Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

142 Publications

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[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift Für Angewandte Mathematik Und Physik, 76(5), Article 192. https://doi.org/10.1007/s00033-025-02582-y
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[140]
2025 | Journal Article | LibreCat-ID: 63249
Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations, 25(4), Article 108. https://doi.org/10.1007/s00028-025-01144-z
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[139]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations, 65(1), Article 1. https://doi.org/10.1007/s00526-025-03170-8
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[138]
2025 | Journal Article | LibreCat-ID: 63244
Winkler, M. (2025). 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. https://doi.org/10.4171/jems/1607
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[137]
2025 | Journal Article | LibreCat-ID: 63247
Tao, Y., & Winkler, M. (2025). A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations, 423, 197–239. https://doi.org/10.1016/j.jde.2024.12.040
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[136]
2025 | Journal Article | LibreCat-ID: 63252
Tao, Y., & Winkler, M. (2025). A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics, 68(12), 2867–2900. https://doi.org/10.1007/s11425-023-2397-y
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[135]
2025 | Journal Article | LibreCat-ID: 63344
Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
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[134]
2025 | Journal Article | LibreCat-ID: 63242
Hanfland, C., & Winkler, M. (2025). Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations, 11(3), 2041–2063. https://doi.org/10.1007/s41808-025-00316-9
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[133]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, M. (2025). Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences, 35(02), 283–343. https://doi.org/10.1142/s0218202525400020
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[132]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, M. (2024). A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies, 24(3), 592–615. https://doi.org/10.1515/ans-2023-0131
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[131]
2024 | Journal Article | LibreCat-ID: 63248
Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen, 391(2), 3023–3054. https://doi.org/10.1007/s00208-024-02987-6
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[130]
2024 | Journal Article | LibreCat-ID: 63245
Winkler, M. (2024). 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, 42(6), 1601–1630. https://doi.org/10.4171/aihpc/141
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[129]
2024 | Journal Article | LibreCat-ID: 63257
Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x
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[128]
2024 | Journal Article | LibreCat-ID: 63253
Ding, M., & Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity, 37(12), Article 125006. https://doi.org/10.1088/1361-6544/ad871a
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[127]
2024 | Journal Article | LibreCat-ID: 63254
Fuest, M., & Winkler, M. (2024). 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, 26(4), Article 60. https://doi.org/10.1007/s00021-024-00899-8
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[126]
2024 | Journal Article | LibreCat-ID: 63259
Wang, Y., & Winkler, M. (2024). 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, 109(3), Article e12885. https://doi.org/10.1112/jlms.12885
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[125]
2024 | Journal Article | LibreCat-ID: 63258
Tao, Y., & Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society, 152(10), 4325–4341. https://doi.org/10.1090/proc/16867
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[124]
2024 | Journal Article | LibreCat-ID: 63256
Nikolić, V., & Winkler, M. (2024). <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, 247, Article 113600. https://doi.org/10.1016/j.na.2024.113600
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[123]
2024 | Journal Article | LibreCat-ID: 63260
Wang, Y., & Winkler, M. (2024). A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten, 297(6), 2353–2364. https://doi.org/10.1002/mana.202300361
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[122]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics, 263(1), 93–127. https://doi.org/10.1007/s11856-024-2618-9
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[121]
2024 | Journal Article | LibreCat-ID: 63263
Winkler, M. (2024). L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations, 400, 423–456. https://doi.org/10.1016/j.jde.2024.04.028
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[120]
2023 | Journal Article | LibreCat-ID: 63285
Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921
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[119]
2023 | Journal Article | LibreCat-ID: 63288
Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics, 21(1), Article 20220578. https://doi.org/10.1515/math-2022-0578
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[118]
2023 | Journal Article | LibreCat-ID: 63287
Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y
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[117]
2023 | Journal Article | LibreCat-ID: 63289
Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029
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[116]
2023 | Journal Article | LibreCat-ID: 63271
Tao, Y., & Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences, 33(01), 103–138. https://doi.org/10.1142/s0218202523500045
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[115]
2023 | Journal Article | LibreCat-ID: 63267
Ahn, J., & Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations, 62(6), Article 180. https://doi.org/10.1007/s00526-023-02523-5
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[114]
2023 | Journal Article | LibreCat-ID: 63270
Li, G., & Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences, 21(2), 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1
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[113]
2023 | Journal Article | LibreCat-ID: 63273
Tao, Y., & Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications, 71, Article 103820. https://doi.org/10.1016/j.nonrwa.2022.103820
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[112]
2023 | Journal Article | LibreCat-ID: 63281
Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity, 36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e
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[111]
2023 | Journal Article | LibreCat-ID: 63276
Tian, Y., & Winkler, M. (2023). Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences, 46(14), 15667–15683. https://doi.org/10.1002/mma.9419
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[110]
2023 | Journal Article | LibreCat-ID: 63275
Tao, Y., & Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory, 12(6), 1676–1687. https://doi.org/10.3934/eect.2023031
LibreCat | DOI
 
[109]
2023 | Journal Article | LibreCat-ID: 63277
Painter, K. J., & Winkler, M. (2023). Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics, 83(5), 2096–2117. https://doi.org/10.1137/22m1539393
LibreCat | DOI
 
