Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

142 Publications

Mark all

[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).
LibreCat | DOI
 
[140]
2025 | Journal Article | LibreCat-ID: 63249
Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities
M. Winkler, Journal of Evolution Equations 25 (2025).
LibreCat | DOI
 
[139]
2025 | Journal Article | LibreCat-ID: 63246
Rough solutions in one-dimensional nonlinear thermoelasticity
M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).
LibreCat | DOI
 
[138]
2025 | Journal Article | LibreCat-ID: 63244
Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system
M. Winkler, Journal of the European Mathematical Society (2025).
LibreCat | DOI
 
[137]
2025 | Journal Article | LibreCat-ID: 63247
A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239.
LibreCat | DOI
 
[136]
2025 | Journal Article | LibreCat-ID: 63252
A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production
Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.
LibreCat | DOI
 
[135]
2025 | Journal Article | LibreCat-ID: 63344
Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters
M. Winkler, Applied Mathematics & Optimization 91 (2025).
LibreCat | DOI
 
[134]
2025 | Journal Article | LibreCat-ID: 63242
Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation
C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063.
LibreCat | DOI
 
[133]
2025 | Journal Article | LibreCat-ID: 63164
Effects of degeneracies in taxis-driven evolution
M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.
LibreCat | DOI
 
[132]
2024 | Journal Article | LibreCat-ID: 63264
A degenerate migration-consumption model in domains of arbitrary dimension
M. Winkler, Advanced Nonlinear Studies 24 (2024) 592–615.
LibreCat | DOI
 
[131]
2024 | Journal Article | LibreCat-ID: 63248
Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system
M. Winkler, Mathematische Annalen 391 (2024) 3023–3054.
LibreCat | DOI
 
[130]
2024 | Journal Article | LibreCat-ID: 63245
Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 42 (2024) 1601–1630.
LibreCat | DOI
 
[129]
2024 | Journal Article | LibreCat-ID: 63257
A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects
C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).
LibreCat | DOI
 
[128]
2024 | Journal Article | LibreCat-ID: 63253
Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture
M. Ding, M. Winkler, Nonlinearity 37 (2024).
LibreCat | DOI
 
[127]
2024 | Journal Article | LibreCat-ID: 63254
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing
M. Fuest, M. Winkler, Journal of Mathematical Fluid Mechanics 26 (2024).
LibreCat | DOI
 
[126]
2024 | Journal Article | LibreCat-ID: 63259
An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system
Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).
LibreCat | DOI
 
[125]
2024 | Journal Article | LibreCat-ID: 63258
Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor
Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.
LibreCat | DOI
 
[124]
2024 | Journal Article | LibreCat-ID: 63256
L∞ blow-up in the Jordan–Moore–Gibson–Thompson equation
V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
LibreCat | DOI
 
[123]
2024 | Journal Article | LibreCat-ID: 63260
A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities
Y. Wang, M. Winkler, Mathematische Nachrichten 297 (2024) 2353–2364.
LibreCat | DOI
 
[122]
2024 | Journal Article | LibreCat-ID: 63262
Complete infinite-time mass aggregation in a quasilinear Keller–Segel system
M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.
LibreCat | DOI
 
[121]
2024 | Journal Article | LibreCat-ID: 63263
L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux
M. Winkler, Journal of Differential Equations 400 (2024) 423–456.
LibreCat | DOI
 
[120]
2023 | Journal Article | LibreCat-ID: 63285
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing
M. Winkler, Advances in Differential Equations 28 (2023).
LibreCat | DOI
 
[119]
2023 | Journal Article | LibreCat-ID: 63288
Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type
M. Winkler, Open Mathematics 21 (2023).
LibreCat | DOI
 
[118]
2023 | Journal Article | LibreCat-ID: 63287
Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity
M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
LibreCat | DOI
 
[117]
2023 | Journal Article | LibreCat-ID: 63289
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
LibreCat | DOI
 
[116]
2023 | Journal Article | LibreCat-ID: 63271
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.
LibreCat | DOI
 
[115]
2023 | Journal Article | LibreCat-ID: 63267
A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system
J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).
LibreCat | DOI
 
[114]
2023 | Journal Article | LibreCat-ID: 63270
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
LibreCat | DOI
 
