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142 Publications
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
LibreCat
2022 | Journal Article | LibreCat-ID: 63310
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(1), 88–117. https://doi.org/10.1515/ans-2022-0004
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63305
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(3), Article 108. https://doi.org/10.1007/s00526-021-02168-2
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63311
Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3(4), Article 47. https://doi.org/10.1007/s42985-022-00186-z
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63312
Winkler, M. (2022). Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B, 27(11), Article 6565. https://doi.org/10.3934/dcdsb.2022009
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63309
Winkler, M. (2022). A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295(9), 1840–1862. https://doi.org/10.1002/mana.202000403
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63306
Winkler, M. (2022). A critical blow-up exponent for flux limiation in a Keller-Segel system. Indiana University Mathematics Journal, 71(4), 1437–1465. https://doi.org/10.1512/iumj.2022.71.9042
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63284
Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences, 13(02), Article 2250012. https://doi.org/10.1142/s1664360722500126
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63286
Winkler, M. (2022). Exponential grow-up rates in a quasilinear Keller–Segel system. Asymptotic Analysis, 131(1), 33–57. https://doi.org/10.3233/asy-221765
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63293
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $. Discrete and Continuous Dynamical Systems, 42(11), Article 5201. https://doi.org/10.3934/dcds.2022091
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models and Methods in Applied Sciences, 32(04), 713–792. https://doi.org/10.1142/s0218202522500166
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, J., & Winkler, M. (2022). Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations, 22(1), Article 14. https://doi.org/10.1007/s00028-022-00768-9
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63299
Tao, Y., & Winkler, M. (2022). Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. SIAM Journal on Mathematical Analysis, 54(4), 4806–4864. https://doi.org/10.1137/21m1449841
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| DOI