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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, vol. 443, 113555, Elsevier BV, 2025, doi: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, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:10.1016/j.jde.2024.12.040.
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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, vol. 400, Elsevier BV, 2024, pp. 423–56, doi:10.1016/j.jde.2024.04.028.
LibreCat
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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, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
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| 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, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029.
LibreCat
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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, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029.
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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, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:10.1016/j.jde.2022.10.022.
LibreCat
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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, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:10.1016/j.jde.2022.10.022.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63307
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, Elsevier BV, 2021, pp. 74–97, doi:10.1016/j.jde.2021.11.026.
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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, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97, doi:10.1016/j.jde.2019.10.046.
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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, vol. 267, no. 1, Elsevier BV, 2019, pp. 388–406, doi:10.1016/j.jde.2019.01.014.
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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, vol. 265, no. 5, Elsevier BV, 2018, pp. 2296–339, doi:10.1016/j.jde.2018.04.035.
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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, vol. 266, no. 12, Elsevier BV, 2018, pp. 8034–66, doi:10.1016/j.jde.2018.12.019.
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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, vol. 264, no. 10, Elsevier BV, 2018, pp. 6109–51, doi:10.1016/j.jde.2018.01.027.
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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, vol. 264, no. 3, Elsevier BV, 2017, pp. 2310–50, doi:10.1016/j.jde.2017.10.029.
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