[113]
2023 | Journal Article | LibreCat-ID: 63273
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).
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[112]
2023 | Journal Article | LibreCat-ID: 63281
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction
M. Winkler, Nonlinearity 36 (2023) 4438–4469.
LibreCat | DOI
 
[111]
2023 | Journal Article | LibreCat-ID: 63276
Keller–Segel–Stokes interaction involving signal‐dependent motilities
Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.
LibreCat | DOI
 
[110]
2023 | Journal Article | LibreCat-ID: 63275
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities
Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
LibreCat | DOI
 
[109]
2023 | Journal Article | LibreCat-ID: 63277
Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities
K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
LibreCat | DOI
 
[108]
2023 | Journal Article | LibreCat-ID: 63283
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 74 (2023).
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
LibreCat | DOI
 
[106]
2023 | Journal Article | LibreCat-ID: 63261
A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 41 (2023) 95–127.
LibreCat | DOI
 
[105]
2023 | Journal Article | LibreCat-ID: 53338
Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
LibreCat | DOI
 
[104]
2023 | Journal Article | LibreCat-ID: 63243
Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$
F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2023).
LibreCat | DOI
 
[103]
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.
LibreCat
 
[102]
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
 
[101]
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.
LibreCat
 
[100]
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.
LibreCat
 
[99]
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.
LibreCat
 
[98]
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.
LibreCat
 
[97]
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.
LibreCat
 
[96]
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.
LibreCat
 
[95]
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.
LibreCat
 
[94]
2022 | Journal Article | LibreCat-ID: 63310
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.
LibreCat | DOI
 
[93]
2022 | Journal Article | LibreCat-ID: 63305
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 | DOI
 
[92]
2022 | Journal Article | LibreCat-ID: 63311
Oscillatory decay in a degenerate parabolic equation
M. Winkler, Partial Differential Equations and Applications 3 (2022).
LibreCat | DOI
 
[91]
2022 | Journal Article | LibreCat-ID: 63312
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
M. Winkler, Discrete and Continuous Dynamical Systems - B 27 (2022).
LibreCat | DOI
 
[90]
2022 | Journal Article | LibreCat-ID: 63309
A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 63306
A critical blow-up exponent for flux limiation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 71 (2022) 1437–1465.
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 63284
Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
M. Winkler, Bulletin of Mathematical Sciences 13 (2022).
LibreCat | DOI
 
[87]
2022 | Journal Article | LibreCat-ID: 63286
Exponential grow-up rates in a quasilinear Keller–Segel system
M. Winkler, Asymptotic Analysis 131 (2022) 33–57.
LibreCat | DOI
 
[86]
2022 | Journal Article | LibreCat-ID: 63293
Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022).
LibreCat | DOI
 
[85]
2022 | Journal Article | LibreCat-ID: 63290
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 713–792.
LibreCat | DOI
 
[84]
2022 | Journal Article | LibreCat-ID: 63295
Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
LibreCat | DOI
 
[83]
2022 | Journal Article | LibreCat-ID: 63299
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 | DOI
 
[82]
2022 | Journal Article | LibreCat-ID: 63298
Taxis-driven persistent localization in a degenerate Keller-Segel system
A. Stevens, M. Winkler, Communications in Partial Differential Equations 47 (2022) 2341–2362.
LibreCat | DOI
 
[81]
2022 | Journal Article | LibreCat-ID: 63266
Slow Grow-up in a Quasilinear Keller–Segel System
M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.
LibreCat | DOI
 
[80]
2022 | Journal Article | LibreCat-ID: 63272
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
LibreCat | DOI
 
[79]
2022 | Journal Article | LibreCat-ID: 63268
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).
LibreCat | DOI
 
[78]
2022 | Journal Article | LibreCat-ID: 63278
A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System
M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.
LibreCat | DOI
 
[77]
2022 | Journal Article | LibreCat-ID: 63279
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?
M. Winkler, Journal of the European Mathematical Society 25 (2022) 1423–1456.
LibreCat | DOI
 
[76]
2022 | Journal Article | LibreCat-ID: 63274
Finite-time blow-up in a repulsive chemotaxis-consumption system
Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.
LibreCat | DOI
 
[75]
2022 | Journal Article | LibreCat-ID: 63282
Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
M. Winkler, Communications in Contemporary Mathematics 25 (2022).
LibreCat | DOI
 