[108]
2023 | Journal Article | LibreCat-ID: 63283
Winkler, M. (2023). Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction. Zeitschrift Für Angewandte Mathematik Und Physik, 74(1), Article 32. https://doi.org/10.1007/s00033-022-01925-3
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Li, G., & Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis, 103(1), 45–64. https://doi.org/10.1080/00036811.2023.2173183
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[106]
2023 | Journal Article | LibreCat-ID: 63261
Winkler, M. (2023). 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, 41(1), 95–127. https://doi.org/10.4171/aihpc/73
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[105]
2023 | Journal Article | LibreCat-ID: 53338
Lankeit, J., & Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics, 151(4), 1197–1229. https://doi.org/10.1111/sapm.12625
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[104]
2023 | Journal Article | LibreCat-ID: 63243
Colasuonno, F., & Winkler, M. (2023). Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Article 286. https://doi.org/10.2422/2036-2145.202303_006
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[103]
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.
LibreCat
 
[102]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.
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[101]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.
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[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.
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[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151.
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[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Y., Winkler, M., & Xiang, Z. (2022). 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), 38, 985–1001.
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[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170.
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[96]
2022 | Journal Article | LibreCat-ID: 35556
Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.
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[95]
2022 | Journal Article | LibreCat-ID: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
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[94]
2022 | Journal Article | LibreCat-ID: 63310
Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22(1), 88–117. https://doi.org/10.1515/ans-2022-0004
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[93]
2022 | Journal Article | LibreCat-ID: 63305
Winkler, M. (2022). 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, 61(3), Article 108. https://doi.org/10.1007/s00526-021-02168-2
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[92]
2022 | Journal Article | LibreCat-ID: 63311
Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3(4), Article 47. https://doi.org/10.1007/s42985-022-00186-z
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[91]
2022 | Journal Article | LibreCat-ID: 63312
Winkler, M. (2022). Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B, 27(11), Article 6565. https://doi.org/10.3934/dcdsb.2022009
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[90]
2022 | Journal Article | LibreCat-ID: 63309
Winkler, M. (2022). A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295(9), 1840–1862. https://doi.org/10.1002/mana.202000403
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[89]
2022 | Journal Article | LibreCat-ID: 63306
Winkler, M. (2022). A critical blow-up exponent for flux limiation in a Keller-Segel system. Indiana University Mathematics Journal, 71(4), 1437–1465. https://doi.org/10.1512/iumj.2022.71.9042
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[88]
2022 | Journal Article | LibreCat-ID: 63284
Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences, 13(02), Article 2250012. https://doi.org/10.1142/s1664360722500126
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[87]
2022 | Journal Article | LibreCat-ID: 63286
Winkler, M. (2022). Exponential grow-up rates in a quasilinear Keller–Segel system. Asymptotic Analysis, 131(1), 33–57. https://doi.org/10.3233/asy-221765
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[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $  \mathbb{R}^3 $. Discrete and Continuous Dynamical Systems, 42(11), Article 5201. https://doi.org/10.3934/dcds.2022091
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[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models and Methods in Applied Sciences, 32(04), 713–792. https://doi.org/10.1142/s0218202522500166
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[84]
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, J., & Winkler, M. (2022). Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations, 22(1), Article 14. https://doi.org/10.1007/s00028-022-00768-9
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[83]
2022 | Journal Article | LibreCat-ID: 63299
Tao, Y., & Winkler, M. (2022). Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. SIAM Journal on Mathematical Analysis, 54(4), 4806–4864. https://doi.org/10.1137/21m1449841
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[82]
2022 | Journal Article | LibreCat-ID: 63298
Stevens, A., & Winkler, M. (2022). Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations, 47(12), 2341–2362. https://doi.org/10.1080/03605302.2022.2122836
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[81]
2022 | Journal Article | LibreCat-ID: 63266
Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations, 36(2), 1677–1702. https://doi.org/10.1007/s10884-022-10167-w
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[80]
2022 | Journal Article | LibreCat-ID: 63272
Tao, Y., & Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations, 343, 390–418. https://doi.org/10.1016/j.jde.2022.10.022
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[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, L., Laurençot, P., Trescases, A., & Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis, 226, Article 113153. https://doi.org/10.1016/j.na.2022.113153
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[78]
2022 | Journal Article | LibreCat-ID: 63278
Winkler, M. (2022). 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, 2023(19), 16336–16393. https://doi.org/10.1093/imrn/rnac286
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[77]
2022 | Journal Article | LibreCat-ID: 63279
Winkler, M. (2022). Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society, 25(4), 1423–1456. https://doi.org/10.4171/jems/1226
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[76]
2022 | Journal Article | LibreCat-ID: 63274
Wang, Y., & Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(4), 1150–1166. https://doi.org/10.1017/prm.2022.39
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[75]
2022 | Journal Article | LibreCat-ID: 63282
Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics, 25(10), Article 2250062. https://doi.org/10.1142/s0219199722500626
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[74]
2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
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[73]
2021 | Journal Article | LibreCat-ID: 35614
Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152.
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[72]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785.
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[71]
2021 | Journal Article | LibreCat-ID: 35613
Winkler, M. (2021). 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, 374, 219–268.
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[70]
2021 | Journal Article | LibreCat-ID: 35603
Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis, 281, Article 109069.
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[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics, 64, 725–746.
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[68]
2021 | Journal Article | LibreCat-ID: 35605
Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences, 19, 829–849.
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[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations, 46, 1058–1091.
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[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis, 10, 707–731.
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[65]
2021 | Journal Article | LibreCat-ID: 63313
Ding, M., & Winkler, M. (2021). Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA, 28(5), Article 47. https://doi.org/10.1007/s00030-021-00709-4
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[64]
2021 | Journal Article | LibreCat-ID: 63308
Winkler, M. (2021). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407. https://doi.org/10.1016/j.nonrwa.2021.103407
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[63]
2021 | Journal Article | LibreCat-ID: 63307
Winkler, M. (2021). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97. https://doi.org/10.1016/j.jde.2021.11.026
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[62]
2021 | Journal Article | LibreCat-ID: 63316
Tao, Y., & Winkler, M. (2021). Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis, 53(2), 1411–1433. https://doi.org/10.1137/20m1362851
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[61]
2021 | Journal Article | LibreCat-ID: 63319
Tao, Y., & Winkler, M. (2021). The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, 208, Article 112324. https://doi.org/10.1016/j.na.2021.112324
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[60]
2021 | Journal Article | LibreCat-ID: 63291
Black, T., & Winkler, M. (2021). 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, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, N., & Winkler, M. (2021). On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics, 33(5), 919–959. https://doi.org/10.1017/s0956792521000279
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 141–172. https://doi.org/10.2422/2036-2145.202005_016
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Article 421–466. https://doi.org/10.2422/2036-2145.201603_004
LibreCat | DOI
 
