142 Publications
2025 | Journal Article | LibreCat-ID: 54837 | 
Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447
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| arXiv
2025 | Journal Article | LibreCat-ID: 63250
Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift für angewandte Mathematik und Physik. 2025;76(5). doi:10.1007/s00033-025-02582-y
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2025 | Journal Article | LibreCat-ID: 63249
Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations. 2025;25(4). doi:10.1007/s00028-025-01144-z
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2025 | Journal Article | LibreCat-ID: 63246
Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations. 2025;65(1). doi:10.1007/s00526-025-03170-8
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2025 | Journal Article | LibreCat-ID: 63244
Winkler M. Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. Published online 2025. doi:10.4171/jems/1607
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2025 | Journal Article | LibreCat-ID: 63247
Tao Y, Winkler M. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations. 2025;423:197-239. doi:10.1016/j.jde.2024.12.040
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2025 | Journal Article | LibreCat-ID: 63252
Tao Y, Winkler M. A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics. 2025;68(12):2867-2900. doi:10.1007/s11425-023-2397-y
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2025 | Journal Article | LibreCat-ID: 63344
Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9
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2025 | Journal Article | LibreCat-ID: 63242
Hanfland C, Winkler M. Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations. 2025;11(3):2041-2063. doi:10.1007/s41808-025-00316-9
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2025 | Journal Article | LibreCat-ID: 63164
Winkler M. Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences. 2025;35(02):283-343. doi:10.1142/s0218202525400020
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2024 | Journal Article | LibreCat-ID: 63264
Winkler M. A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies. 2024;24(3):592-615. doi:10.1515/ans-2023-0131
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2024 | Journal Article | LibreCat-ID: 63248
Winkler M. Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen. 2024;391(2):3023-3054. doi:10.1007/s00208-024-02987-6
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2024 | Journal Article | LibreCat-ID: 63245
Winkler M. Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2024;42(6):1601-1630. doi:10.4171/aihpc/141
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2024 | Journal Article | LibreCat-ID: 63257
Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00954-x
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2024 | Journal Article | LibreCat-ID: 63253
Ding M, Winkler M. Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity. 2024;37(12). doi:10.1088/1361-6544/ad871a
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2024 | Journal Article | LibreCat-ID: 63254
Fuest M, Winkler M. Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics. 2024;26(4). doi:10.1007/s00021-024-00899-8
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2024 | Journal Article | LibreCat-ID: 63259
Wang Y, Winkler M. 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. Journal of the London Mathematical Society. 2024;109(3). doi:10.1112/jlms.12885
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2024 | Journal Article | LibreCat-ID: 63258
Tao Y, Winkler M. Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society. 2024;152(10):4325-4341. doi:10.1090/proc/16867
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2024 | Journal Article | LibreCat-ID: 63256
Nikolić V, Winkler M. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si15.svg" display="inline" id="d1e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
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2024 | Journal Article | LibreCat-ID: 63260
Wang Y, Winkler M. A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten. 2024;297(6):2353-2364. doi:10.1002/mana.202300361
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2024 | Journal Article | LibreCat-ID: 63262
Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics. 2024;263(1):93-127. doi:10.1007/s11856-024-2618-9
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2024 | Journal Article | LibreCat-ID: 63263
Winkler M. L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations. 2024;400:423-456. doi:10.1016/j.jde.2024.04.028
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2023 | Journal Article | LibreCat-ID: 63285
Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921
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2023 | Journal Article | LibreCat-ID: 63288
Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics. 2023;21(1). doi:10.1515/math-2022-0578
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2023 | Journal Article | LibreCat-ID: 63287
Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y
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2023 | Journal Article | LibreCat-ID: 63289
Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029
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2023 | Journal Article | LibreCat-ID: 63271
Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences. 2023;33(01):103-138. doi:10.1142/s0218202523500045
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2023 | Journal Article | LibreCat-ID: 63267
Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations. 2023;62(6). doi:10.1007/s00526-023-02523-5
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2023 | Journal Article | LibreCat-ID: 63270
Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences. 2023;21(2):299-322. doi:10.4310/cms.2023.v21.n2.a1
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2023 | Journal Article | LibreCat-ID: 63273
Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications. 2023;71. doi:10.1016/j.nonrwa.2022.103820
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2023 | Journal Article | LibreCat-ID: 63281
Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469. doi:10.1088/1361-6544/ace22e
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2023 | Journal Article | LibreCat-ID: 63276
Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences. 2023;46(14):15667-15683. doi:10.1002/mma.9419
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2023 | Journal Article | LibreCat-ID: 63275
Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory. 2023;12(6):1676-1687. doi:10.3934/eect.2023031
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2023 | Journal Article | LibreCat-ID: 63277
Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics. 2023;83(5):2096-2117. doi:10.1137/22m1539393
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2023 | Journal Article | LibreCat-ID: 63283
Winkler M. Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction. Zeitschrift für angewandte Mathematik und Physik. 2023;74(1). doi:10.1007/s00033-022-01925-3
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2023 | Journal Article | LibreCat-ID: 63255
Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis. 2023;103(1):45-64. doi:10.1080/00036811.2023.2173183
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2023 | Journal Article | LibreCat-ID: 63261
Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2023;41(1):95-127. doi:10.4171/aihpc/73
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2023 | Journal Article | LibreCat-ID: 53338
Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics. 2023;151(4):1197-1229. doi:10.1111/sapm.12625
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2023 | Journal Article | LibreCat-ID: 63243
Colasuonno F, Winkler M. Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2023. doi:10.2422/2036-2145.202303_006
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2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
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2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
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2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.
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2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
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2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
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2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
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2022 | Journal Article | LibreCat-ID: 63310
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22(1):88-117. doi:10.1515/ans-2022-0004
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2022 | Journal Article | LibreCat-ID: 63305
Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-021-02168-2
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2022 | Journal Article | LibreCat-ID: 63311
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3(4). doi:10.1007/s42985-022-00186-z
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2022 | Journal Article | LibreCat-ID: 63312
Winkler M. Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B. 2022;27(11). doi:10.3934/dcdsb.2022009
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2022 | Journal Article | LibreCat-ID: 63309
Winkler M. A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295(9):1840-1862. doi:10.1002/mana.202000403
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2022 | Journal Article | LibreCat-ID: 63306
Winkler M. A critical blow-up exponent for flux limiation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;71(4):1437-1465. doi:10.1512/iumj.2022.71.9042
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2022 | Journal Article | LibreCat-ID: 63284
Winkler M. Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences. 2022;13(02). doi:10.1142/s1664360722500126
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2022 | Journal Article | LibreCat-ID: 63286
Winkler M. Exponential grow-up rates in a quasilinear Keller–Segel system. Asymptotic Analysis. 2022;131(1):33-57. doi:10.3233/asy-221765
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2022 | Journal Article | LibreCat-ID: 63293
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $. Discrete and Continuous Dynamical Systems. 2022;42(11). doi:10.3934/dcds.2022091
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2022 | Journal Article | LibreCat-ID: 63290
Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models and Methods in Applied Sciences. 2022;32(04):713-792. doi:10.1142/s0218202522500166
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2022 | Journal Article | LibreCat-ID: 63295
Lankeit J, Winkler M. Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations. 2022;22(1). doi:10.1007/s00028-022-00768-9
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2022 | Journal Article | LibreCat-ID: 63299
Tao Y, Winkler M. Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. SIAM Journal on Mathematical Analysis. 2022;54(4):4806-4864. doi:10.1137/21m1449841
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2022 | Journal Article | LibreCat-ID: 63298
Stevens A, Winkler M. Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations. 2022;47(12):2341-2362. doi:10.1080/03605302.2022.2122836
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2022 | Journal Article | LibreCat-ID: 63266
Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. 2022;36(2):1677-1702. doi:10.1007/s10884-022-10167-w
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2022 | Journal Article | LibreCat-ID: 63272
Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations. 2022;343:390-418. doi:10.1016/j.jde.2022.10.022
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2022 | Journal Article | LibreCat-ID: 63268
Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis. 2022;226. doi:10.1016/j.na.2022.113153
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2022 | Journal Article | LibreCat-ID: 63278
Winkler M. 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. International Mathematics Research Notices. 2022;2023(19):16336-16393. doi:10.1093/imrn/rnac286
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2022 | Journal Article | LibreCat-ID: 63279
Winkler M. Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society. 2022;25(4):1423-1456. doi:10.4171/jems/1226
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2022 | Journal Article | LibreCat-ID: 63274
Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022;153(4):1150-1166. doi:10.1017/prm.2022.39
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2022 | Journal Article | LibreCat-ID: 63282
Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics. 2022;25(10). doi:10.1142/s0219199722500626
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2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
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2021 | Journal Article | LibreCat-ID: 35614
Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152.