[74]
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
 
[73]
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.
LibreCat
 
[72]
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.
LibreCat
 
[71]
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.
LibreCat
 
[70]
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).
LibreCat
 
[69]
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.
LibreCat
 
[68]
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.
LibreCat
 
[67]
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
 
[66]
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.
LibreCat
 
[65]
2021 | Journal Article | LibreCat-ID: 63313
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities
M. Ding, M. Winkler, Nonlinear Differential Equations and Applications NoDEA 28 (2021).
LibreCat | DOI
 
[64]
2021 | Journal Article | LibreCat-ID: 63308
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2021).
LibreCat | DOI
 
[63]
2021 | Journal Article | LibreCat-ID: 63307
Unlimited growth in logarithmic Keller-Segel systems
M. Winkler, Journal of Differential Equations 309 (2021) 74–97.
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[62]
2021 | Journal Article | LibreCat-ID: 63316
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.
LibreCat | DOI
 
[61]
2021 | Journal Article | LibreCat-ID: 63319
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis
Y. Tao, M. Winkler, Nonlinear Analysis 208 (2021).
LibreCat | DOI
 
[60]
2021 | Journal Article | LibreCat-ID: 63291
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 (2021) 137–173.
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
N. RODRIGUEZ, M. Winkler, European Journal of Applied Mathematics 33 (2021) 919–959.
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation
M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021) 141–172.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
Y. Wang, M. Winkler, Z. Xiang, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021).
LibreCat | DOI
 
[56]
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.
LibreCat
 
[55]
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
 
[54]
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.
LibreCat
 
[53]
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.
LibreCat
 
[52]
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.
LibreCat
 
[51]
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.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions
M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
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.
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow
S. Evje, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences 30 (2020) 2105–2137.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Large 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) 4383–4396.
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
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 (2020).
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity
M. Winkler, Applied Mathematics Letters 112 (2020).
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Y. Tao, M. Winkler, Discrete & Continuous Dynamical Systems - A 41 (2020) 439–454.
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
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.
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
A critical virus production rate for efficiency of oncolytic virotherapy
Y. TAO, M. Winkler, European Journal of Applied Mathematics 32 (2020) 301–316.
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
C. SURULESCU, M. Winkler, European Journal of Applied Mathematics 32 (2020) 618–651.
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Approaching Critical Decay in a Strongly Degenerate Parabolic Equation
M. Winkler, Journal of Dynamics and Differential Equations 36 (2020) 3–23.
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
M. Winkler, International Mathematics Research Notices 2021 (2019) 8106–8152.
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1
M. Winkler, Advances in Nonlinear Analysis 9 (2019) 526–566.
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
Y. Tao, M. Winkler, Journal of Differential Equations 268 (2019) 4973–4997.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
N. Bellomo, K.J. Painter, Y. Tao, M. Winkler, SIAM Journal on Applied Mathematics 79 (2019) 1990–2010.
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Boundedness and stabilization in a population model with cross‐diffusion for one species
Y. Tao, M. Winkler, Proceedings of the London Mathematical Society 119 (2019) 1598–1632.
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 2151–2182.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory
J. Lankeit, M. Winkler, Israel Journal of Mathematics 233 (2019) 249–296.
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production
Y. Tao, M. Winkler, Communications on Pure & Applied Analysis 18 (2019) 2047–2067.
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension
Y. Tao, M. Winkler, Journal of Differential Equations 267 (2019) 388–406.
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Facing Low Regularity in Chemotaxis Systems
J. Lankeit, M. Winkler, Jahresbericht Der Deutschen Mathematiker-Vereinigung 122 (2019) 35–64.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Migration-driven benefit in a two-species nutrient taxis system
P. Krzyżanowski, M. Winkler, D. Wrzosek, Nonlinear Analysis: Real World Applications 48 (2019) 94–116.
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 36 (2019) 1747–1790.
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 373–418.
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Instantaneous regularization of distributions from(C0)⋆×L2in the one-dimensional parabolic Keller–Segel system
M. Winkler, Nonlinear Analysis 183 (2019) 102–116.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
The fast signal diffusion limit in Keller–Segel(-fluid) systems
Y. Wang, M. Winkler, Z. Xiang, Calculus of Variations and Partial Differential Equations 58 (2019).
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
How strong singularities can be regularized by logistic degradation in the Keller–Segel system?
M. Winkler, Annali Di Matematica Pura Ed Applicata (1923 -) 198 (2019) 1615–1637.
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?
M. Winkler, Nonlinear Differential Equations and Applications NoDEA 26 (2019).
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3
P. Souplet, M. Winkler, Communications in Mathematical Physics 367 (2018) 665–681.
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
M. Winkler, Mathematische Annalen 373 (2018) 1237–1282.
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities
M. Winkler, Journal of Differential Equations 266 (2018) 8034–8066.
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization
M. Winkler, Journal of Functional Analysis 276 (2018) 1339–1401.
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains
X. Cao, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148 (2018) 939–955.
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity
M. Winkler, Acta Applicandae Mathematicae 163 (2018) 1–17.
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
E. Espejo, M. Winkler, Nonlinearity 31 (2018) 1227–1259.
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 69 (2018).
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?
M. Winkler, Journal of Mathematical Fluid Mechanics 20 (2018) 1889–1909.
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
M. Winkler, Journal of Evolution Equations 18 (2018) 1267–1289.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
M. Winkler, Journal of Differential Equations 264 (2018) 6109–6151.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
A critical blow-up exponent in a chemotaxis system with nonlinear signal production
M. Winkler, Nonlinearity 31 (2018) 2031–2056.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Stabilization in the logarithmic Keller–Segel system
M. Winkler, T. Yokota, Nonlinear Analysis 170 (2018) 123–141.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
Global solvability and explicit bounds for non-local adhesion models
T. HILLEN, K.J. PAINTER, M. Winkler, European Journal of Applied Mathematics 29 (2017) 645–684.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system
Y. Wang, M. Winkler, Z. Xiang, Mathematische Zeitschrift 289 (2017) 71–108.
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
M. Winkler, Journal de Mathématiques Pures et Appliquées 112 (2017) 118–169.
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity
M. Winkler, Journal of Dynamics and Differential Equations 30 (2017) 331–358.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption
M. Winkler, Journal of Differential Equations 264 (2017) 2310–2350.
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Finite-time blow-up in a degenerate chemotaxis system with flux limitation
N. Bellomo, M. Winkler, Transactions of the American Mathematical Society, Series B 4 (2017) 31–67.
LibreCat | DOI
 