[56]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048.
LibreCat
 
[55]
2020 | Journal Article | LibreCat-ID: 37380
Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10.
LibreCat
 
[54]
2020 | Journal Article | LibreCat-ID: 37367
Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623.
LibreCat
 
[53]
2020 | Journal Article | LibreCat-ID: 37375
Winkler, M. (2020). Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies, 20, 795–817.
LibreCat
 
[52]
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences, 30, 2105–2137.
LibreCat
 
[51]
2020 | Journal Article | LibreCat-ID: 37349
Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Winkler, M. (2020). Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies, 20(4), 795–817. https://doi.org/10.1515/ans-2020-2107
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae, 169(1), 577–591. https://doi.org/10.1007/s10440-020-00312-2
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Winkler, M. (2020). Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique, 141(2), 585–624. https://doi.org/10.1007/s11854-020-0109-4
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Evje, S., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30(4), 1809–1847. https://doi.org/10.1007/s00332-020-09625-w
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences, 30(11), 2105–2137. https://doi.org/10.1142/s0218202520500396
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, G., Tao, Y., & Winkler, M. (2020). Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B, 25(11), 4383–4396. https://doi.org/10.3934/dcdsb.2020102
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
Winkler, M. (2020). Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications, 59, Article 103257. https://doi.org/10.1016/j.nonrwa.2020.103257
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
Tao, Y., & Winkler, M. (2020). A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis, 198, Article 111870. https://doi.org/10.1016/j.na.2020.111870
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Winkler, M. (2020). Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, Article 106785. https://doi.org/10.1016/j.aml.2020.106785
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Tao, Y., & Winkler, M. (2020). Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete &amp; Continuous Dynamical Systems - A, 41(1), 439–454. https://doi.org/10.3934/dcds.2020216
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
Winkler, M. (2020). Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis, 52(2), 2041–2080. https://doi.org/10.1137/19m1264199
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
TAO, Y., & Winkler, M. (2020). A critical virus production rate for efficiency of oncolytic virotherapy. European Journal of Applied Mathematics, 32(2), 301–316. https://doi.org/10.1017/s0956792520000133
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU, C., & Winkler, M. (2020). 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, 32(4), 618–651. https://doi.org/10.1017/s0956792520000236
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Winkler, M. (2020). Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. Journal of Dynamics and Differential Equations, 36(S1), 3–23. https://doi.org/10.1007/s10884-020-09892-x
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Winkler, M. (2019). Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices, 2021(11), 8106–8152. https://doi.org/10.1093/imrn/rnz056
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
Winkler, M. (2019). The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis, 9(1), 526–566. https://doi.org/10.1515/anona-2020-0013
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Tao, Y., & Winkler, M. (2019). Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations, 268(9), 4973–4997. https://doi.org/10.1016/j.jde.2019.10.046
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, N., Painter, K. J., Tao, Y., & Winkler, M. (2019). Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics, 79(5), 1990–2010. https://doi.org/10.1137/19m1250261
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Tao, Y., & Winkler, M. (2019). Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society, 119(6), 1598–1632. https://doi.org/10.1112/plms.12276
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Tao, Y., & Winkler, M. (2019). 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, 29(11), 2151–2182. https://doi.org/10.1142/s021820251950043x
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Lankeit, J., & Winkler, M. (2019). Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics, 233(1), 249–296. https://doi.org/10.1007/s11856-019-1900-8
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
Tao, Y., & Winkler, M. (2019). A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production. Communications on Pure &amp; Applied Analysis, 18(4), 2047–2067. https://doi.org/10.3934/cpaa.2019092
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Tao, Y., & Winkler, M. (2019). Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension. Journal of Differential Equations, 267(1), 388–406. https://doi.org/10.1016/j.jde.2019.01.014
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Lankeit, J., & Winkler, M. (2019). Facing Low Regularity in Chemotaxis Systems. Jahresbericht Der Deutschen Mathematiker-Vereinigung, 122(1), 35–64. https://doi.org/10.1365/s13291-019-00210-z
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, P., Winkler, M., & Wrzosek, D. (2019). Migration-driven benefit in a two-species nutrient taxis system. Nonlinear Analysis: Real World Applications, 48, 94–116. https://doi.org/10.1016/j.nonrwa.2019.01.006
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Winkler, M. (2019). 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, 36(6), 1747–1790. https://doi.org/10.1016/j.anihpc.2019.02.004
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Winkler, M. (2019). Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Mathematical Models and Methods in Applied Sciences, 29(03), 373–418. https://doi.org/10.1142/s021820251950012x
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Winkler, M. (2019). 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, 183, 102–116. https://doi.org/10.1016/j.na.2019.01.017