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2021 | Journal Article | LibreCat-ID: 35617
Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
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2021 | Journal Article | LibreCat-ID: 35613
Winkler M. 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. 2021;374:219-268.
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2021 | Journal Article | LibreCat-ID: 35603
Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.
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2021 | Journal Article | LibreCat-ID: 35612
Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746.
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2021 | Journal Article | LibreCat-ID: 35605
Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849.
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2021 | Journal Article | LibreCat-ID: 35610
Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091.
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2021 | Journal Article | LibreCat-ID: 35611
Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731.
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2021 | Journal Article | LibreCat-ID: 63313
Ding M, Winkler M. Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA. 2021;28(5). doi:10.1007/s00030-021-00709-4
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2021 | Journal Article | LibreCat-ID: 63308
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2021;63. doi:10.1016/j.nonrwa.2021.103407
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2021 | Journal Article | LibreCat-ID: 63307
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2021;309:74-97. doi:10.1016/j.jde.2021.11.026
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2021 | Journal Article | LibreCat-ID: 63316
Tao Y, Winkler M. Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis. 2021;53(2):1411-1433. doi:10.1137/20m1362851
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2021 | Journal Article | LibreCat-ID: 63319
Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis. 2021;208. doi:10.1016/j.na.2021.112324
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2021 | Journal Article | LibreCat-ID: 63291
Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2021;32(01):137-173. doi:10.1142/s021820252250004x
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2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ N, Winkler M. On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics. 2021;33(5):919-959. doi:10.1017/s0956792521000279
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2021 | Journal Article | LibreCat-ID: 53333
Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021:141-172. doi:10.2422/2036-2145.202005_016
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2021 | Journal Article | LibreCat-ID: 63373
Wang Y, Winkler M, Xiang Z. Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021. doi:10.2422/2036-2145.201603_004
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2020 | Journal Article | LibreCat-ID: 37373
Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048.
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2020 | Journal Article | LibreCat-ID: 37380
Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71.
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2020 | Journal Article | LibreCat-ID: 37367
Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623.
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2020 | Journal Article | LibreCat-ID: 37375
Winkler M. Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817.
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2020 | Journal Article | LibreCat-ID: 37347
Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137.
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2020 | Journal Article | LibreCat-ID: 37349
Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058.
