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15 Publications
2025 | Journal Article | LibreCat-ID: 60205
Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Differential Equations 443 (2025). https://doi.org/10.1016/j.jde.2025.113555.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63247
Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations 423 (2025): 197–239. https://doi.org/10.1016/j.jde.2024.12.040.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63263
Winkler, Michael. “L∞ Bounds in a Two-Dimensional Doubly Degenerate Nutrient Taxis System with General Cross-Diffusive Flux.” Journal of Differential Equations 400 (2024): 423–56. https://doi.org/10.1016/j.jde.2024.04.028.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 34793
Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53342
Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63289
Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 53327
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: 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
2021 | Journal Article | LibreCat-ID: 63307
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2021): 74–97. https://doi.org/10.1016/j.jde.2021.11.026.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268, no. 9 (2019): 4973–97. https://doi.org/10.1016/j.jde.2019.10.046.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic Nutrient Taxis System in Domains of Arbitrary Dimension.” Journal of Differential Equations 267, no. 1 (2019): 388–406. https://doi.org/10.1016/j.jde.2019.01.014.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34666
Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” Journal of Differential Equations 265, no. 5 (2018): 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
Winkler, Michael. “Global Classical Solvability and Generic Infinite-Time Blow-up in Quasilinear Keller–Segel Systems with Bounded Sensitivities.” Journal of Differential Equations 266, no. 12 (2018): 8034–66. https://doi.org/10.1016/j.jde.2018.12.019.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
Winkler, Michael. “Global Existence and Stabilization in a Degenerate Chemotaxis-Stokes System with Mildly Strong Diffusion Enhancement.” Journal of Differential Equations 264, no. 10 (2018): 6109–51. https://doi.org/10.1016/j.jde.2018.01.027.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
Winkler, Michael. “Renormalized Radial Large-Data Solutions to the Higher-Dimensional Keller–Segel System with Singular Sensitivity and Signal Absorption.” Journal of Differential Equations 264, no. 3 (2017): 2310–50. https://doi.org/10.1016/j.jde.2017.10.029.
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