l}{n}_{t}+u\\cdot \\nabla n=\\nabla \\cdot (D\\left(n)\\nabla n)-\\nabla \\cdot (nS\\left(x,n,c)\\cdot \\nabla c),\\\\ {c}_{t}+u\\cdot \\nabla c=\\Delta c-nc,\\\\ {u}_{t}=\\Delta u+\\nabla P+n\\nabla \\Phi ,\\hspace{1.0em}\\nabla \\cdot u=0,\\end{array}\\right.is considered in a smoothly bounded convex domainΩ⊂R3\\Omega \\subset {{\\mathbb{R}}}^{3}, with given suitably regular functionsD:[0,∞)→[0,∞)D:{[}0,\\infty )\\to {[}0,\\infty ),S:Ω¯×[0,∞)×(0,∞)→R3×3S:\\overline{\\Omega }\\times {[}0,\\infty )\\times \\left(0,\\infty )\\to {{\\mathbb{R}}}^{3\\times 3}andΦ:Ω¯→R\\Phi :\\overline{\\Omega }\\to {\\mathbb{R}}such thatD>0D\\gt 0on(0,∞)\\left(0,\\infty ). It is shown that if with some nondecreasingS0:(0,∞)→(0,∞){S}_{0}:\\left(0,\\infty )\\to \\left(0,\\infty )we have∣S(x,n,c)∣≤S0(c)c12for all(x,n,c)∈Ω¯×[0,∞)×(0,∞),| S\\left(x,n,c)| \\le \\frac{{S}_{0}\\left(c)}{{c}^{\\tfrac{1}{2}}}\\hspace{1.0em}\\hspace{0.1em}\\text{for all}\\hspace{0.1em}\\hspace{0.33em}\\left(x,n,c)\\in \\overline{\\Omega }\\times {[}0,\\infty )\\times \\left(0,\\infty ),then for allM>0M\\gt 0there existsL(M)>0L\\left(M)\\gt 0such that wheneverliminfn→∞D(n)>L(M)andliminfn↘0D(n)n>0,\\mathop{\\mathrm{liminf}}\\limits_{n\\to \\infty }D\\left(n)\\gt L\\left(M)\\hspace{1.0em}\\hspace{0.1em}\\text{and}\\hspace{0.1em}\\hspace{1.0em}\\mathop{\\mathrm{liminf}}\\limits_{n\\searrow 0}\\frac{D\\left(n)}{n}\\gt 0,for all sufficiently regular initial data(n0,c0,u0)\\left({n}_{0},{c}_{0},{u}_{0})fulfilling‖c0‖L∞(Ω)≤M\\Vert {c}_{0}{\\Vert }_{{L}^{\\infty }\\left(\\Omega )}\\le Man associated no-flux/no-flux/Dirichlet initial-boundary value problem admits a global bounded weak solution, classical if additionallyD(0)>0D\\left(0)\\gt 0. When combined with previously known results, this particularly implies global existence of bounded solutions whenD(n)=nm−1D\\left(n)={n}^{m-1},n≥0n\\ge 0, with arbitrarym>1m\\gt 1, but beyond this asserts global boundedness also in the presence of diffusivities which exhibit arbitrarily slow divergence to+∞+\\inftyat large densities and of possibly singular chemotactic sensitivities."}],"publication":"Advanced Nonlinear Studies","issue":"1","volume":22,"user_id":"31496","publisher":"Walter de Gruyter GmbH","_id":"63310","page":"88-117","status":"public","citation":{"bibtex":"@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings}, volume={22}, DOI={10.1515/ans-2022-0004}, number={1}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2022}, pages={88–117} }","chicago":"Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22, no. 1 (2022): 88–117. https://doi.org/10.1515/ans-2022-0004.","short":"M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.","ama":"Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22(1):88-117. doi:10.1515/ans-2022-0004","ieee":"M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings,” Advanced Nonlinear Studies, vol. 22, no. 1, pp. 88–117, 2022, doi: 10.1515/ans-2022-0004.","apa":"Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22(1), 88–117. https://doi.org/10.1515/ans-2022-0004","mla":"Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies, vol. 22, no. 1, Walter de Gruyter GmbH, 2022, pp. 88–117, doi:10.1515/ans-2022-0004."}},{"citation":{"ama":"Winkler M. Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B. 2022;27(11). doi:10.3934/dcdsb.2022009","bibtex":"@article{Winkler_2022, title={Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities}, volume={27}, DOI={10.3934/dcdsb.2022009}, number={116565}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Approaching Logarithmic Singularities in Quasilinear Chemotaxis-Consumption Systems with Signal-Dependent Sensitivities.” Discrete and Continuous Dynamical Systems - B, vol. 27, no. 11, 6565, American Institute of Mathematical Sciences (AIMS), 2022, doi:10.3934/dcdsb.2022009.","short":"M. Winkler, Discrete and Continuous Dynamical Systems - B 27 (2022).","chicago":"Winkler, Michael. “Approaching Logarithmic Singularities in Quasilinear Chemotaxis-Consumption Systems with Signal-Dependent Sensitivities.” Discrete and Continuous Dynamical Systems - B 27, no. 11 (2022). https://doi.org/10.3934/dcdsb.2022009.","apa":"Winkler, M. (2022). Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B, 27(11), Article 6565. https://doi.org/10.3934/dcdsb.2022009","ieee":"M. Winkler, “Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities,” Discrete and Continuous Dynamical Systems - B, vol. 27, no. 11, Art. no. 6565, 2022, doi: 10.3934/dcdsb.2022009."},"volume":27,"user_id":"31496","publisher":"American Institute of Mathematical Sciences (AIMS)","_id":"63312","status":"public","type":"journal_article","date_created":"2025-12-18T19:30:32Z","abstract":[{"text":"<p style='text-indent:20px;'>The chemotaxis system</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=\"FE1\"> \\begin{document}$ \\begin{array}{l}\\left\\{ \\begin{array}{l} \tu_t = \\nabla \\cdot \\big( D(u) \\nabla u \\big) - \\nabla \\cdot \\big( uS(x, u, v)\\cdot \\nabla v\\big), \\\\ \tv_t = \\Delta v -uv, \\end{array} \\right. \\end{array} $\\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>is considered in a bounded domain <inline-formula><tex-math id=\"M1\">\\begin{document}$ \\Omega\\subset \\mathbb{R}^n $\\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=\"M2\">\\begin{document}$ n\\ge 2 $\\end{document}</tex-math></inline-formula>, with smooth boundary.</p><p style='text-indent:20px;'>It is shown that if <inline-formula><tex-math id=\"M3\">\\begin{document}$ D: [0, \\infty) \\to [0, \\infty) $\\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id=\"M4\">\\begin{document}$ S: \\overline{\\Omega}\\times [0, \\infty)\\times (0, \\infty)\\to \\mathbb{R}^{n\\times n} $\\end{document}</tex-math></inline-formula> are suitably smooth functions satisfying</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=\"FE2\"> \\begin{document}$ \\begin{array}{l}D(u) \\ge k_D u^{m-1} \t\\qquad {\\rm{for\\; all}}\\; u\\ge 0 \\end{array} $\\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>and</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=\"FE3\"> \\begin{document}$ \\begin{array}{l}|S(x, u, v)| \\le \\frac{S_0(v)}{v^\\alpha} \\qquad {\\rm{for\\; all}}\\; (x, u, v)\\; \\in \\Omega\\times (0, \\infty)^2 \\end{array} $\\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>with some</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=\"FE4\"> \\begin{document}$ \\begin{array}{l}m&gt;\\frac{3n-2}{2n} \t\\qquad {\\rm{and}}\\;\\alpha\\in [0, 1), \\end{array} $\\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>and with some <inline-formula><tex-math id=\"M5\">\\begin{document}$ k_D&gt;0 $\\end{document}</tex-math></inline-formula> and nondecreasing <inline-formula><tex-math id=\"M6\">\\begin{document}$ S_0: (0, \\infty)\\to (0, \\infty) $\\end{document}</tex-math></inline-formula>, then for all suitably regular initial data a corresponding no-flux type initial-boundary value problem admits a global bounded weak solution which actually is smooth and classical if <inline-formula><tex-math id=\"M7\">\\begin{document}$ D(0)&gt;0 $\\end{document}</tex-math></inline-formula>.</p>","lang":"eng"}],"issue":"11","publication":"Discrete and Continuous Dynamical Systems - B","doi":"10.3934/dcdsb.2022009","language":[{"iso":"eng"}],"article_number":"6565","intvolume":" 27","date_updated":"2025-12-18T20:05:47Z","publication_status":"published","author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["1531-3492","1553-524X"]},"year":"2022","title":"Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities"},{"issue":"2","publication":"Journal of Dynamics and Differential Equations","abstract":[{"text":"AbstractIn a ball $$\\Omega =B_R(0)\\subset \\mathbb {R}^n$$\r\n \r\n Ω\r\n =\r\n \r\n B\r\n R\r\n \r\n \r\n (\r\n 0\r\n )\r\n \r\n ⊂\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n \r\n , $$n\\ge 2$$\r\n \r\n n\r\n ≥\r\n 2\r\n \r\n , the chemotaxis system $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big ) - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u, \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$\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 ∇\r\n ·\r\n \r\n (\r\n \r\n D\r\n \r\n (\r\n