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2020 | Journal Article | LibreCat-ID: 63340
Winkler M. Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies. 2020;20(4):795-817. doi:10.1515/ans-2020-2107
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2020 | Journal Article | LibreCat-ID: 63342
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169(1):577-591. doi:10.1007/s10440-020-00312-2
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| DOI
2020 | Journal Article | LibreCat-ID: 63336
Winkler M. Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141(2):585-624. doi:10.1007/s11854-020-0109-4
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| DOI
2020 | Journal Article | LibreCat-ID: 63329
Evje S, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30(4):1809-1847. doi:10.1007/s00332-020-09625-w
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences. 2020;30(11):2105-2137. doi:10.1142/s0218202520500396
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63330
Li G, Tao Y, Winkler M. Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B. 2020;25(11):4383-4396. doi:10.3934/dcdsb.2020102
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63327
Winkler M. Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications. 2020;59. doi:10.1016/j.nonrwa.2020.103257
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63333
Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198. doi:10.1016/j.na.2020.111870
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63328
Winkler M. Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2020;112. doi:10.1016/j.aml.2020.106785
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63320
Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete & Continuous Dynamical Systems - A. 2020;41(1):439-454. doi:10.3934/dcds.2020216
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63335
Winkler M. Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis. 2020;52(2):2041-2080. doi:10.1137/19m1264199
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63318
TAO Y, Winkler M. A critical virus production rate for efficiency of oncolytic virotherapy. European Journal of Applied Mathematics. 2020;32(2):301-316. doi:10.1017/s0956792520000133
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU C, Winkler M. 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). European Journal of Applied Mathematics. 2020;32(4):618-651. doi:10.1017/s0956792520000236
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63265
Winkler M. Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. Journal of Dynamics and Differential Equations. 2020;36(S1):3-23. doi:10.1007/s10884-020-09892-x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63325
Winkler M. Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices. 2019;2021(11):8106-8152. doi:10.1093/imrn/rnz056
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63337
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis. 2019;9(1):526-566. doi:10.1515/anona-2020-0013
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2019;268(9):4973-4997. doi:10.1016/j.jde.2019.10.046
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63349
Bellomo N, Painter KJ, Tao Y, Winkler M. Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics. 2019;79(5):1990-2010. doi:10.1137/19m1250261
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63355
Tao Y, Winkler M. Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society. 2019;119(6):1598-1632. doi:10.1112/plms.12276
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63356
Tao Y, Winkler M. Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food. Mathematical Models and Methods in Applied Sciences. 2019;29(11):2151-2182. doi:10.1142/s021820251950043x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63352
Lankeit J, Winkler M. Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics. 2019;233(1):249-296. doi:10.1007/s11856-019-1900-8
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63358
Tao Y, Winkler M. A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production. Communications on Pure & Applied Analysis. 2019;18(4):2047-2067. doi:10.3934/cpaa.2019092
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
Tao Y, Winkler M. Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension. Journal of Differential Equations. 2019;267(1):388-406. doi:10.1016/j.jde.2019.01.014
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63353
Lankeit J, Winkler M. Facing Low Regularity in Chemotaxis Systems. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2019;122(1):35-64. doi:10.1365/s13291-019-00210-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski P, Winkler M, Wrzosek D. Migration-driven benefit in a two-species nutrient taxis system. Nonlinear Analysis: Real World Applications. 2019;48:94-116. doi:10.1016/j.nonrwa.2019.01.006
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63362
Winkler M. Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2019;36(6):1747-1790. doi:10.1016/j.anihpc.2019.02.004
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63363
Winkler M. Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Mathematical Models and Methods in Applied Sciences. 2019;29(03):373-418. doi:10.1142/s021820251950012x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63366
Winkler M. Instantaneous regularization of distributions from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si17.gif"><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>in the one-dimensional parabolic Keller–Segel system. Nonlinear Analysis. 2019;183:102-116. doi:10.1016/j.na.2019.01.017
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63359
Wang Y, Winkler M, Xiang Z. The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations. 2019;58(6). doi:10.1007/s00526-019-1656-3
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
Winkler M. How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali di Matematica Pura ed Applicata (1923 -). 2019;198(5):1615-1637. doi:10.1007/s10231-019-00834-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
Winkler M. 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. 2019;26(6). doi:10.1007/s00030-019-0600-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
Souplet P, Winkler M. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3. Communications in Mathematical Physics. 2018;367(2):665-681. doi:10.1007/s00220-018-3238-1
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
Winkler M. How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen. 2018;373(3-4):1237-1282. doi:10.1007/s00208-018-1722-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
