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15 Publications
2025 | Journal Article | LibreCat-ID: 60205
T. Black, “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, Art. no. 113555, 2025, doi: 10.1016/j.jde.2025.113555.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63247
Y. Tao and M. 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, pp. 197–239, 2025, doi: 10.1016/j.jde.2024.12.040.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63263
M. Winkler, “L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux,” Journal of Differential Equations, vol. 400, pp. 423–456, 2024, doi: 10.1016/j.jde.2024.04.028.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53342
M. Winkler and T. 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, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63289
M. Winkler and T. 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, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 53327
Y. Tao and M. 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, pp. 390–418, 2022, doi: 10.1016/j.jde.2022.10.022.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
Y. Tao and M. 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, pp. 390–418, 2022, doi: 10.1016/j.jde.2022.10.022.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2021, doi: 10.1016/j.jde.2021.11.026.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy,” Journal of Differential Equations, vol. 268, no. 9, pp. 4973–4997, 2019, doi: 10.1016/j.jde.2019.10.046.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
Y. Tao and M. Winkler, “Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension,” Journal of Differential Equations, vol. 267, no. 1, pp. 388–406, 2019, doi: 10.1016/j.jde.2019.01.014.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34666
T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,” Journal of Differential Equations, vol. 265, no. 5, pp. 2296–2339, 2018, doi: 10.1016/j.jde.2018.04.035.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
M. Winkler, “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, pp. 8034–8066, 2018, doi: 10.1016/j.jde.2018.12.019.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
M. Winkler, “Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement,” Journal of Differential Equations, vol. 264, no. 10, pp. 6109–6151, 2018, doi: 10.1016/j.jde.2018.01.027.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
M. Winkler, “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, pp. 2310–2350, 2017, doi: 10.1016/j.jde.2017.10.029.
LibreCat
| DOI