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Y., Winkler, M., & Xiang, Z. (2019). The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations, 58(6), Article 196. https://doi.org/10.1007/s00526-019-1656-3
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
Winkler, M. (2019). How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali Di Matematica Pura Ed Applicata (1923 -), 198(5), 1615–1637. https://doi.org/10.1007/s10231-019-00834-z
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Winkler, M. (2019). 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, 26(6), Article 48. https://doi.org/10.1007/s00030-019-0600-8
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Souplet, P., & Winkler, M. (2018). Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions                                                                  $${n\geq 3}$$                                                                            n                      ≥                      3. Communications in Mathematical Physics, 367(2), 665–681. https://doi.org/10.1007/s00220-018-3238-1
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
Winkler, M. (2018). How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen, 373(3–4), 1237–1282. https://doi.org/10.1007/s00208-018-1722-8
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Winkler, M. (2018). Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. Journal of Differential Equations, 266(12), 8034–8066. https://doi.org/10.1016/j.jde.2018.12.019
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
Winkler, M. (2018). A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization. Journal of Functional Analysis, 276(5), 1339–1401. https://doi.org/10.1016/j.jfa.2018.12.009
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Cao, X., & Winkler, M. (2018). Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148(5), 939–955. https://doi.org/10.1017/s0308210518000057
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Winkler, M. (2018). Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity. Acta Applicandae Mathematicae, 163(1), 1–17. https://doi.org/10.1007/s10440-018-0211-0
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Espejo, E., & Winkler, M. (2018). Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization. Nonlinearity, 31(4), 1227–1259. https://doi.org/10.1088/1361-6544/aa9d5f
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Winkler, M. (2018). Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation. Zeitschrift Für Angewandte Mathematik Und Physik, 69(2), Article 40. https://doi.org/10.1007/s00033-018-0935-8
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Winkler, M. (2018). Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Journal of Mathematical Fluid Mechanics, 20(4), 1889–1909. https://doi.org/10.1007/s00021-018-0395-0
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Winkler, M. (2018). Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Journal of Evolution Equations, 18(3), 1267–1289. https://doi.org/10.1007/s00028-018-0440-8
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Winkler, M. (2018). Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Journal of Differential Equations, 264(10), 6109–6151. https://doi.org/10.1016/j.jde.2018.01.027
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
Winkler, M. (2018). A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Nonlinearity, 31(5), 2031–2056. https://doi.org/10.1088/1361-6544/aaaa0e
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Winkler, M., & Yokota, T. (2018). Stabilization in the logarithmic Keller–Segel system. Nonlinear Analysis, 170, 123–141. https://doi.org/10.1016/j.na.2018.01.002
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., PAINTER, K. J., & Winkler, M. (2017). Global solvability and explicit bounds for non-local adhesion models. European Journal of Applied Mathematics, 29(4), 645–684. https://doi.org/10.1017/s0956792517000328
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Y., Winkler, M., & Xiang, Z. (2017). The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system. Mathematische Zeitschrift, 289(1–2), 71–108. https://doi.org/10.1007/s00209-017-1944-6
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Winkler, M. (2017). Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Journal de Mathématiques Pures et Appliquées, 112, 118–169. https://doi.org/10.1016/j.matpur.2017.11.002
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
Winkler, M. (2017). One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity. Journal of Dynamics and Differential Equations, 30(1), 331–358. https://doi.org/10.1007/s10884-017-9577-3
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Winkler, M. (2017). Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption. Journal of Differential Equations, 264(3), 2310–2350. https://doi.org/10.1016/j.jde.2017.10.029
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Bellomo, N., & Winkler, M. (2017). Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Transactions of the American Mathematical Society, Series B, 4(2), 31–67. https://doi.org/10.1090/btran/17
LibreCat | DOI
 
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[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift Für Angewandte Mathematik Und Physik, 76(5), Article 192. https://doi.org/10.1007/s00033-025-02582-y
LibreCat | DOI
 
[140]
2025 | Journal Article | LibreCat-ID: 63249
Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations, 25(4), Article 108. https://doi.org/10.1007/s00028-025-01144-z
LibreCat | DOI
 
[139]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations, 65(1), Article 1. https://doi.org/10.1007/s00526-025-03170-8
LibreCat | DOI
 
[138]
2025 | Journal Article | LibreCat-ID: 63244
Winkler, M. (2025). 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. https://doi.org/10.4171/jems/1607
LibreCat | DOI
 
[137]
2025 | Journal Article | LibreCat-ID: 63247
Tao, Y., & Winkler, M. (2025). A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations, 423, 197–239. https://doi.org/10.1016/j.jde.2024.12.040
LibreCat | DOI
 