Winkler M. Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. Journal of Differential Equations. 2018;266(12):8034-8066. doi:10.1016/j.jde.2018.12.019
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63360
Winkler M. A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization. Journal of Functional Analysis. 2018;276(5):1339-1401. doi:10.1016/j.jfa.2018.12.009
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63369
Cao X, Winkler M. Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2018;148(5):939-955. doi:10.1017/s0308210518000057
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63368
Winkler M. Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity. Acta Applicandae Mathematicae. 2018;163(1):1-17. doi:10.1007/s10440-018-0211-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
Espejo E, Winkler M. Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization. Nonlinearity. 2018;31(4):1227-1259. doi:10.1088/1361-6544/aa9d5f
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
Winkler M. Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation. Zeitschrift für angewandte Mathematik und Physik. 2018;69(2). doi:10.1007/s00033-018-0935-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63375
Winkler M. Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Journal of Mathematical Fluid Mechanics. 2018;20(4):1889-1909. doi:10.1007/s00021-018-0395-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
Winkler M. Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Journal of Evolution Equations. 2018;18(3):1267-1289. doi:10.1007/s00028-018-0440-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
Winkler M. Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Journal of Differential Equations. 2018;264(10):6109-6151. doi:10.1016/j.jde.2018.01.027
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63376
Winkler M. A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Nonlinearity. 2018;31(5):2031-2056. doi:10.1088/1361-6544/aaaa0e
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
Winkler M, Yokota T. Stabilization in the logarithmic Keller–Segel system. Nonlinear Analysis. 2018;170:123-141. doi:10.1016/j.na.2018.01.002
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63371
HILLEN T, PAINTER KJ, Winkler M. Global solvability and explicit bounds for non-local adhesion models. European Journal of Applied Mathematics. 2017;29(4):645-684. doi:10.1017/s0956792517000328
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63372
Wang Y, Winkler M, Xiang Z. The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system. Mathematische Zeitschrift. 2017;289(1-2):71-108. doi:10.1007/s00209-017-1944-6
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
Winkler M. Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Journal de Mathématiques Pures et Appliquées. 2017;112:118-169. doi:10.1016/j.matpur.2017.11.002
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
Winkler M. One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity. Journal of Dynamics and Differential Equations. 2017;30(1):331-358. doi:10.1007/s10884-017-9577-3
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
Winkler M. Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption. Journal of Differential Equations. 2017;264(3):2310-2350. doi:10.1016/j.jde.2017.10.029
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63383
Bellomo N, Winkler M. Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Transactions of the American Mathematical Society, Series B. 2017;4(2):31-67. doi:10.1090/btran/17
LibreCat
| DOI
142 Publications
2025 | Journal Article | LibreCat-ID: 54837 |
Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447
LibreCat
| DOI
| Download (ext.)
| arXiv
2025 | Journal Article | LibreCat-ID: 63250
Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift für angewandte Mathematik und Physik. 2025;76(5). doi:10.1007/s00033-025-02582-y
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63249
Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations. 2025;25(4). doi:10.1007/s00028-025-01144-z
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63246
Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations. 2025;65(1). doi:10.1007/s00526-025-03170-8
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63244
Winkler M. Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. Published online 2025. doi:10.4171/jems/1607
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63247
Tao Y, Winkler M. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations. 2025;423:197-239. doi:10.1016/j.jde.2024.12.040
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63252
Tao Y, Winkler M. A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics. 2025;68(12):2867-2900. doi:10.1007/s11425-023-2397-y
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63344
Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63242
Hanfland C, Winkler M. Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations. 2025;11(3):2041-2063. doi:10.1007/s41808-025-00316-9
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63164
Winkler M. Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences. 2025;35(02):283-343. doi:10.1142/s0218202525400020
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63264
Winkler M. A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies. 2024;24(3):592-615. doi:10.1515/ans-2023-0131
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63248
Winkler M. Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen. 2024;391(2):3023-3054. doi:10.1007/s00208-024-02987-6
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63245
Winkler M. Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2024;42(6):1601-1630. doi:10.4171/aihpc/141
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63257
Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00954-x
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63253
Ding M, Winkler M. Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity. 2024;37(12). doi:10.1088/1361-6544/ad871a
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63254
Fuest M, Winkler M. Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics. 2024;26(4). doi:10.1007/s00021-024-00899-8
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63259
Wang Y, Winkler M. 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. Journal of the London Mathematical Society. 2024;109(3). doi:10.1112/jlms.12885
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63258
Tao Y, Winkler M. Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society. 2024;152(10):4325-4341. doi:10.1090/proc/16867
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63256
Nikolić V, Winkler M. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si15.svg" display="inline" id="d1e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63260
