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46 Publications
2022 | Journal Article | LibreCat-ID: 35577
Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).
2022 | Journal Article | LibreCat-ID: 35599
Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.
M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
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M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
2022 | Journal Article | LibreCat-ID: 35597
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).
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M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).
2022 | Journal Article | LibreCat-ID: 35598
A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
LibreCat
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
2022 | Journal Article | LibreCat-ID: 35600
Oscillatory decay in a degenerate parabolic equation.
M. Winkler, Partial Differential Equations and Applications 3 (2022).
LibreCat
M. Winkler, Partial Differential Equations and Applications 3 (2022).
2022 | Journal Article | LibreCat-ID: 35582
A critical blow-up exponent for flux limitation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.
LibreCat
M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.
2022 | Journal Article | LibreCat-ID: 35590
Unlimited growth in logarithmic Keller-Segel systems
M. Winkler, Journal of Differential Equations 309 (2022) 74–97.
LibreCat
M. Winkler, Journal of Differential Equations 309 (2022) 74–97.
2022 | Journal Article | LibreCat-ID: 35528
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
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J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
2022 | Journal Article | LibreCat-ID: 35568
Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.
M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
LibreCat
M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
2022 | Journal Article | LibreCat-ID: 35574
A family of mass-critical Keller-Segel systems.
M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
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M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
2022 | Journal Article | LibreCat-ID: 34676
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
LibreCat
| DOI
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
2022 | Journal Article | LibreCat-ID: 35483
Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.
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K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.
2022 | Journal Article | LibreCat-ID: 35481
A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.
J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.
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J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.
2022 | Journal Article | LibreCat-ID: 35565
A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.
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Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.
2022 | Journal Article | LibreCat-ID: 35560
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
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Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
2022 | Journal Article | LibreCat-ID: 35556
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
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Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
2022 | Journal Article | LibreCat-ID: 35548
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
LibreCat
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
2022 | Journal Article | LibreCat-ID: 35532
Nonnegative solutions to a doubly degenerate nutrient taxis system
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
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G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
2021 | Journal Article | LibreCat-ID: 35616
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
LibreCat
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
2021 | Journal Article | LibreCat-ID: 35615
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
2021 | Journal Article | LibreCat-ID: 35614
Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
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M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
2021 | Journal Article | LibreCat-ID: 35617
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
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M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
2021 | Journal Article | LibreCat-ID: 35613
Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
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M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
2021 | Journal Article | LibreCat-ID: 35603
A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
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Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
2021 | Journal Article | LibreCat-ID: 35606
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.
Y. Tao, M. Winkler, Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
LibreCat
Y. Tao, M. Winkler, Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
2021 | Journal Article | LibreCat-ID: 35612
Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.
Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
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Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
2021 | Journal Article | LibreCat-ID: 35601
Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.
M. Ding, M. Winkler, Nonlinear Differential Equatiions and Applicatiions 28 (2021).
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M. Ding, M. Winkler, Nonlinear Differential Equatiions and Applicatiions 28 (2021).
2021 | Journal Article | LibreCat-ID: 35605
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.
Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
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Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
2021 | Journal Article | LibreCat-ID: 35604
Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 53 (2021) 1411–1433.
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Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 53 (2021) 1411–1433.
2021 | Journal Article | LibreCat-ID: 35610
Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
2021 | Journal Article | LibreCat-ID: 35611
Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation
Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
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Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
2021 | Journal Article | LibreCat-ID: 35608
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems 41 (2021) 439–454.
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Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems 41 (2021) 439–454.
2020 | Journal Article | LibreCat-ID: 37373
Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system
M. Winkler, Nonlinearity 33 (2020) 5007–5048.
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M. Winkler, Nonlinearity 33 (2020) 5007–5048.
2020 | Journal Article | LibreCat-ID: 37380
Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
2020 | Journal Article | LibreCat-ID: 37367
Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?
M. Winkler, Nonlinearity 33 (2020) 6590–6623.
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M. Winkler, Nonlinearity 33 (2020) 6590–6623.
2020 | Journal Article | LibreCat-ID: 37364
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.
M. Winkler, Advances in Nonlinear Analysis 9 (2020) 526–566.
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M. Winkler, Advances in Nonlinear Analysis 9 (2020) 526–566.
2020 | Journal Article | LibreCat-ID: 37375
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.
M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
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M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
2020 | Journal Article | LibreCat-ID: 37355
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.
M. Winkler, SIAM Journal on Mathematical Analysis 52 (2020) 2041–2080.
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M. Winkler, SIAM Journal on Mathematical Analysis 52 (2020) 2041–2080.
2020 | Journal Article | LibreCat-ID: 37377
Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?
M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.
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M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.
2020 | Journal Article | LibreCat-ID: 37357
Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.
M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
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M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
2020 | Journal Article | LibreCat-ID: 37347
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.
N. Rodriguez, M. Winkler, Mathematical Models & Methods in Applied Sciences 30 (2020) 2105–2137.
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N. Rodriguez, M. Winkler, Mathematical Models & Methods in Applied Sciences 30 (2020) 2105–2137.
2020 | Journal Article | LibreCat-ID: 37342
Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.
G. Li, Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems --B 25 (2020) 4383–4398.
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G. Li, Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems --B 25 (2020) 4383–4398.
2020 | Journal Article | LibreCat-ID: 37354
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.
Y. Tao, M. Winkler, Journal of Differential Equations 268 (2020) 4973–4997.
LibreCat
Y. Tao, M. Winkler, Journal of Differential Equations 268 (2020) 4973–4997.
2020 | Journal Article | LibreCat-ID: 37351
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.
Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
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Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
2020 | Journal Article | LibreCat-ID: 37349
Refined regularity and stabilization properties in a degenerate haptotaxis system
C. Stinner, M. Winkler, Discrete and Continuous Dynamical Systems --A 40 (2020) 4039–4058.
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C. Stinner, M. Winkler, Discrete and Continuous Dynamical Systems --A 40 (2020) 4039–4058.
2020 | Journal Article | LibreCat-ID: 37339
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow
E. Steiner, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.
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E. Steiner, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.