[136]
2025 | Journal Article | LibreCat-ID: 63252
Tao, Y., & Winkler, M. (2025). A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics, 68(12), 2867–2900. https://doi.org/10.1007/s11425-023-2397-y
LibreCat | DOI
 
[135]
2025 | Journal Article | LibreCat-ID: 63344
Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics &amp; Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
LibreCat | DOI
 
[134]
2025 | Journal Article | LibreCat-ID: 63242
Hanfland, C., & Winkler, M. (2025). Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations, 11(3), 2041–2063. https://doi.org/10.1007/s41808-025-00316-9
LibreCat | DOI
 
[133]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, M. (2025). Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences, 35(02), 283–343. https://doi.org/10.1142/s0218202525400020
LibreCat | DOI
 
[132]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, M. (2024). A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies, 24(3), 592–615. https://doi.org/10.1515/ans-2023-0131
LibreCat | DOI
 
[131]
2024 | Journal Article | LibreCat-ID: 63248
Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen, 391(2), 3023–3054. https://doi.org/10.1007/s00208-024-02987-6
LibreCat | DOI
 
[130]
2024 | Journal Article | LibreCat-ID: 63245
Winkler, M. (2024). 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, 42(6), 1601–1630. https://doi.org/10.4171/aihpc/141
LibreCat | DOI
 
[129]
2024 | Journal Article | LibreCat-ID: 63257
Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x
LibreCat | DOI
 
[128]
2024 | Journal Article | LibreCat-ID: 63253
Ding, M., & Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity, 37(12), Article 125006. https://doi.org/10.1088/1361-6544/ad871a
LibreCat | DOI
 
[127]
2024 | Journal Article | LibreCat-ID: 63254
Fuest, M., & Winkler, M. (2024). 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, 26(4), Article 60. https://doi.org/10.1007/s00021-024-00899-8
LibreCat | DOI
 
[126]
2024 | Journal Article | LibreCat-ID: 63259
Wang, Y., & Winkler, M. (2024). 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, 109(3), Article e12885. https://doi.org/10.1112/jlms.12885
LibreCat | DOI
 
[125]
2024 | Journal Article | LibreCat-ID: 63258
Tao, Y., & Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society, 152(10), 4325–4341. https://doi.org/10.1090/proc/16867
LibreCat | DOI
 
[124]
2024 | Journal Article | LibreCat-ID: 63256
Nikolić, V., & Winkler, M. (2024). <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, 247, Article 113600. https://doi.org/10.1016/j.na.2024.113600
LibreCat | DOI
 
[123]
2024 | Journal Article | LibreCat-ID: 63260
Wang, Y., & Winkler, M. (2024). A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten, 297(6), 2353–2364. https://doi.org/10.1002/mana.202300361
LibreCat | DOI
 
[122]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics, 263(1), 93–127. https://doi.org/10.1007/s11856-024-2618-9
LibreCat | DOI
 
[121]
2024 | Journal Article | LibreCat-ID: 63263
Winkler, M. (2024). L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux. Journal of Differential Equations, 400, 423–456. https://doi.org/10.1016/j.jde.2024.04.028
LibreCat | DOI
 
[120]
2023 | Journal Article | LibreCat-ID: 63285
Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921
LibreCat | DOI
 
[119]
2023 | Journal Article | LibreCat-ID: 63288
Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics, 21(1), Article 20220578. https://doi.org/10.1515/math-2022-0578
LibreCat | DOI
 
[118]
2023 | Journal Article | LibreCat-ID: 63287
Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y
LibreCat | DOI
 
[117]
2023 | Journal Article | LibreCat-ID: 63289
Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029
LibreCat | DOI
 
[116]
2023 | Journal Article | LibreCat-ID: 63271
Tao, Y., & Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences, 33(01), 103–138. https://doi.org/10.1142/s0218202523500045
LibreCat | DOI
 
[115]
2023 | Journal Article | LibreCat-ID: 63267
Ahn, J., & Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations, 62(6), Article 180. https://doi.org/10.1007/s00526-023-02523-5
LibreCat | DOI
 
[114]
2023 | Journal Article | LibreCat-ID: 63270
Li, G., & Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences, 21(2), 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1
LibreCat | DOI
 
[113]
2023 | Journal Article | LibreCat-ID: 63273
Tao, Y., & Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications, 71, Article 103820. https://doi.org/10.1016/j.nonrwa.2022.103820
LibreCat | DOI
 
[112]
2023 | Journal Article | LibreCat-ID: 63281
Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity, 36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e
LibreCat | DOI
 
[111]
2023 | Journal Article | LibreCat-ID: 63276
Tian, Y., & Winkler, M. (2023). Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences, 46(14), 15667–15683. https://doi.org/10.1002/mma.9419
LibreCat | DOI
 
[110]
2023 | Journal Article | LibreCat-ID: 63275
Tao, Y., & Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory, 12(6), 1676–1687. https://doi.org/10.3934/eect.2023031
LibreCat | DOI
 
[109]
2023 | Journal Article | LibreCat-ID: 63277
Painter, K. J., & Winkler, M. (2023). Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics, 83(5), 2096–2117. https://doi.org/10.1137/22m1539393
LibreCat | DOI
 
[108]
2023 | Journal Article | LibreCat-ID: 63283
Winkler, M. (2023). Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction. Zeitschrift Für Angewandte Mathematik Und Physik, 74(1), Article 32. https://doi.org/10.1007/s00033-022-01925-3
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Li, G., & Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis, 103(1), 45–64. https://doi.org/10.1080/00036811.2023.2173183
LibreCat | DOI
 