Wang Y, Winkler M. A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten. 2024;297(6):2353-2364. doi:10.1002/mana.202300361
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63262
Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics. 2024;263(1):93-127. doi:10.1007/s11856-024-2618-9
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63263
Winkler M. L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations. 2024;400:423-456. doi:10.1016/j.jde.2024.04.028
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63285
Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63288
Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics. 2023;21(1). doi:10.1515/math-2022-0578
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63287
Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63289
Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63271
Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences. 2023;33(01):103-138. doi:10.1142/s0218202523500045
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63267
Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations. 2023;62(6). doi:10.1007/s00526-023-02523-5
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63270
Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences. 2023;21(2):299-322. doi:10.4310/cms.2023.v21.n2.a1
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63273
Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications. 2023;71. doi:10.1016/j.nonrwa.2022.103820
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63281
Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469. doi:10.1088/1361-6544/ace22e
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63276
Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences. 2023;46(14):15667-15683. doi:10.1002/mma.9419
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63275
Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory. 2023;12(6):1676-1687. doi:10.3934/eect.2023031
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63277
Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics. 2023;83(5):2096-2117. doi:10.1137/22m1539393
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63283
Winkler M. Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction. Zeitschrift für angewandte Mathematik und Physik. 2023;74(1). doi:10.1007/s00033-022-01925-3
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63255
Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis. 2023;103(1):45-64. doi:10.1080/00036811.2023.2173183
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63261
Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2023;41(1):95-127. doi:10.4171/aihpc/73
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 53338
Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics. 2023;151(4):1197-1229. doi:10.1111/sapm.12625
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63243
Colasuonno F, Winkler M. Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2023. doi:10.2422/2036-2145.202303_006
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
LibreCat
2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
LibreCat
2022 | Journal Article | LibreCat-ID: 63310
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22(1):88-117. doi:10.1515/ans-2022-0004
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63305
Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-021-02168-2
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63311
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3(4). doi:10.1007/s42985-022-00186-z
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63312
Winkler M. Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B. 2022;27(11). doi:10.3934/dcdsb.2022009
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63309
Winkler M. A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295(9):1840-1862. doi:10.1002/mana.202000403
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63306
Winkler M. A critical blow-up exponent for flux limiation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;71(4):1437-1465. doi:10.1512/iumj.2022.71.9042
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63284
Winkler M. Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences. 2022;13(02). doi:10.1142/s1664360722500126
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63286
Winkler M. Exponential grow-up rates in a quasilinear Keller–Segel system. Asymptotic Analysis. 2022;131(1):33-57. doi:10.3233/asy-221765
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63293
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $. Discrete and Continuous Dynamical Systems. 2022;42(11). doi:10.3934/dcds.2022091
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63290
Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models and Methods in Applied Sciences. 2022;32(04):713-792. doi:10.1142/s0218202522500166
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63295
Lankeit J, Winkler M. Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations. 2022;22(1). doi:10.1007/s00028-022-00768-9
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63299
Tao Y, Winkler M. Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. SIAM Journal on Mathematical Analysis. 2022;54(4):4806-4864. doi:10.1137/21m1449841
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63298
Stevens A, Winkler M. Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations. 2022;47(12):2341-2362. doi:10.1080/03605302.2022.2122836
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. 2022;36(2):1677-1702. doi:10.1007/s10884-022-10167-w
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations. 2022;343:390-418. doi:10.1016/j.jde.2022.10.022
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis. 2022;226. doi:10.1016/j.na.2022.113153
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63278
Winkler M. 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. International Mathematics Research Notices. 2022;2023(19):16336-16393. doi:10.1093/imrn/rnac286
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63279
Winkler M. Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society. 2022;25(4):1423-1456. doi:10.4171/jems/1226
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63274
Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022;153(4):1150-1166. doi:10.1017/prm.2022.39
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics. 2022;25(10). doi:10.1142/s0219199722500626
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler M. 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. 2021;374:219-268.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731.
