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69 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
2024 | Misc | LibreCat-ID: 54837 | 
@book{Claes_Lankeit_Winkler_2024, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, publisher={Cornell University}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2024} }
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| arXiv
2024 | Journal Article | LibreCat-ID: 57820
@article{Nikolić_Winkler_2024, title={L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation}, volume={247}, DOI={10.1016/j.na.2024.113600}, number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić, Vanja and Winkler, Michael}, year={2024} }
LibreCat
| DOI
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: 35577
@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial Differential Equations}, author={Winkler, Michael}, year={2022} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
@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}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
@article{Winkler_2022, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.}, volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }
LibreCat
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: 34676
@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }
LibreCat
| DOI
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} }
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