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46 Publications
2022 | Journal Article | LibreCat-ID: 35577
Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61.
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2022 | Journal Article | LibreCat-ID: 35599
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.
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2022 | Journal Article | LibreCat-ID: 35597
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.
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2022 | Journal Article | LibreCat-ID: 35598
Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862.
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2022 | Journal Article | LibreCat-ID: 35600
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3.
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2022 | Journal Article | LibreCat-ID: 35582
Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465.
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2022 | Journal Article | LibreCat-ID: 35590
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.
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2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
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2022 | Journal Article | LibreCat-ID: 34676
Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x
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| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
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2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.
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2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
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2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
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2022 | Journal Article | LibreCat-ID: 35548
Tao Y, Winkler M. Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. SIAM Journal on Mathematical Analysis. 2022;54:4806-4864.
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2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
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2021 | Journal Article | LibreCat-ID: 35616
Winkler M. Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications. 2021;59.
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2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
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