LibreCat
2021 | Journal Article | LibreCat-ID: 63313
Ding M, Winkler M. Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA. 2021;28(5). doi:10.1007/s00030-021-00709-4
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2021;63. doi:10.1016/j.nonrwa.2021.103407
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2021;309:74-97. doi:10.1016/j.jde.2021.11.026
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63316
Tao Y, Winkler M. Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis. 2021;53(2):1411-1433. doi:10.1137/20m1362851
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63319
Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis. 2021;208. doi:10.1016/j.na.2021.112324
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63291
Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2021;32(01):137-173. doi:10.1142/s021820252250004x
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ N, Winkler M. On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics. 2021;33(5):919-959. doi:10.1017/s0956792521000279
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 53333
Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021:141-172. doi:10.2422/2036-2145.202005_016
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63373
Wang Y, Winkler M, Xiang Z. Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021. doi:10.2422/2036-2145.201603_004
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler M. Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 63340
Winkler M. Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies. 2020;20(4):795-817. doi:10.1515/ans-2020-2107
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63342
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169(1):577-591. doi:10.1007/s10440-020-00312-2
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63336
Winkler M. Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141(2):585-624. doi:10.1007/s11854-020-0109-4
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63329
Evje S, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30(4):1809-1847. doi:10.1007/s00332-020-09625-w
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences. 2020;30(11):2105-2137. doi:10.1142/s0218202520500396
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63330
Li G, Tao Y, Winkler M. Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B. 2020;25(11):4383-4396. doi:10.3934/dcdsb.2020102
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63327
Winkler M. Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications. 2020;59. doi:10.1016/j.nonrwa.2020.103257
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63333
Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198. doi:10.1016/j.na.2020.111870
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63328
Winkler M. Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2020;112. doi:10.1016/j.aml.2020.106785
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63320
Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete & Continuous Dynamical Systems - A. 2020;41(1):439-454. doi:10.3934/dcds.2020216
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63335
Winkler M. Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis. 2020;52(2):2041-2080. doi:10.1137/19m1264199
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63318
TAO Y, Winkler M. A critical virus production rate for efficiency of oncolytic virotherapy. European Journal of Applied Mathematics. 2020;32(2):301-316. doi:10.1017/s0956792520000133
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU C, Winkler M. 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). European Journal of Applied Mathematics. 2020;32(4):618-651. doi:10.1017/s0956792520000236
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63265
Winkler M. Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. Journal of Dynamics and Differential Equations. 2020;36(S1):3-23. doi:10.1007/s10884-020-09892-x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63325
Winkler M. Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices. 2019;2021(11):8106-8152. doi:10.1093/imrn/rnz056
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63337
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis. 2019;9(1):526-566. doi:10.1515/anona-2020-0013
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2019;268(9):4973-4997. doi:10.1016/j.jde.2019.10.046
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63349
Bellomo N, Painter KJ, Tao Y, Winkler M. Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics. 2019;79(5):1990-2010. doi:10.1137/19m1250261
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63355
Tao Y, Winkler M. Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society. 2019;119(6):1598-1632. doi:10.1112/plms.12276
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63356
Tao Y, Winkler M. Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food. Mathematical Models and Methods in Applied Sciences. 2019;29(11):2151-2182. doi:10.1142/s021820251950043x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63352
Lankeit J, Winkler M. Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics. 2019;233(1):249-296. doi:10.1007/s11856-019-1900-8
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63358
Tao Y, Winkler M. A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production. Communications on Pure & Applied Analysis. 2019;18(4):2047-2067. doi:10.3934/cpaa.2019092
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
Tao Y, Winkler M. Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension. Journal of Differential Equations. 2019;267(1):388-406. doi:10.1016/j.jde.2019.01.014
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63353
