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142 Publications
2019 | Journal Article | LibreCat-ID: 63359
Wang, Yulan, et al. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid) Systems.” Calculus of Variations and Partial Differential Equations, vol. 58, no. 6, 196, Springer Science and Business Media LLC, 2019, doi:10.1007/s00526-019-1656-3.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
Winkler, Michael. “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, Springer Science and Business Media LLC, 2019, pp. 1615–37, doi:10.1007/s10231-019-00834-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
Winkler, Michael. “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, 48, Springer Science and Business Media LLC, 2019, doi:10.1007/s00030-019-0600-8.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
Souplet, Philippe, and Michael 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, Springer Science and Business Media LLC, 2018, pp. 665–81, doi:10.1007/s00220-018-3238-1.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
Winkler, Michael. “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, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi:10.1007/s00208-018-1722-8.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
Winkler, Michael. “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, Elsevier BV, 2018, pp. 8034–66, doi:10.1016/j.jde.2018.12.019.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63360
Winkler, Michael. “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, Elsevier BV, 2018, pp. 1339–401, doi:10.1016/j.jfa.2018.12.009.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63369
Cao, Xinru, and Michael 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, Cambridge University Press (CUP), 2018, pp. 939–55, doi:10.1017/s0308210518000057.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63368
Winkler, Michael. “Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity.” Acta Applicandae Mathematicae, vol. 163, no. 1, Springer Science and Business Media LLC, 2018, pp. 1–17, doi:10.1007/s10440-018-0211-0.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
Espejo, Elio, and Michael Winkler. “Global Classical Solvability and Stabilization in a Two-Dimensional Chemotaxis-Navier–Stokes System Modeling Coral Fertilization.” Nonlinearity, vol. 31, no. 4, IOP Publishing, 2018, pp. 1227–59, doi:10.1088/1361-6544/aa9d5f.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
Winkler, Michael. “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, 40, Springer Science and Business Media LLC, 2018, doi:10.1007/s00033-018-0935-8.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63375
Winkler, Michael. “Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?” Journal of Mathematical Fluid Mechanics, vol. 20, no. 4, Springer Science and Business Media LLC, 2018, pp. 1889–909, doi:10.1007/s00021-018-0395-0.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
Winkler, Michael. “Global Mass-Preserving Solutions in a Two-Dimensional Chemotaxis-Stokes System with Rotational Flux Components.” Journal of Evolution Equations, vol. 18, no. 3, Springer Science and Business Media LLC, 2018, pp. 1267–89, doi:10.1007/s00028-018-0440-8.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
Winkler, Michael. “Global Existence and Stabilization in a Degenerate Chemotaxis-Stokes System with Mildly Strong Diffusion Enhancement.” Journal of Differential Equations, vol. 264, no. 10, Elsevier BV, 2018, pp. 6109–51, doi:10.1016/j.jde.2018.01.027.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63376
Winkler, Michael. “A Critical Blow-up Exponent in a Chemotaxis System with Nonlinear Signal Production.” Nonlinearity, vol. 31, no. 5, IOP Publishing, 2018, pp. 2031–56, doi:10.1088/1361-6544/aaaa0e.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
Winkler, Michael, and Tomomi Yokota. “Stabilization in the Logarithmic Keller–Segel System.” Nonlinear Analysis, vol. 170, Elsevier BV, 2018, pp. 123–41, doi:10.1016/j.na.2018.01.002.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., et al. “Global Solvability and Explicit Bounds for Non-Local Adhesion Models.” European Journal of Applied Mathematics, vol. 29, no. 4, Cambridge University Press (CUP), 2017, pp. 645–84, doi:10.1017/s0956792517000328.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63372
Wang, Yulan, et al. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Mathematische Zeitschrift, vol. 289, no. 1–2, Springer Science and Business Media LLC, 2017, pp. 71–108, doi:10.1007/s00209-017-1944-6.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
Winkler, Michael. “Singular Structure Formation in a Degenerate Haptotaxis Model Involving Myopic Diffusion.” Journal de Mathématiques Pures et Appliquées, vol. 112, Elsevier BV, 2017, pp. 118–69, doi:10.1016/j.matpur.2017.11.002.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
Winkler, Michael. “One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity.” Journal of Dynamics and Differential Equations, vol. 30, no. 1, Springer Science and Business Media LLC, 2017, pp. 331–58, doi:10.1007/s10884-017-9577-3.
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