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46 Publications
2021 | Journal Article | LibreCat-ID: 35614
M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices, vol. 2021, pp. 8106–8152, 2021.
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2021 | Journal Article | LibreCat-ID: 35617
M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112, p. 106785, 2021.
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2021 | Journal Article | LibreCat-ID: 35613
M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.,” Transactions of the American Mathematical Society, vol. 374, pp. 219–268, 2021.
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2021 | Journal Article | LibreCat-ID: 35603
Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.
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2021 | Journal Article | LibreCat-ID: 35606
Y. Tao and M. Winkler, “The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.,” Nonlinear Analysis, Theory, Methods and Applications, vol. 208, Art. no. 112324, 2021.
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2021 | Journal Article | LibreCat-ID: 35612
Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” Science China Mathematics, vol. 64, pp. 725–746, 2021.
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2021 | Journal Article | LibreCat-ID: 35601
M. Ding and M. Winkler, “Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.,” Nonlinear Differential Equatiions and Applicatiions, vol. 28, Art. no. 47, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.,” Communications in Mathematical Sciences, vol. 19, pp. 829–849, 2021.
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2021 | Journal Article | LibreCat-ID: 35604
Y. Tao and M. Winkler, “Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.,” SIAM Journal on Mathematical Analysis, vol. 53, pp. 1411–1433, 2021.
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2021 | Journal Article | LibreCat-ID: 35610
Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
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2021 | Journal Article | LibreCat-ID: 35608
Y. Tao and M. Winkler, “Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction,” Discrete and Continuous Dynamical Systems, vol. 41, no. A, pp. 439–454, 2021.
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2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
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2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
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2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
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2020 | Journal Article | LibreCat-ID: 37364
M. Winkler, “The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.,” Advances in Nonlinear Analysis, vol. 9, pp. 526–566, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
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2020 | Journal Article | LibreCat-ID: 37355
M. Winkler, “Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.,” SIAM Journal on Mathematical Analysis, vol. 52, pp. 2041–2080, 2020.
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2020 | Journal Article | LibreCat-ID: 37377
M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, pp. 577–591, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
M. Winkler, “Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.,” Journal d’Analyse Mathématique, vol. 141, pp. 585–624, 2020.
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