Lankeit J, Winkler M. Facing Low Regularity in Chemotaxis Systems. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2019;122(1):35-64. doi:10.1365/s13291-019-00210-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski P, Winkler M, Wrzosek D. Migration-driven benefit in a two-species nutrient taxis system. Nonlinear Analysis: Real World Applications. 2019;48:94-116. doi:10.1016/j.nonrwa.2019.01.006
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63362
Winkler M. Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2019;36(6):1747-1790. doi:10.1016/j.anihpc.2019.02.004
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63363
Winkler M. Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Mathematical Models and Methods in Applied Sciences. 2019;29(03):373-418. doi:10.1142/s021820251950012x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63366
Winkler M. Instantaneous regularization of distributions from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si17.gif"><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>in the one-dimensional parabolic Keller–Segel system. Nonlinear Analysis. 2019;183:102-116. doi:10.1016/j.na.2019.01.017
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63359
Wang Y, Winkler M, Xiang Z. The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations. 2019;58(6). doi:10.1007/s00526-019-1656-3
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
Winkler M. How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali di Matematica Pura ed Applicata (1923 -). 2019;198(5):1615-1637. doi:10.1007/s10231-019-00834-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
Winkler M. 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. 2019;26(6). doi:10.1007/s00030-019-0600-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
Souplet P, Winkler M. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3. Communications in Mathematical Physics. 2018;367(2):665-681. doi:10.1007/s00220-018-3238-1
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
Winkler M. How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen. 2018;373(3-4):1237-1282. doi:10.1007/s00208-018-1722-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
Winkler M. Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. Journal of Differential Equations. 2018;266(12):8034-8066. doi:10.1016/j.jde.2018.12.019
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63360
Winkler M. A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization. Journal of Functional Analysis. 2018;276(5):1339-1401. doi:10.1016/j.jfa.2018.12.009
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63369
Cao X, Winkler M. Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2018;148(5):939-955. doi:10.1017/s0308210518000057
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63368
Winkler M. Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity. Acta Applicandae Mathematicae. 2018;163(1):1-17. doi:10.1007/s10440-018-0211-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
Espejo E, Winkler M. Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization. Nonlinearity. 2018;31(4):1227-1259. doi:10.1088/1361-6544/aa9d5f
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
Winkler M. Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation. Zeitschrift für angewandte Mathematik und Physik. 2018;69(2). doi:10.1007/s00033-018-0935-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63375
Winkler M. Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Journal of Mathematical Fluid Mechanics. 2018;20(4):1889-1909. doi:10.1007/s00021-018-0395-0
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
Winkler M. Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Journal of Evolution Equations. 2018;18(3):1267-1289. doi:10.1007/s00028-018-0440-8
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
Winkler M. Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Journal of Differential Equations. 2018;264(10):6109-6151. doi:10.1016/j.jde.2018.01.027
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63376
Winkler M. A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Nonlinearity. 2018;31(5):2031-2056. doi:10.1088/1361-6544/aaaa0e
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
Winkler M, Yokota T. Stabilization in the logarithmic Keller–Segel system. Nonlinear Analysis. 2018;170:123-141. doi:10.1016/j.na.2018.01.002
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63371
HILLEN T, PAINTER KJ, Winkler M. Global solvability and explicit bounds for non-local adhesion models. European Journal of Applied Mathematics. 2017;29(4):645-684. doi:10.1017/s0956792517000328
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63372
Wang Y, Winkler M, Xiang Z. The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system. Mathematische Zeitschrift. 2017;289(1-2):71-108. doi:10.1007/s00209-017-1944-6
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
Winkler M. Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Journal de Mathématiques Pures et Appliquées. 2017;112:118-169. doi:10.1016/j.matpur.2017.11.002
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
Winkler M. One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity. Journal of Dynamics and Differential Equations. 2017;30(1):331-358. doi:10.1007/s10884-017-9577-3
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
Winkler M. Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption. Journal of Differential Equations. 2017;264(3):2310-2350. doi:10.1016/j.jde.2017.10.029
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63383
Bellomo N, Winkler M. Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Transactions of the American Mathematical Society, Series B. 2017;4(2):31-67. doi:10.1090/btran/17
LibreCat
| DOI