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142 Publications
2019 | Journal Article | LibreCat-ID: 63359
Y. Wang, M. Winkler, and Z. Xiang, “The fast signal diffusion limit in Keller–Segel(-fluid) systems,” Calculus of Variations and Partial Differential Equations, vol. 58, no. 6, Art. no. 196, 2019, doi: 10.1007/s00526-019-1656-3.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
M. Winkler, “How strong singularities can be regularized by logistic degradation in the Keller–Segel system?,” Annali di Matematica Pura ed Applicata (1923 -), vol. 198, no. 5, pp. 1615–1637, 2019, doi: 10.1007/s10231-019-00834-z.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63367
M. Winkler, “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, vol. 26, no. 6, Art. no. 48, 2019, doi: 10.1007/s00030-019-0600-8.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63354
P. Souplet and M. Winkler, “Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3,” Communications in Mathematical Physics, vol. 367, no. 2, pp. 665–681, 2018, doi: 10.1007/s00220-018-3238-1.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
M. Winkler, “How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases,” Mathematische Annalen, vol. 373, no. 3–4, pp. 1237–1282, 2018, doi: 10.1007/s00208-018-1722-8.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63365
M. Winkler, “Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities,” Journal of Differential Equations, vol. 266, no. 12, pp. 8034–8066, 2018, doi: 10.1016/j.jde.2018.12.019.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63360
M. Winkler, “A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization,” Journal of Functional Analysis, vol. 276, no. 5, pp. 1339–1401, 2018, doi: 10.1016/j.jfa.2018.12.009.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63369
X. Cao and M. Winkler, “Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 148, no. 5, pp. 939–955, 2018, doi: 10.1017/s0308210518000057.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63368
M. Winkler, “Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity,” Acta Applicandae Mathematicae, vol. 163, no. 1, pp. 1–17, 2018, doi: 10.1007/s10440-018-0211-0.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63370
E. Espejo and M. Winkler, “Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization,” Nonlinearity, vol. 31, no. 4, pp. 1227–1259, 2018, doi: 10.1088/1361-6544/aa9d5f.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63377
M. Winkler, “Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation,” Zeitschrift für angewandte Mathematik und Physik, vol. 69, no. 2, Art. no. 40, 2018, doi: 10.1007/s00033-018-0935-8.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63375
M. Winkler, “Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?,” Journal of Mathematical Fluid Mechanics, vol. 20, no. 4, pp. 1889–1909, 2018, doi: 10.1007/s00021-018-0395-0.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
M. Winkler, “Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components,” Journal of Evolution Equations, vol. 18, no. 3, pp. 1267–1289, 2018, doi: 10.1007/s00028-018-0440-8.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63380
M. Winkler, “Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement,” Journal of Differential Equations, vol. 264, no. 10, pp. 6109–6151, 2018, doi: 10.1016/j.jde.2018.01.027.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63376
M. Winkler, “A critical blow-up exponent in a chemotaxis system with nonlinear signal production,” Nonlinearity, vol. 31, no. 5, pp. 2031–2056, 2018, doi: 10.1088/1361-6544/aaaa0e.
LibreCat
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2018 | Journal Article | LibreCat-ID: 63382
M. Winkler and T. Yokota, “Stabilization in the logarithmic Keller–Segel system,” Nonlinear Analysis, vol. 170, pp. 123–141, 2018, doi: 10.1016/j.na.2018.01.002.
LibreCat
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2017 | Journal Article | LibreCat-ID: 63371
T. HILLEN, K. J. PAINTER, and M. Winkler, “Global solvability and explicit bounds for non-local adhesion models,” European Journal of Applied Mathematics, vol. 29, no. 4, pp. 645–684, 2017, doi: 10.1017/s0956792517000328.
LibreCat
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2017 | Journal Article | LibreCat-ID: 63372
Y. Wang, M. Winkler, and Z. Xiang, “The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system,” Mathematische Zeitschrift, vol. 289, no. 1–2, pp. 71–108, 2017, doi: 10.1007/s00209-017-1944-6.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
M. Winkler, “Singular structure formation in a degenerate haptotaxis model involving myopic diffusion,” Journal de Mathématiques Pures et Appliquées, vol. 112, pp. 118–169, 2017, doi: 10.1016/j.matpur.2017.11.002.
LibreCat
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2017 | Journal Article | LibreCat-ID: 63378
M. Winkler, “One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity,” Journal of Dynamics and Differential Equations, vol. 30, no. 1, pp. 331–358, 2017, doi: 10.1007/s10884-017-9577-3.
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