u\r\n )\r\n \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 u\r\n S\r\n \r\n (\r\n u\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 \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n -\r\n μ\r\n +\r\n u\r\n ,\r\n \r\n μ\r\n =\r\n \r\n 1\r\n \r\n |\r\n Ω\r\n |\r\n \r\n \r\n \r\n ∫\r\n Ω\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 is considered under no-flux boundary conditions, with a focus on nonlinearities $$S\\in C^2([0,\\infty ))$$\r\n \r\n S\r\n ∈\r\n \r\n C\r\n 2\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 \r\n which exhibit super-algebraically fast decay in the sense that with some $$K_S>0, \\beta \\in [0,1)$$\r\n \r\n \r\n K\r\n S\r\n \r\n >\r\n 0\r\n ,\r\n β\r\n ∈\r\n \r\n [\r\n 0\r\n ,\r\n 1\r\n )\r\n \r\n \r\n and $$\\xi _0>0$$\r\n \r\n \r\n ξ\r\n 0\r\n \r\n >\r\n 0\r\n \r\n , $$\\begin{aligned} S(\\xi )>0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n S\r\n \r\n (\r\n ξ\r\n )\r\n \r\n >\r\n 0\r\n \r\n \r\n and\r\n \r\n \r\n \r\n S\r\n ′\r\n \r\n \r\n (\r\n ξ\r\n )\r\n \r\n ≤\r\n -\r\n \r\n K\r\n S\r\n \r\n \r\n ξ\r\n \r\n -\r\n β\r\n \r\n \r\n S\r\n \r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n ξ\r\n ≥\r\n \r\n ξ\r\n 0\r\n \r\n .\r\n \r\n \r\n \r\n \r\n \r\n It is, inter alia, shown that if furthermore $$D\\in C^2((0,\\infty ))$$\r\n \r\n D\r\n ∈\r\n \r\n C\r\n 2\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 \r\n is positive and suitably small in relation to S by satisfying $$\\begin{aligned} \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ξ\r\n S\r\n (\r\n ξ\r\n )\r\n \r\n \r\n D\r\n (\r\n ξ\r\n )\r\n \r\n \r\n ≥\r\n \r\n K\r\n \r\n SD\r\n \r\n \r\n \r\n ξ\r\n λ\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n ξ\r\n ≥\r\n \r\n ξ\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n with some $$K_{SD}>0$$\r\n \r\n \r\n K\r\n \r\n SD\r\n \r\n \r\n >\r\n 0\r\n \r\n and $$\\lambda >\\frac{2}{n}$$\r\n \r\n λ\r\n >\r\n \r\n 2\r\n n\r\n \r\n \r\n , then throughout a considerably large set of initial data, ($$\\star $$\r\n ⋆\r\n ) admits global classical solutions (u, v) fulfilling $$\\begin{aligned} \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t) \\qquad \\text{ for } \\text{ all } t>0, \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n (\r\n t\r\n )\r\n \r\n C\r\n \r\n ≤\r\n \r\n \r\n ‖\r\n u\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 L\r\n ∞\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n ≤\r\n C\r\n z\r\n \r\n (\r\n t\r\n )\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n with some $$C=C^{(u,v)}\\ge 1$$\r\n \r\n C\r\n =\r\n \r\n C\r\n \r\n (\r\n u\r\n ,\r\n v\r\n )\r\n \r\n \r\n ≥\r\n 1\r\n \r\n , where z denotes the solution of $$\\begin{aligned} \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad t>0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n ′\r\n \r\n \r\n (\r\n t\r\n )\r\n \r\n =\r\n \r\n z\r\n 2\r\n \r\n \r\n (\r\n t\r\n )\r\n \r\n ·\r\n S\r\n \r\n (\r\n \r\n z\r\n \r\n (\r\n t\r\n )\r\n \r\n \r\n )\r\n \r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n z\r\n \r\n (\r\n 0\r\n )\r\n \r\n =\r\n \r\n ξ\r\n 0\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 which is seen to exist globally, and to satisfy $$z(t)\\rightarrow +\\infty $$\r\n \r\n z\r\n (\r\n t\r\n )\r\n →\r\n +\r\n ∞\r\n \r\n as $$t\\rightarrow \\infty $$\r\n \r\n t\r\n →\r\n ∞\r\n \r\n . As particular examples, exponentially and doubly exponentially decaying S are found to imply corresponding infinite-time blow-up properties in ($$\\star $$\r\n ⋆\r\n ) at logarithmic and doubly logarithmic rates, respectively.","lang":"eng"}],"date_created":"2025-12-18T19:10:32Z","type":"journal_article","publication_identifier":{"issn":["1040-7294","1572-9222"]},"author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"year":"2022","title":"Slow Grow-up in a Quasilinear Keller–Segel System","intvolume":" 36","publication_status":"published","date_updated":"2025-12-18T20:10:14Z","language":[{"iso":"eng"}],"doi":"10.1007/s10884-022-10167-w","citation":{"mla":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations, vol. 36, no. 2, Springer Science and Business Media LLC, 2022, pp. 1677–702, doi:10.1007/s10884-022-10167-w.","ama":"Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. 