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[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).
LibreCat | DOI
 
[140]
2025 | Journal Article | LibreCat-ID: 63249
Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities
M. Winkler, Journal of Evolution Equations 25 (2025).
LibreCat | DOI
 
[139]
2025 | Journal Article | LibreCat-ID: 63246
Rough solutions in one-dimensional nonlinear thermoelasticity
M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).
LibreCat | DOI
 
[138]
2025 | Journal Article | LibreCat-ID: 63244
Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system
M. Winkler, Journal of the European Mathematical Society (2025).
LibreCat | DOI
 
[137]
2025 | Journal Article | LibreCat-ID: 63247
A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239.
LibreCat | DOI
 
[136]
2025 | Journal Article | LibreCat-ID: 63252
A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production
Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.
LibreCat | DOI
 
[135]
2025 | Journal Article | LibreCat-ID: 63344
Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters
M. Winkler, Applied Mathematics & Optimization 91 (2025).
LibreCat | DOI
 
[134]
2025 | Journal Article | LibreCat-ID: 63242
Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation
C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063.
LibreCat | DOI
 
[133]
2025 | Journal Article | LibreCat-ID: 63164
Effects of degeneracies in taxis-driven evolution
M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.
LibreCat | DOI
 
[132]
2024 | Journal Article | LibreCat-ID: 63264
A degenerate migration-consumption model in domains of arbitrary dimension
M. Winkler, Advanced Nonlinear Studies 24 (2024) 592–615.
LibreCat | DOI
 
[131]
2024 | Journal Article | LibreCat-ID: 63248
Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system
M. Winkler, Mathematische Annalen 391 (2024) 3023–3054.
LibreCat | DOI
 
[130]
2024 | Journal Article | LibreCat-ID: 63245
Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 42 (2024) 1601–1630.
LibreCat | DOI
 
[129]
2024 | Journal Article | LibreCat-ID: 63257
A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects
C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).
LibreCat | DOI
 
[128]
2024 | Journal Article | LibreCat-ID: 63253
Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture
M. Ding, M. Winkler, Nonlinearity 37 (2024).
LibreCat | DOI
 
