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46 Publications
2022 | Journal Article | LibreCat-ID: 35577
Winkler, M. (2022). 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, 61, Article 108.
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2022 | Journal Article | LibreCat-ID: 35599
Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22, 88–117.
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2022 | Journal Article | LibreCat-ID: 35597
Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407.
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2022 | Journal Article | LibreCat-ID: 35598
Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295, 1840–1862.
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2022 | Journal Article | LibreCat-ID: 35600
Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3, Article 47.
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2022 | Journal Article | LibreCat-ID: 35582
Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal, 7, 1437–1465.
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2022 | Journal Article | LibreCat-ID: 35590
Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97.
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2022 | Journal Article | LibreCat-ID: 35528
Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.
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2022 | Journal Article | LibreCat-ID: 34676
Black, T., & Winkler, M. (2022). 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, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x
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| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151.
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2022 | Journal Article | LibreCat-ID: 35565
Wang, Y., Winkler, M., & Xiang, Z. (2022). 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), 38, 985–1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35548
Tao, Y., & Winkler, M. (2022). Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. SIAM Journal on Mathematical Analysis, 54, 4806–4864.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
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2021 | Journal Article | LibreCat-ID: 35616
Winkler, M. (2021). Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications, 59, Article 103257.
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
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