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43442 Publications
2022 | Journal Article | LibreCat-ID: 63305
Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-021-02168-2.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63311
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3, no. 4 (2022). https://doi.org/10.1007/s42985-022-00186-z.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63312
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.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63309
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller–Segel Type Cross‐diffusion Systems via Conditional L∞$L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295, no. 9 (2022): 1840–62. https://doi.org/10.1002/mana.202000403.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63306
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limiation in a Keller-Segel System.” Indiana University Mathematics Journal 71, no. 4 (2022): 1437–65. https://doi.org/10.1512/iumj.2022.71.9042.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63284
Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” Bulletin of Mathematical Sciences 13, no. 02 (2022). https://doi.org/10.1142/s1664360722500126.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63286
Winkler, Michael. “Exponential Grow-up Rates in a Quasilinear Keller–Segel System.” Asymptotic Analysis 131, no. 1 (2022): 33–57. https://doi.org/10.3233/asy-221765.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63293
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $ \mathbb{R}^3 $.” Discrete and Continuous Dynamical Systems 42, no. 11 (2022). https://doi.org/10.3934/dcds.2022091.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., N. Outada, J. Soler, Y. Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models and Methods in Applied Sciences 32, no. 04 (2022): 713–92. https://doi.org/10.1142/s0218202522500166.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” Journal of Evolution Equations 22, no. 1 (2022). https://doi.org/10.1007/s00028-022-00768-9.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63299
Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” SIAM Journal on Mathematical Analysis 54, no. 4 (2022): 4806–64. https://doi.org/10.1137/21m1449841.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63298
Stevens, Angela, and Michael Winkler. “Taxis-Driven Persistent Localization in a Degenerate Keller-Segel System.” Communications in Partial Differential Equations 47, no. 12 (2022): 2341–62. https://doi.org/10.1080/03605302.2022.2122836.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
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.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” Journal of Differential Equations 343 (2022): 390–418. https://doi.org/10.1016/j.jde.2022.10.022.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis 226 (2022). https://doi.org/10.1016/j.na.2022.113153.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63278
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.
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| DOI
2022 | Journal Article | LibreCat-ID: 63279
Winkler, Michael. “Does Leray’s Structure Theorem Withstand Buoyancy-Driven Chemotaxis-Fluid Interaction?” Journal of the European Mathematical Society 25, no. 4 (2022): 1423–56. https://doi.org/10.4171/jems/1226.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63274
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.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” Communications in Contemporary Mathematics 25, no. 10 (2022). https://doi.org/10.1142/s0219199722500626.
LibreCat
| DOI
2022 | Conference Paper | LibreCat-ID: 40212
Haucke-Korber, Barnabas, Maximilian Schenke, and Oliver Wallscheid. “Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors.” In IKMT 2022; 13. GMM/ETG-Symposium, 1–6, 2022.
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