[127]
2024 | Journal Article | LibreCat-ID: 63254
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing
M. Fuest, M. Winkler, Journal of Mathematical Fluid Mechanics 26 (2024).
LibreCat | DOI
 
[126]
2024 | Journal Article | LibreCat-ID: 63259
An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system
Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).
LibreCat | DOI
 
[125]
2024 | Journal Article | LibreCat-ID: 63258
Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor
Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.
LibreCat | DOI
 
[124]
2024 | Journal Article | LibreCat-ID: 63256
L∞ blow-up in the Jordan–Moore–Gibson–Thompson equation
V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
LibreCat | DOI
 
[123]
2024 | Journal Article | LibreCat-ID: 63260
A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities
Y. Wang, M. Winkler, Mathematische Nachrichten 297 (2024) 2353–2364.
LibreCat | DOI
 
[122]
2024 | Journal Article | LibreCat-ID: 63262
Complete infinite-time mass aggregation in a quasilinear Keller–Segel system
M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.
LibreCat | DOI
 
[121]
2024 | Journal Article | LibreCat-ID: 63263
L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux
M. Winkler, Journal of Differential Equations 400 (2024) 423–456.
LibreCat | DOI
 
[120]
2023 | Journal Article | LibreCat-ID: 63285
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing
M. Winkler, Advances in Differential Equations 28 (2023).
LibreCat | DOI
 
[119]
2023 | Journal Article | LibreCat-ID: 63288
Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type
M. Winkler, Open Mathematics 21 (2023).
LibreCat | DOI
 
[118]
2023 | Journal Article | LibreCat-ID: 63287
Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity
M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
LibreCat | DOI
 
[117]
2023 | Journal Article | LibreCat-ID: 63289
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
LibreCat | DOI
 
[116]
2023 | Journal Article | LibreCat-ID: 63271
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.
LibreCat | DOI
 
[115]
2023 | Journal Article | LibreCat-ID: 63267
A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system
J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).
LibreCat | DOI
 
[114]
2023 | Journal Article | LibreCat-ID: 63270
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
LibreCat | DOI
 
[113]
2023 | Journal Article | LibreCat-ID: 63273
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).
LibreCat | DOI
 
[112]
2023 | Journal Article | LibreCat-ID: 63281
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction
M. Winkler, Nonlinearity 36 (2023) 4438–4469.
LibreCat | DOI
 
[111]
2023 | Journal Article | LibreCat-ID: 63276
Keller–Segel–Stokes interaction involving signal‐dependent motilities
Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.
LibreCat | DOI
 
[110]
2023 | Journal Article | LibreCat-ID: 63275
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities
Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
LibreCat | DOI
 
[109]
2023 | Journal Article | LibreCat-ID: 63277
Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities
K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
LibreCat | DOI
 
[108]
2023 | Journal Article | LibreCat-ID: 63283
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 74 (2023).
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
LibreCat | DOI
 
[106]
2023 | Journal Article | LibreCat-ID: 63261
A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 41 (2023) 95–127.
LibreCat | DOI
 
[105]
2023 | Journal Article | LibreCat-ID: 53338
Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
LibreCat | DOI
 
[104]
2023 | Journal Article | LibreCat-ID: 63243
Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$
F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2023).
LibreCat | DOI
 
[103]
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.
LibreCat
 
[102]
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
 
[101]
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.
LibreCat
 
[100]
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.
LibreCat
 
[99]
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.
LibreCat
 
[98]
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.
LibreCat
 
[97]
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.
LibreCat
 
[96]
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.
LibreCat
 
[95]
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.
LibreCat
 
[94]
2022 | Journal Article | LibreCat-ID: 63310
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.
LibreCat | DOI
 
[93]
2022 | Journal Article | LibreCat-ID: 63305
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 | DOI
 
[92]
2022 | Journal Article | LibreCat-ID: 63311
Oscillatory decay in a degenerate parabolic equation
M. Winkler, Partial Differential Equations and Applications 3 (2022).
LibreCat | DOI
 
[91]
2022 | Journal Article | LibreCat-ID: 63312
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
M. Winkler, Discrete and Continuous Dynamical Systems - B 27 (2022).
LibreCat | DOI
 
[90]
2022 | Journal Article | LibreCat-ID: 63309
A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 63306
A critical blow-up exponent for flux limiation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 71 (2022) 1437–1465.
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 63284
Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
M. Winkler, Bulletin of Mathematical Sciences 13 (2022).
LibreCat | DOI
 
