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142 Publications
2019 | Journal Article | LibreCat-ID: 63359
Wang Y, Winkler M, Xiang Z. The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations. 2019;58(6). doi:10.1007/s00526-019-1656-3
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
Winkler M. How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali di Matematica Pura ed Applicata (1923 -). 2019;198(5):1615-1637. doi:10.1007/s10231-019-00834-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
Winkler M. Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations? Nonlinear Differential Equations and Applications NoDEA. 2019;26(6). doi:10.1007/s00030-019-0600-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
Souplet P, Winkler M. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3. Communications in Mathematical Physics. 2018;367(2):665-681. doi:10.1007/s00220-018-3238-1
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
Winkler M. How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen. 2018;373(3-4):1237-1282. doi:10.1007/s00208-018-1722-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
Winkler M. Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. Journal of Differential Equations. 2018;266(12):8034-8066. doi:10.1016/j.jde.2018.12.019
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63360
Winkler M. A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization. Journal of Functional Analysis. 2018;276(5):1339-1401. doi:10.1016/j.jfa.2018.12.009
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63369
Cao X, Winkler M. Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2018;148(5):939-955. doi:10.1017/s0308210518000057
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63368
Winkler M. Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity. Acta Applicandae Mathematicae. 2018;163(1):1-17. doi:10.1007/s10440-018-0211-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
Espejo E, Winkler M. Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization. Nonlinearity. 2018;31(4):1227-1259. doi:10.1088/1361-6544/aa9d5f
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
Winkler M. Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation. Zeitschrift für angewandte Mathematik und Physik. 2018;69(2). doi:10.1007/s00033-018-0935-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63375
Winkler M. Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Journal of Mathematical Fluid Mechanics. 2018;20(4):1889-1909. doi:10.1007/s00021-018-0395-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
Winkler M. Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Journal of Evolution Equations. 2018;18(3):1267-1289. doi:10.1007/s00028-018-0440-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
Winkler M. Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Journal of Differential Equations. 2018;264(10):6109-6151. doi:10.1016/j.jde.2018.01.027
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63376
Winkler M. A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Nonlinearity. 2018;31(5):2031-2056. doi:10.1088/1361-6544/aaaa0e
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
Winkler M, Yokota T. Stabilization in the logarithmic Keller–Segel system. Nonlinear Analysis. 2018;170:123-141. doi:10.1016/j.na.2018.01.002
LibreCat
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2017 | Journal Article | LibreCat-ID: 63371
HILLEN T, PAINTER KJ, Winkler M. Global solvability and explicit bounds for non-local adhesion models. European Journal of Applied Mathematics. 2017;29(4):645-684. doi:10.1017/s0956792517000328
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63372
Wang Y, Winkler M, Xiang Z. The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system. Mathematische Zeitschrift. 2017;289(1-2):71-108. doi:10.1007/s00209-017-1944-6
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
Winkler M. Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Journal de Mathématiques Pures et Appliquées. 2017;112:118-169. doi:10.1016/j.matpur.2017.11.002
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
Winkler M. One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity. Journal of Dynamics and Differential Equations. 2017;30(1):331-358. doi:10.1007/s10884-017-9577-3
LibreCat
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