--- _id: '34677' article_number: '96' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Chunyan full_name: Wu, Chunyan last_name: Wu citation: ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-022-02201-y' apa: 'Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y' bibtex: '@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={10.1007/s00526-022-02201-y}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }' chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.' ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.' mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:10.1007/s00526-022-02201-y.' short: T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022). date_created: 2022-12-21T09:50:59Z date_updated: 2023-07-10T11:37:27Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1007/s00526-022-02201-y intvolume: ' 61' issue: '3' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Calculus of Variations and Partial Differential Equations publication_identifier: issn: - 0944-2669 - 1432-0835 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation' type: journal_article user_id: '23686' volume: 61 year: '2022' ... --- _id: '35615' article_number: '72' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72. apa: Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72. bibtex: '@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }' chicago: Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021). ieee: M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.,” Zeitschrift für Angewandte Mathematik und Physik, vol. 72, Art. no. 72, 2021. mla: Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 72, 72, 2021. short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021). date_created: 2023-01-09T18:16:56Z date_updated: 2023-01-20T13:14:53Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 72' language: - iso: eng publication: Zeitschrift für Angewandte Mathematik und Physik status: public title: Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. type: journal_article user_id: '15645' volume: 72 year: '2021' ... --- _id: '35614' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152. apa: Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152. bibtex: '@article{Winkler_2021, title={Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021}, journal={International Mathematics Research Notices}, author={Winkler, Michael}, year={2021}, pages={8106–8152} }' chicago: 'Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.' ieee: M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices, vol. 2021, pp. 8106–8152, 2021. mla: Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices, vol. 2021, 2021, pp. 8106–52. short: M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152. date_created: 2023-01-09T18:14:20Z date_updated: 2023-01-20T13:14:58Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 2021' language: - iso: eng page: 8106-8152 publication: International Mathematics Research Notices status: public title: Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? type: journal_article user_id: '15645' volume: 2021 year: '2021' ... --- _id: '35617' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785. apa: Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785. bibtex: '@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }' chicago: 'Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.' ieee: M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112, p. 106785, 2021. mla: Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters, vol. 112, 2021, p. 106785. short: M. Winkler, Applied Mathematics Letters 112 (2021) 106785. date_created: 2023-01-09T18:21:39Z date_updated: 2023-01-20T13:14:48Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 112' language: - iso: eng page: '106785' publication: Applied Mathematics Letters status: public title: Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. type: journal_article user_id: '15645' volume: 112 year: '2021' ... --- _id: '35613' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Transactions of the American Mathematical Society. 2021;374:219-268. apa: Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Transactions of the American Mathematical Society, 374, 219–268. bibtex: '@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268} }' chicago: 'Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an Autonomous Parabolic Flow.” Transactions of the American Mathematical Society 374 (2021): 219–68.' ieee: M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.,” Transactions of the American Mathematical Society, vol. 374, pp. 219–268, 2021. mla: Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an Autonomous Parabolic Flow.” Transactions of the American Mathematical Society, vol. 374, 2021, pp. 219–68. short: M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268. date_created: 2023-01-09T18:11:15Z date_updated: 2023-01-20T13:15:03Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 374' language: - iso: eng page: 219-268 publication: Transactions of the American Mathematical Society status: public title: Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. type: journal_article user_id: '15645' volume: 374 year: '2021' ... --- _id: '35603' article_number: '109069' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: 'Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.' apa: 'Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis, 281, Article 109069.' bibtex: '@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }' chicago: 'Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).' ieee: 'Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.' mla: 'Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis, vol. 281, 109069, 2021.' short: Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021). date_created: 2023-01-09T17:28:08Z date_updated: 2023-02-01T10:18:18Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 281' language: - iso: eng publication: Journal of Functional Analysis status: public title: 'A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.' type: journal_article user_id: '15645' volume: 281 year: '2021' ... --- _id: '35612' author: - first_name: Yulan full_name: Wang, Yulan last_name: Wang - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Zhaoyin full_name: Xiang, Zhaoyin last_name: Xiang citation: ama: Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746. apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics, 64, 725–746. bibtex: '@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }' chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.' ieee: Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” Science China Mathematics, vol. 64, pp. 725–746, 2021. mla: Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics, vol. 64, 2021, pp. 725–46. short: Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746. date_created: 2023-01-09T18:06:08Z date_updated: 2023-02-01T10:22:22Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 64' language: - iso: eng page: 725-746 publication: Science China Mathematics status: public title: Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. type: journal_article user_id: '15645' volume: 64 year: '2021' ... --- _id: '35605' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849. apa: Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences, 19, 829–849. bibtex: '@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }' chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.' ieee: Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.,” Communications in Mathematical Sciences, vol. 19, pp. 829–849, 2021. mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences, vol. 19, 2021, pp. 829–49. short: Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849. date_created: 2023-01-09T17:32:36Z date_updated: 2023-02-01T10:23:03Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 19' language: - iso: eng page: 829-849 publication: Communications in Mathematical Sciences status: public title: Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. type: journal_article user_id: '15645' volume: 19 year: '2021' ... --- _id: '35610' author: - first_name: Yulan full_name: Wang, Yulan last_name: Wang - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Zhaoyin full_name: Xiang, Zhaoyin last_name: Xiang citation: ama: Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091. apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations, 46, 1058–1091. bibtex: '@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}, volume={46}, journal={Communications in Partial Differential Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={1058–1091} }' chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations 46 (2021): 1058–91.' ieee: Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021. mla: Wang, Yulan, et al. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations, vol. 46, 2021, pp. 1058–91. short: Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091. date_created: 2023-01-09T18:00:41Z date_updated: 2023-02-01T10:25:34Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 46' language: - iso: eng page: 1058-1091 publication: Communications in Partial Differential Equations status: public title: Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. type: journal_article user_id: '15645' volume: 46 year: '2021' ... --- _id: '35611' author: - first_name: Yulan full_name: Wang, Yulan last_name: Wang - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Zhaoyin full_name: Xiang, Zhaoyin last_name: Xiang citation: ama: Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731. apa: Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis, 10, 707–731. bibtex: '@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}, volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }' chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.' ieee: Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021. mla: Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis, vol. 10, 2021, pp. 707–31. short: Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731. date_created: 2023-01-09T18:03:45Z date_updated: 2023-02-01T10:27:17Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 10' language: - iso: eng page: 707-731 publication: Advances in Nonlinear Analysis status: public title: Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation type: journal_article user_id: '15645' volume: 10 year: '2021' ... --- _id: '34673' article_number: '96' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Mario full_name: Fuest, Mario last_name: Fuest - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit citation: ama: Black T, Fuest M, Lankeit J. Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift für angewandte Mathematik und Physik. 2021;72(3). doi:10.1007/s00033-021-01524-8 apa: Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article 96. https://doi.org/10.1007/s00033-021-01524-8 bibtex: '@article{Black_Fuest_Lankeit_2021, title={Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}, volume={72}, DOI={10.1007/s00033-021-01524-8}, number={396}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes}, year={2021} }' chicago: Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8. ieee: 'T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.' mla: Black, Tobias, et al. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 72, no. 3, 96, Springer Science and Business Media LLC, 2021, doi:10.1007/s00033-021-01524-8. short: T. Black, M. Fuest, J. Lankeit, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021). date_created: 2022-12-21T09:48:36Z date_updated: 2023-07-10T11:39:23Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1007/s00033-021-01524-8 intvolume: ' 72' issue: '3' keyword: - Applied Mathematics - General Physics and Astronomy - General Mathematics language: - iso: eng publication: Zeitschrift für angewandte Mathematik und Physik publication_identifier: issn: - 0044-2275 - 1420-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems type: journal_article user_id: '23686' volume: 72 year: '2021' ... --- _id: '34675' article_number: '135' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Chunyan full_name: Wu, Chunyan last_name: Wu citation: ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift für angewandte Mathematik und Physik. 2021;72(4). doi:10.1007/s00033-021-01565-z' apa: 'Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z' bibtex: '@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72}, DOI={10.1007/s00033-021-01565-z}, number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021} }' chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.' ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.' mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 72, no. 4, 135, Springer Science and Business Media LLC, 2021, doi:10.1007/s00033-021-01565-z.' short: T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021). date_created: 2022-12-21T09:48:45Z date_updated: 2023-07-10T11:39:30Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1007/s00033-021-01565-z intvolume: ' 72' issue: '4' keyword: - Applied Mathematics - General Physics and Astronomy - General Mathematics language: - iso: eng publication: Zeitschrift für angewandte Mathematik und Physik publication_identifier: issn: - 0044-2275 - 1420-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation' type: journal_article user_id: '23686' volume: 72 year: '2021' ... --- _id: '37373' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048. apa: Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048. bibtex: '@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }' chicago: 'Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.' ieee: M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020. mla: Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity, vol. 33, 2020, pp. 5007–48. short: M. Winkler, Nonlinearity 33 (2020) 5007–5048. date_created: 2023-01-18T12:46:13Z date_updated: 2023-01-20T13:12:29Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 33' language: - iso: eng page: 5007-5048 publication: Nonlinearity status: public title: Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system type: journal_article user_id: '15645' volume: 33 year: '2020' ... --- _id: '37380' article_number: '10' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71. apa: Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10. bibtex: '@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }' chicago: Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020). ieee: M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020. mla: Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 71, 10, 2020. short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020). date_created: 2023-01-18T12:55:58Z date_updated: 2023-01-20T13:13:00Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 71' language: - iso: eng publication: Zeitschrift für angewandte Mathematik und Physik status: public title: Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. type: journal_article user_id: '15645' volume: 71 year: '2020' ... --- _id: '37367' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623. apa: Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623. bibtex: '@article{Winkler_2020, title={Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={6590–6623} }' chicago: 'Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.' ieee: M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020. mla: Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity, vol. 33, 2020, pp. 6590–623. short: M. Winkler, Nonlinearity 33 (2020) 6590–6623. date_created: 2023-01-18T12:42:55Z date_updated: 2023-01-20T13:13:34Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 33' language: - iso: eng page: 6590-6623 publication: Nonlinearity status: public title: Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? type: journal_article user_id: '15645' volume: 33 year: '2020' ... --- _id: '37375' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817. apa: Winkler, M. (2020). Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies, 20, 795–817. bibtex: '@article{Winkler_2020, title={Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}, volume={20}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2020}, pages={795–817} }' chicago: 'Winkler, Michael. “Attractiveness  of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.' ieee: M. Winkler, “Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020. mla: Winkler, Michael. “Attractiveness  of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies, vol. 20, 2020, pp. 795–817. short: M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817. date_created: 2023-01-18T12:49:46Z date_updated: 2023-01-20T13:13:27Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 20' language: - iso: eng page: 795-817 publication: Advanced Nonlinear Studies status: public title: Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. type: journal_article user_id: '15645' volume: 20 year: '2020' ... --- _id: '37347' author: - first_name: Nancy full_name: Rodriguez, Nancy last_name: Rodriguez - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137. apa: Rodriguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences, 30, 2105–2137. bibtex: '@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }' chicago: 'Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.' ieee: N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020. mla: Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences, vol. 30, 2020, pp. 2105–37. short: N. Rodriguez, M. Winkler, Mathematical Models & Methods in Applied Sciences 30 (2020) 2105–2137. date_created: 2023-01-18T12:10:04Z date_updated: 2023-01-20T13:14:37Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 30' language: - iso: eng page: 2105-2137 publication: Mathematical Models & Methods in Applied Sciences status: public title: Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. type: journal_article user_id: '15645' volume: 30 year: '2020' ... --- _id: '37349' author: - first_name: Christian full_name: Stinner, Christian last_name: Stinner - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058. apa: Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058. bibtex: '@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }' chicago: 'Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.' ieee: C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020. mla: Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A, vol. 40, 2020, pp. 4039–58. short: C. Stinner, M. Winkler, Discrete and Continuous Dynamical Systems --A 40 (2020) 4039–4058. date_created: 2023-01-18T12:17:21Z date_updated: 2023-01-20T13:14:30Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 40' language: - iso: eng page: 4039-4058 publication: Discrete and Continuous Dynamical Systems --A status: public title: Refined regularity and stabilization properties in a degenerate haptotaxis system type: journal_article user_id: '15645' volume: 40 year: '2020' ... --- _id: '34670' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 citation: ama: Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences. 2020;30(06):1075-1117. doi:10.1142/s0218202520400072 apa: Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072 bibtex: '@article{Black_2020, title={Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}, volume={30}, DOI={10.1142/s0218202520400072}, number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117} }' chicago: 'Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.' ieee: 'T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.' mla: Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, World Scientific Pub Co Pte Lt, 2020, pp. 1075–117, doi:10.1142/s0218202520400072. short: T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117. date_created: 2022-12-21T09:48:11Z date_updated: 2023-07-10T11:39:59Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1142/s0218202520400072 intvolume: ' 30' issue: '06' keyword: - Applied Mathematics - Modeling and Simulation language: - iso: eng page: 1075-1117 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Lt status: public title: Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties type: journal_article user_id: '23686' volume: 30 year: '2020' ... --- _id: '34672' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 citation: ama: Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S. 2019;13(2):119-137. doi:10.3934/dcdss.2020007 apa: Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007 bibtex: '@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}, volume={13}, DOI={10.3934/dcdss.2020007}, number={2}, journal={Discrete & Continuous Dynamical Systems - S}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019}, pages={119–137} }' chicago: 'Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.' ieee: 'T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.' mla: Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS), 2019, pp. 119–37, doi:10.3934/dcdss.2020007. short: T. Black, Discrete & Continuous Dynamical Systems - S 13 (2019) 119–137. date_created: 2022-12-21T09:48:28Z date_updated: 2022-12-21T10:04:44Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.3934/dcdss.2020007 intvolume: ' 13' issue: '2' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics - Analysis language: - iso: eng page: 119-137 publication: Discrete & Continuous Dynamical Systems - S publication_identifier: issn: - 1937-1179 publication_status: published publisher: American Institute of Mathematical Sciences (AIMS) status: public title: Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity type: journal_article user_id: '23686' volume: 13 year: '2019' ...