[87]
2022 | Journal Article | LibreCat-ID: 63286
Exponential grow-up rates in a quasilinear Keller–Segel system
M. Winkler, Asymptotic Analysis 131 (2022) 33–57.
LibreCat | DOI
 
[86]
2022 | Journal Article | LibreCat-ID: 63293
Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022).
LibreCat | DOI
 
[85]
2022 | Journal Article | LibreCat-ID: 63290
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 713–792.
LibreCat | DOI
 
[84]
2022 | Journal Article | LibreCat-ID: 63295
Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
LibreCat | DOI
 
[83]
2022 | Journal Article | LibreCat-ID: 63299
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 | DOI
 
[82]
2022 | Journal Article | LibreCat-ID: 63298
Taxis-driven persistent localization in a degenerate Keller-Segel system
A. Stevens, M. Winkler, Communications in Partial Differential Equations 47 (2022) 2341–2362.
LibreCat | DOI
 
[81]
2022 | Journal Article | LibreCat-ID: 63266
Slow Grow-up in a Quasilinear Keller–Segel System
M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.
LibreCat | DOI
 
[80]
2022 | Journal Article | LibreCat-ID: 63272
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
LibreCat | DOI
 
[79]
2022 | Journal Article | LibreCat-ID: 63268
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).
LibreCat | DOI
 
[78]
2022 | Journal Article | LibreCat-ID: 63278
A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System
M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.
LibreCat | DOI
 
[77]
2022 | Journal Article | LibreCat-ID: 63279
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?
M. Winkler, Journal of the European Mathematical Society 25 (2022) 1423–1456.
LibreCat | DOI
 
[76]
2022 | Journal Article | LibreCat-ID: 63274
Finite-time blow-up in a repulsive chemotaxis-consumption system
Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.
LibreCat | DOI
 
[75]
2022 | Journal Article | LibreCat-ID: 63282
Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
M. Winkler, Communications in Contemporary Mathematics 25 (2022).
LibreCat | DOI
 
[74]
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
 
[73]
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.
LibreCat
 
[72]
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.
LibreCat
 
[71]
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.
LibreCat
 
[70]
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).
LibreCat
 
[69]
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.
LibreCat
 
[68]
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.
LibreCat
 
[67]
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
 
[66]
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.
LibreCat
 
[65]
2021 | Journal Article | LibreCat-ID: 63313
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities
M. Ding, M. Winkler, Nonlinear Differential Equations and Applications NoDEA 28 (2021).
LibreCat | DOI
 
[64]
2021 | Journal Article | LibreCat-ID: 63308
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2021).
LibreCat | DOI
 
[63]
2021 | Journal Article | LibreCat-ID: 63307
Unlimited growth in logarithmic Keller-Segel systems
M. Winkler, Journal of Differential Equations 309 (2021) 74–97.
LibreCat | DOI
 
[62]
2021 | Journal Article | LibreCat-ID: 63316
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.
LibreCat | DOI
 
[61]
2021 | Journal Article | LibreCat-ID: 63319
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis
Y. Tao, M. Winkler, Nonlinear Analysis 208 (2021).
LibreCat | DOI
 
[60]
2021 | Journal Article | LibreCat-ID: 63291
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 (2021) 137–173.
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
N. RODRIGUEZ, M. Winkler, European Journal of Applied Mathematics 33 (2021) 919–959.
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation
M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021) 141–172.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
Y. Wang, M. Winkler, Z. Xiang, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021).
LibreCat | DOI
 