[106]
2023 | Journal Article | LibreCat-ID: 63261
Winkler, M. (2023). 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, 41(1), 95–127. https://doi.org/10.4171/aihpc/73
LibreCat | DOI
 
[105]
2023 | Journal Article | LibreCat-ID: 53338
Lankeit, J., & Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. Studies in Applied Mathematics, 151(4), 1197–1229. https://doi.org/10.1111/sapm.12625
LibreCat | DOI
 
[104]
2023 | Journal Article | LibreCat-ID: 63243
Colasuonno, F., & Winkler, M. (2023). Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Article 286. https://doi.org/10.2422/2036-2145.202303_006
LibreCat | DOI
 
[103]
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.
LibreCat
 
[102]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.
LibreCat
 
[101]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.
LibreCat
 
[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.
LibreCat
 
[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151.
LibreCat
 
[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Y., Winkler, M., & Xiang, Z. (2022). 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), 38, 985–1001.
LibreCat
 
[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170.
LibreCat
 
[96]
2022 | Journal Article | LibreCat-ID: 35556
Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.
LibreCat
 
[95]
2022 | Journal Article | LibreCat-ID: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
LibreCat
 
[94]
2022 | Journal Article | LibreCat-ID: 63310
Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22(1), 88–117. https://doi.org/10.1515/ans-2022-0004
LibreCat | DOI
 
[93]
2022 | Journal Article | LibreCat-ID: 63305
Winkler, M. (2022). 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, 61(3), Article 108. https://doi.org/10.1007/s00526-021-02168-2
LibreCat | DOI
 
[92]
2022 | Journal Article | LibreCat-ID: 63311
Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3(4), Article 47. https://doi.org/10.1007/s42985-022-00186-z
LibreCat | DOI
 
[91]
2022 | Journal Article | LibreCat-ID: 63312
Winkler, M. (2022). Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Discrete and Continuous Dynamical Systems - B, 27(11), Article 6565. https://doi.org/10.3934/dcdsb.2022009
LibreCat | DOI
 
[90]
2022 | Journal Article | LibreCat-ID: 63309
Winkler, M. (2022). A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295(9), 1840–1862. https://doi.org/10.1002/mana.202000403
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 63306
Winkler, M. (2022). A critical blow-up exponent for flux limiation in a Keller-Segel system. Indiana University Mathematics Journal, 71(4), 1437–1465. https://doi.org/10.1512/iumj.2022.71.9042
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 63284
Winkler, M. (2022). Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Bulletin of Mathematical Sciences, 13(02), Article 2250012. https://doi.org/10.1142/s1664360722500126
LibreCat | DOI
 
[87]
2022 | Journal Article | LibreCat-ID: 63286
Winkler, M. (2022). Exponential grow-up rates in a quasilinear Keller–Segel system. Asymptotic Analysis, 131(1), 33–57. https://doi.org/10.3233/asy-221765
LibreCat | DOI
 
[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $  \mathbb{R}^3 $. Discrete and Continuous Dynamical Systems, 42(11), Article 5201. https://doi.org/10.3934/dcds.2022091
LibreCat | DOI
 
[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models and Methods in Applied Sciences, 32(04), 713–792. https://doi.org/10.1142/s0218202522500166
LibreCat | DOI
 
[84]
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, J., & Winkler, M. (2022). Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations, 22(1), Article 14. https://doi.org/10.1007/s00028-022-00768-9
LibreCat | DOI
 
[83]
2022 | Journal Article | LibreCat-ID: 63299
Tao, Y., & Winkler, M. (2022). Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. SIAM Journal on Mathematical Analysis, 54(4), 4806–4864. https://doi.org/10.1137/21m1449841
LibreCat | DOI
 
[82]
2022 | Journal Article | LibreCat-ID: 63298
Stevens, A., & Winkler, M. (2022). Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations, 47(12), 2341–2362. https://doi.org/10.1080/03605302.2022.2122836
LibreCat | DOI
 
[81]
2022 | Journal Article | LibreCat-ID: 63266
Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations, 36(2), 1677–1702. https://doi.org/10.1007/s10884-022-10167-w
LibreCat | DOI
 
[80]
2022 | Journal Article | LibreCat-ID: 63272
Tao, Y., & Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations, 343, 390–418. https://doi.org/10.1016/j.jde.2022.10.022
LibreCat | DOI
 
[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, L., Laurençot, P., Trescases, A., & Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis, 226, Article 113153. https://doi.org/10.1016/j.na.2022.113153
LibreCat | DOI
 
[78]
2022 | Journal Article | LibreCat-ID: 63278
Winkler, M. (2022). 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, 2023(19), 16336–16393. https://doi.org/10.1093/imrn/rnac286
LibreCat | DOI
 
[77]
2022 | Journal Article | LibreCat-ID: 63279
Winkler, M. (2022). Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society, 25(4), 1423–1456. https://doi.org/10.4171/jems/1226
LibreCat | DOI
 
[76]
2022 | Journal Article | LibreCat-ID: 63274
Wang, Y., & Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(4), 1150–1166. https://doi.org/10.1017/prm.2022.39
LibreCat | DOI
 
[75]
2022 | Journal Article | LibreCat-ID: 63282
Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics, 25(10), Article 2250062. https://doi.org/10.1142/s0219199722500626
LibreCat | DOI
 
