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