[56]
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.
LibreCat
 
[55]
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
 
[54]
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.
LibreCat
 
[53]
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.
LibreCat
 
[52]
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.
LibreCat
 
[51]
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.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions
M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
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.
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow
S. Evje, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences 30 (2020) 2105–2137.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Large 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) 4383–4396.
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
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 (2020).
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity
M. Winkler, Applied Mathematics Letters 112 (2020).
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Y. Tao, M. Winkler, Discrete & Continuous Dynamical Systems - A 41 (2020) 439–454.
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
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.
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
A critical virus production rate for efficiency of oncolytic virotherapy
Y. TAO, M. Winkler, European Journal of Applied Mathematics 32 (2020) 301–316.
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
C. SURULESCU, M. Winkler, European Journal of Applied Mathematics 32 (2020) 618–651.
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Approaching Critical Decay in a Strongly Degenerate Parabolic Equation
M. Winkler, Journal of Dynamics and Differential Equations 36 (2020) 3–23.
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
M. Winkler, International Mathematics Research Notices 2021 (2019) 8106–8152.
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1
M. Winkler, Advances in Nonlinear Analysis 9 (2019) 526–566.
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
Y. Tao, M. Winkler, Journal of Differential Equations 268 (2019) 4973–4997.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
N. Bellomo, K.J. Painter, Y. Tao, M. Winkler, SIAM Journal on Applied Mathematics 79 (2019) 1990–2010.
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Boundedness and stabilization in a population model with cross‐diffusion for one species
Y. Tao, M. Winkler, Proceedings of the London Mathematical Society 119 (2019) 1598–1632.
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 2151–2182.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory
J. Lankeit, M. Winkler, Israel Journal of Mathematics 233 (2019) 249–296.
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production
Y. Tao, M. Winkler, Communications on Pure & Applied Analysis 18 (2019) 2047–2067.
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension
Y. Tao, M. Winkler, Journal of Differential Equations 267 (2019) 388–406.
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Facing Low Regularity in Chemotaxis Systems
J. Lankeit, M. Winkler, Jahresbericht Der Deutschen Mathematiker-Vereinigung 122 (2019) 35–64.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Migration-driven benefit in a two-species nutrient taxis system
P. Krzyżanowski, M. Winkler, D. Wrzosek, Nonlinear Analysis: Real World Applications 48 (2019) 94–116.
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 36 (2019) 1747–1790.
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 373–418.
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Instantaneous regularization of distributions from(C0)⋆×L2in the one-dimensional parabolic Keller–Segel system
M. Winkler, Nonlinear Analysis 183 (2019) 102–116.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
The fast signal diffusion limit in Keller–Segel(-fluid) systems
Y. Wang, M. Winkler, Z. Xiang, Calculus of Variations and Partial Differential Equations 58 (2019).
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
How strong singularities can be regularized by logistic degradation in the Keller–Segel system?
M. Winkler, Annali Di Matematica Pura Ed Applicata (1923 -) 198 (2019) 1615–1637.
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?
M. Winkler, Nonlinear Differential Equations and Applications NoDEA 26 (2019).
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3
P. Souplet, M. Winkler, Communications in Mathematical Physics 367 (2018) 665–681.
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
M. Winkler, Mathematische Annalen 373 (2018) 1237–1282.
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities
M. Winkler, Journal of Differential Equations 266 (2018) 8034–8066.
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization
M. Winkler, Journal of Functional Analysis 276 (2018) 1339–1401.
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains
X. Cao, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148 (2018) 939–955.
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity
M. Winkler, Acta Applicandae Mathematicae 163 (2018) 1–17.
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
E. Espejo, M. Winkler, Nonlinearity 31 (2018) 1227–1259.
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 69 (2018).
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?
M. Winkler, Journal of Mathematical Fluid Mechanics 20 (2018) 1889–1909.
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
M. Winkler, Journal of Evolution Equations 18 (2018) 1267–1289.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
M. Winkler, Journal of Differential Equations 264 (2018) 6109–6151.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
A critical blow-up exponent in a chemotaxis system with nonlinear signal production
M. Winkler, Nonlinearity 31 (2018) 2031–2056.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Stabilization in the logarithmic Keller–Segel system
M. Winkler, T. Yokota, Nonlinear Analysis 170 (2018) 123–141.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
Global solvability and explicit bounds for non-local adhesion models
T. HILLEN, K.J. PAINTER, M. Winkler, European Journal of Applied Mathematics 29 (2017) 645–684.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system
Y. Wang, M. Winkler, Z. Xiang, Mathematische Zeitschrift 289 (2017) 71–108.
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
M. Winkler, Journal de Mathématiques Pures et Appliquées 112 (2017) 118–169.
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity
M. Winkler, Journal of Dynamics and Differential Equations 30 (2017) 331–358.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption
M. Winkler, Journal of Differential Equations 264 (2017) 2310–2350.
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Finite-time blow-up in a degenerate chemotaxis system with flux limitation
N. Bellomo, M. Winkler, Transactions of the American Mathematical Society, Series B 4 (2017) 31–67.
LibreCat | DOI
 
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