[74]
2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
LibreCat
 
[73]
2021 | Journal Article | LibreCat-ID: 35614
Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152.
LibreCat
 
[72]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785.
LibreCat
 
[71]
2021 | Journal Article | LibreCat-ID: 35613
Winkler, M. (2021). 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, 374, 219–268.
LibreCat
 
[70]
2021 | Journal Article | LibreCat-ID: 35603
Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis, 281, Article 109069.
LibreCat
 
[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics, 64, 725–746.
LibreCat
 
[68]
2021 | Journal Article | LibreCat-ID: 35605
Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences, 19, 829–849.
LibreCat
 
[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations, 46, 1058–1091.
LibreCat
 
[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis, 10, 707–731.
LibreCat
 
[65]
2021 | Journal Article | LibreCat-ID: 63313
Ding, M., & Winkler, M. (2021). Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA, 28(5), Article 47. https://doi.org/10.1007/s00030-021-00709-4
LibreCat | DOI
 
[64]
2021 | Journal Article | LibreCat-ID: 63308
Winkler, M. (2021). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407. https://doi.org/10.1016/j.nonrwa.2021.103407
LibreCat | DOI
 
[63]
2021 | Journal Article | LibreCat-ID: 63307
Winkler, M. (2021). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97. https://doi.org/10.1016/j.jde.2021.11.026
LibreCat | DOI
 
[62]
2021 | Journal Article | LibreCat-ID: 63316
Tao, Y., & Winkler, M. (2021). Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis, 53(2), 1411–1433. https://doi.org/10.1137/20m1362851
LibreCat | DOI
 
[61]
2021 | Journal Article | LibreCat-ID: 63319
Tao, Y., & Winkler, M. (2021). The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, 208, Article 112324. https://doi.org/10.1016/j.na.2021.112324
LibreCat | DOI
 
[60]
2021 | Journal Article | LibreCat-ID: 63291
Black, T., & Winkler, M. (2021). 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, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, N., & Winkler, M. (2021). On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics, 33(5), 919–959. https://doi.org/10.1017/s0956792521000279
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 141–172. https://doi.org/10.2422/2036-2145.202005_016
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Article 421–466. https://doi.org/10.2422/2036-2145.201603_004
LibreCat | DOI
 
[56]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048.
LibreCat
 
[55]
2020 | Journal Article | LibreCat-ID: 37380
Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10.
LibreCat
 
[54]
2020 | Journal Article | LibreCat-ID: 37367
Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623.
LibreCat
 
[53]
2020 | Journal Article | LibreCat-ID: 37375
Winkler, M. (2020). Attractiveness  of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies, 20, 795–817.
LibreCat
 
[52]
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences, 30, 2105–2137.
LibreCat
 
