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47 Publications
2025 | Journal Article | LibreCat-ID: 56960
@article{Black_2025, title={Absence of dead-core formations in chemotaxis systems with degenerate diffusion}, volume={161}, DOI={10.1016/j.aml.2024.109361}, number={109361}, journal={Applied Mathematics Letters}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 60205
@article{Black_2025, title={Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}, volume={443}, DOI={10.1016/j.jde.2025.113555}, number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 54837 | 
@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={10.1142/s0218202525500447}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }
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| arXiv
2023 | Journal Article | LibreCat-ID: 43105
@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}, volume={73}, DOI={10.1016/j.nonrwa.2023.103868}, number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}, year={2023} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35483
@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35479
@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }
LibreCat
2022 | Journal Article | LibreCat-ID: 34677
@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} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
@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} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
@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} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
@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} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
@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} }
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