2022;36(2):1677-1702. doi:10.1007/s10884-022-10167-w","bibtex":"@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, volume={36}, DOI={10.1007/s10884-022-10167-w}, number={2}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022}, pages={1677–1702} }","apa":"Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations, 36(2), 1677–1702. https://doi.org/10.1007/s10884-022-10167-w","ieee":"M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” Journal of Dynamics and Differential Equations, vol. 36, no. 2, pp. 1677–1702, 2022, doi: 10.1007/s10884-022-10167-w.","short":"M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.","chicago":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations 36, no. 2 (2022): 1677–1702. https://doi.org/10.1007/s10884-022-10167-w."},"status":"public","_id":"63266","publisher":"Springer Science and Business Media LLC","page":"1677-1702","volume":36,"user_id":"31496"},{"status":"public","user_id":"31496","volume":2023,"page":"16336-16393","_id":"63278","publisher":"Oxford University Press (OUP)","citation":{"mla":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” International Mathematics Research Notices, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:10.1093/imrn/rnac286.","apa":"Winkler, M. (2022). A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. International Mathematics Research Notices, 2023(19), 16336–16393. https://doi.org/10.1093/imrn/rnac286","ieee":"M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System,” International Mathematics Research Notices, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: 10.1093/imrn/rnac286.","ama":"Winkler M. A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. International Mathematics Research Notices. 2022;2023(19):16336-16393. doi:10.1093/imrn/rnac286","short":"M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.","chicago":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” International Mathematics Research Notices 2023, no. 19 (2022): 16336–93. https://doi.org/10.1093/imrn/rnac286.","bibtex":"@article{Winkler_2022, title={A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}, volume={2023}, DOI={10.1093/imrn/rnac286}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }"},"publication_status":"published","date_updated":"2025-12-18T20:11:43Z","intvolume":" 2023","title":"A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System","year":"2022","publication_identifier":{"issn":["1073-7928","1687-0247"]},"author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"doi":"10.1093/imrn/rnac286","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Abstract\r\n The Neumann problem for (0.1)$$ \\begin{align}& V_t = \\Delta V-aV+f(x,t) \\end{align}$$is considered in bounded domains $\\Omega \\subset {\\mathbb {R}}^n$ with smooth boundary, where $n\\ge 1$ and $a\\in {\\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \\begin{eqnarray*} \\sup_{t\\in (0,T)} \\int_\\Omega \\big|\\nabla V(\\cdot,t)\\big|^p L^{\\frac{n+p}{n+2}} \\Big( \\big|\\nabla V(\\cdot,t)\\big| \\Big) \\end{eqnarray*}$$in dependence on the expressions (0.2)$$ \\begin{align}& \\sup_{t\\in (0,T-\\tau)} \\int_t^{t+\\tau} \\int_\\Omega |f|^{\\frac{(n+2)p}{n+p}} L\\big( |f|\\big) \\end{align}$$is derived for $p\\ge 2$, $\\tau&gt;0$, and $T\\ge 2\\tau $, provided that $L\\in C^0([0,\\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\\limsup _{s\\to \\infty } \\frac {L(s^{\\lambda _0})}{L(s)} &lt;\\infty $ for some $\\lambda _0&gt;1$. In the particular case when $p=n\\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\\xi ):=\\ln ^\\alpha (\\xi +b)$ whenever $b&gt;0$ and $\\alpha&gt;\\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \\begin{eqnarray*} \\left\\{ \\begin{array}{l} u_t = \\nabla \\cdot \\big( D(v)\\nabla u\\big) - \\nabla \\cdot \\big( uS(v)\\nabla v\\big) + ru - \\mu u^2, \\\\[1mm] v_t = \\Delta v-v+u, \\end{array} \\right. \\end{eqnarray*}$$shows that when $n=2$, $r\\in {\\mathbb {R}}$, $0&lt;D\\in C^2([0,\\infty ))$, and $S\\in C^2([0,\\infty )) \\cap W^{1,\\infty }((0,\\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\\mu&gt;0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution."}],"issue":"19","publication":"International Mathematics Research Notices","type":"journal_article","date_created":"2025-12-18T19:15:52Z"},{"publisher":"Cambridge University Press (CUP)","_id":"63274","page":"1150-1166","volume":153,"user_id":"31496","status":"public","citation":{"ama":"Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022;153(4):1150-1166. doi:10.1017/prm.2022.39","short":"Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.","chicago":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153, no. 4 (2022): 1150–66. https://doi.org/10.1017/prm.2022.39.","bibtex":"@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={10.1017/prm.2022.39}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }","apa":"Wang, Y., & Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(4), 1150–1166. https://doi.org/10.1017/prm.2022.39","mla":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:10.1017/prm.2022.39.","ieee":"Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 153, no. 4, pp. 1150–1166, 2022, doi: 10.1017/prm.2022.39."},"language":[{"iso":"eng"}],"doi":"10.1017/prm.2022.39","author":[{"first_name":"Yulan","last_name":"Wang","full_name":"Wang, Yulan"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0308-2105","1473-7124"]},"year":"2022","title":"Finite-time blow-up in a repulsive chemotaxis-consumption system","intvolume":" 153","date_updated":"2025-12-18T20:11:15Z","publication_status":"published","date_created":"2025-12-18T19:14:20Z","type":"journal_article","issue":"4","publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","abstract":[{"text":"In a ball $\\Omega \\subset \\mathbb {R}^{n}$ with $n\\ge 2$, the chemotaxis system\r\n\\[ \\left\\{ \\begin{array}{@{}l} u_t = \\nabla \\cdot \\big( D(u)\\nabla u\\big) + \\nabla\\cdot \\big(\\dfrac{u}{v} \\nabla v\\big), \\\\ 0=\\Delta v - uv \\end{array} \\right. \\]is considered along with no-flux boundary conditions for $u$ and with prescribed constant positive Dirichlet boundary data for $v$. It is shown that if $D\\in C^{3}([0,\\infty ))$ is such that $0< D(\\xi ) \\le {K_D} (\\xi +1)^{-\\alpha }$ for all $\\xi >0$ with some ${K_D}>0$ and $\\alpha >0$, then for all initial data from a considerably large set of radial functions on $\\Omega$, the corresponding initial-boundary value problem admits a solution blowing up in finite time.","lang":"eng"}]},{"publication":"Bauks","citation":{"chicago":"Janus, Richard. “Kremers, Hermann (1860-1934).” In Bauks, 2022.","short":"R. Janus, in: Bauks, 2022.","ieee":"R. Janus, “Kremers, Hermann (1860-1934),” in Bauks, 2022.","apa":"Janus, R. (2022). Kremers, Hermann (1860-1934). In Bauks.","bibtex":"@inbook{Janus_2022, title={Kremers, Hermann (1860-1934)}, booktitle={Bauks}, author={Janus, Richard}, year={2022} }","ama":"Janus R. Kremers, Hermann (1860-1934). In: Bauks. ; 2022.","mla":"Janus, Richard. “Kremers, Hermann (1860-1934).” Bauks, 2022."},"type":"encyclopedia_article","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"date_created":"2024-05-16T11:31:07Z","date_updated":"2024-11-18T17:19:17Z","year":"2022","status":"public","title":"Kremers, Hermann (1860-1934)","author":[{"full_name":"Janus, Richard","orcid":"https://orcid.org/0009-0006-0365-4546","first_name":"Richard","last_name":"Janus","id":"31047"}],"user_id":"31047","language":[{"iso":"eng"}],"_id":"54311"},{"type":"conference_abstract","department":[{"_id":"17"},{"_id":"266"}],"file":[{"content_type":"application/pdf","success":1,"file_id":"57503","access_level":"closed","file_size":207167,"file_name":"asp2022 Böer et al.pdf","date_updated":"2024-11-29T11:06:30Z","relation":"main_file","date_created":"2024-11-29T11:06:30Z","creator":"nboeer"}],"date_created":"2023-05-04T13:25:03Z","publication":"Ein Gehirn, viel Bewegung – Variabilität und Plastizität über die Lebensspanne. Abstractband der 54. 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