[51]
2020 | Journal Article | LibreCat-ID: 37349
Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Winkler, M. (2020). Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies, 20(4), 795–817. https://doi.org/10.1515/ans-2020-2107
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae, 169(1), 577–591. https://doi.org/10.1007/s10440-020-00312-2
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Winkler, M. (2020). Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique, 141(2), 585–624. https://doi.org/10.1007/s11854-020-0109-4
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Evje, S., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30(4), 1809–1847. https://doi.org/10.1007/s00332-020-09625-w
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences, 30(11), 2105–2137. https://doi.org/10.1142/s0218202520500396
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, G., Tao, Y., & Winkler, M. (2020). Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B, 25(11), 4383–4396. https://doi.org/10.3934/dcdsb.2020102
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
Winkler, M. (2020). Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications, 59, Article 103257. https://doi.org/10.1016/j.nonrwa.2020.103257
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
Tao, Y., & Winkler, M. (2020). A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis, 198, Article 111870. https://doi.org/10.1016/j.na.2020.111870
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Winkler, M. (2020). Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, Article 106785. https://doi.org/10.1016/j.aml.2020.106785
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Tao, Y., & Winkler, M. (2020). Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete &amp; Continuous Dynamical Systems - A, 41(1), 439–454. https://doi.org/10.3934/dcds.2020216
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
Winkler, M. (2020). Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis, 52(2), 2041–2080. https://doi.org/10.1137/19m1264199
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
TAO, Y., & Winkler, M. (2020). A critical virus production rate for efficiency of oncolytic virotherapy. European Journal of Applied Mathematics, 32(2), 301–316. https://doi.org/10.1017/s0956792520000133
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU, C., & Winkler, M. (2020). 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, 32(4), 618–651. https://doi.org/10.1017/s0956792520000236
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Winkler, M. (2020). Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. Journal of Dynamics and Differential Equations, 36(S1), 3–23. https://doi.org/10.1007/s10884-020-09892-x
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Winkler, M. (2019). Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices, 2021(11), 8106–8152. https://doi.org/10.1093/imrn/rnz056
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
Winkler, M. (2019). The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis, 9(1), 526–566. https://doi.org/10.1515/anona-2020-0013
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Tao, Y., & Winkler, M. (2019). Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations, 268(9), 4973–4997. https://doi.org/10.1016/j.jde.2019.10.046
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, N., Painter, K. J., Tao, Y., & Winkler, M. (2019). Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics, 79(5), 1990–2010. https://doi.org/10.1137/19m1250261
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Tao, Y., & Winkler, M. (2019). Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society, 119(6), 1598–1632. https://doi.org/10.1112/plms.12276
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Tao, Y., & Winkler, M. (2019). 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, 29(11), 2151–2182. https://doi.org/10.1142/s021820251950043x
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Lankeit, J., & Winkler, M. (2019). Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics, 233(1), 249–296. https://doi.org/10.1007/s11856-019-1900-8
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
Tao, Y., & Winkler, M. (2019). A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production. Communications on Pure &amp; Applied Analysis, 18(4), 2047–2067. https://doi.org/10.3934/cpaa.2019092
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Tao, Y., & Winkler, M. (2019). Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension. Journal of Differential Equations, 267(1), 388–406. https://doi.org/10.1016/j.jde.2019.01.014
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Lankeit, J., & Winkler, M. (2019). Facing Low Regularity in Chemotaxis Systems. Jahresbericht Der Deutschen Mathematiker-Vereinigung, 122(1), 35–64. https://doi.org/10.1365/s13291-019-00210-z
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, P., Winkler, M., & Wrzosek, D. (2019). Migration-driven benefit in a two-species nutrient taxis system. Nonlinear Analysis: Real World Applications, 48, 94–116. https://doi.org/10.1016/j.nonrwa.2019.01.006
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Winkler, M. (2019). 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, 36(6), 1747–1790. https://doi.org/10.1016/j.anihpc.2019.02.004
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Winkler, M. (2019). Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Mathematical Models and Methods in Applied Sciences, 29(03), 373–418. https://doi.org/10.1142/s021820251950012x
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Winkler, M. (2019). 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, 183, 102–116. https://doi.org/10.1016/j.na.2019.01.017
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Y., Winkler, M., & Xiang, Z. (2019). The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations, 58(6), Article 196. https://doi.org/10.1007/s00526-019-1656-3
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
Winkler, M. (2019). How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali Di Matematica Pura Ed Applicata (1923 -), 198(5), 1615–1637. https://doi.org/10.1007/s10231-019-00834-z
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Winkler, M. (2019). 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, 26(6), Article 48. https://doi.org/10.1007/s00030-019-0600-8
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Souplet, P., & Winkler, M. (2018). Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions                                                                  $${n\geq 3}$$                                                                            n                      ≥                      3. Communications in Mathematical Physics, 367(2), 665–681. https://doi.org/10.1007/s00220-018-3238-1
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
Winkler, M. (2018). How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen, 373(3–4), 1237–1282. https://doi.org/10.1007/s00208-018-1722-8
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Winkler, M. (2018). Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities. Journal of Differential Equations, 266(12), 8034–8066. https://doi.org/10.1016/j.jde.2018.12.019
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
Winkler, M. (2018). A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization. Journal of Functional Analysis, 276(5), 1339–1401. https://doi.org/10.1016/j.jfa.2018.12.009
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Cao, X., & Winkler, M. (2018). Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148(5), 939–955. https://doi.org/10.1017/s0308210518000057
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Winkler, M. (2018). Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity. Acta Applicandae Mathematicae, 163(1), 1–17. https://doi.org/10.1007/s10440-018-0211-0
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Espejo, E., & Winkler, M. (2018). Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization. Nonlinearity, 31(4), 1227–1259. https://doi.org/10.1088/1361-6544/aa9d5f
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Winkler, M. (2018). Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation. Zeitschrift Für Angewandte Mathematik Und Physik, 69(2), Article 40. https://doi.org/10.1007/s00033-018-0935-8
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Winkler, M. (2018). Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? Journal of Mathematical Fluid Mechanics, 20(4), 1889–1909. https://doi.org/10.1007/s00021-018-0395-0
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Winkler, M. (2018). Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Journal of Evolution Equations, 18(3), 1267–1289. https://doi.org/10.1007/s00028-018-0440-8
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Winkler, M. (2018). Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Journal of Differential Equations, 264(10), 6109–6151. https://doi.org/10.1016/j.jde.2018.01.027
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
Winkler, M. (2018). A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Nonlinearity, 31(5), 2031–2056. https://doi.org/10.1088/1361-6544/aaaa0e
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Winkler, M., & Yokota, T. (2018). Stabilization in the logarithmic Keller–Segel system. Nonlinear Analysis, 170, 123–141. https://doi.org/10.1016/j.na.2018.01.002
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., PAINTER, K. J., & Winkler, M. (2017). Global solvability and explicit bounds for non-local adhesion models. European Journal of Applied Mathematics, 29(4), 645–684. https://doi.org/10.1017/s0956792517000328
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Y., Winkler, M., & Xiang, Z. (2017). The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system. Mathematische Zeitschrift, 289(1–2), 71–108. https://doi.org/10.1007/s00209-017-1944-6
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Winkler, M. (2017). Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Journal de Mathématiques Pures et Appliquées, 112, 118–169. https://doi.org/10.1016/j.matpur.2017.11.002
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
Winkler, M. (2017). One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity. Journal of Dynamics and Differential Equations, 30(1), 331–358. https://doi.org/10.1007/s10884-017-9577-3
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Winkler, M. (2017). Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption. Journal of Differential Equations, 264(3), 2310–2350. https://doi.org/10.1016/j.jde.2017.10.029
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Bellomo, N., & Winkler, M. (2017). Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Transactions of the American Mathematical Society, Series B, 4(2), 31–67. https://doi.org/10.1090/btran/17
LibreCat | DOI
 
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