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15 Publications
2025 | Journal Article | LibreCat-ID: 60205
@article{Black_2025, title={Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}, volume={443}, DOI={10.1016/j.jde.2025.113555}, number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63247
@article{Tao_Winkler_2025, title={A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production}, volume={423}, DOI={10.1016/j.jde.2024.12.040}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63263
@article{Winkler_2024, title={L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux}, volume={400}, DOI={10.1016/j.jde.2024.04.028}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2024}, pages={423–456} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 34793
@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53342
@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63289
@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 53327
@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={10.1016/j.jde.2022.10.022}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={10.1016/j.jde.2022.10.022}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
@article{Winkler_2021, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, DOI={10.1016/j.jde.2021.11.026}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2021}, pages={74–97} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
@article{Tao_Winkler_2019, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy}, volume={268}, DOI={10.1016/j.jde.2019.10.046}, number={9}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={4973–4997} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
@article{Tao_Winkler_2019, title={Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension}, volume={267}, DOI={10.1016/j.jde.2019.01.014}, number={1}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={388–406} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34666
@article{Black_2018, title={Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D}, volume={265}, DOI={10.1016/j.jde.2018.04.035}, number={5}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={2296–2339} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
@article{Winkler_2018, title={Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities}, volume={266}, DOI={10.1016/j.jde.2018.12.019}, number={12}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={8034–8066} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
@article{Winkler_2018, title={Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement}, volume={264}, DOI={10.1016/j.jde.2018.01.027}, number={10}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={6109–6151} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
@article{Winkler_2017, title={Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption}, volume={264}, DOI={10.1016/j.jde.2017.10.029}, number={3}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2017}, pages={2310–2350} }
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| DOI