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47 Publications
2021 | Journal Article | LibreCat-ID: 35603
@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}, volume={46}, journal={Communications in Partial Differential Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={1058–1091} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}, volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }
LibreCat
2021 | Journal Article | LibreCat-ID: 34673
@article{Black_Fuest_Lankeit_2021, title={Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}, volume={72}, DOI={10.1007/s00033-021-01524-8}, number={396}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72}, DOI={10.1007/s00033-021-01565-z}, number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
@article{Winkler_2020, title={Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={6590–6623} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
@article{Winkler_2020, title={Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}, volume={20}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
@article{Black_2020, title={Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}, volume={30}, DOI={10.1142/s0218202520400072}, number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}, volume={13}, DOI={10.3934/dcdss.2020007}, number={2}, journal={Discrete & Continuous Dynamical Systems - S}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019}, pages={119–137} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
@article{Black_2019, title={The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}, volume={22}, DOI={10.1007/s00021-019-0464-z}, number={11}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias}, year={2019} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}, volume={42}, DOI={10.1002/mma.5561}, number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={3002–3020} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
@article{Black_Lankeit_Mizukami_2019, title={Stabilization in the Keller–Segel system with signal-dependent sensitivity}, volume={99}, DOI={10.1080/00036811.2019.1585534}, number={16}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={2877–2891} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34664
@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}, volume={50}, DOI={10.1137/17m1159488}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018}, pages={4087–4116} }
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} }
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