Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

142 Publications

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[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025): 2465–2512. https://doi.org/10.1142/s0218202525500447.
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik 76, no. 5 (2025). https://doi.org/10.1007/s00033-025-02582-y.
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[140]
2025 | Journal Article | LibreCat-ID: 63249
Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations 25, no. 4 (2025). https://doi.org/10.1007/s00028-025-01144-z.
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[139]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations 65, no. 1 (2025). https://doi.org/10.1007/s00526-025-03170-8.
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[138]
2025 | Journal Article | LibreCat-ID: 63244
Winkler, Michael. “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, 2025. https://doi.org/10.4171/jems/1607.
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[137]
2025 | Journal Article | LibreCat-ID: 63247
Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations 423 (2025): 197–239. https://doi.org/10.1016/j.jde.2024.12.040.
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[136]
2025 | Journal Article | LibreCat-ID: 63252
Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics 68, no. 12 (2025): 2867–2900. https://doi.org/10.1007/s11425-023-2397-y.
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[135]
2025 | Journal Article | LibreCat-ID: 63344
Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
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[134]
2025 | Journal Article | LibreCat-ID: 63242
Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations 11, no. 3 (2025): 2041–63. https://doi.org/10.1007/s41808-025-00316-9.
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[133]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences 35, no. 02 (2025): 283–343. https://doi.org/10.1142/s0218202525400020.
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[132]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies 24, no. 3 (2024): 592–615. https://doi.org/10.1515/ans-2023-0131.
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[131]
2024 | Journal Article | LibreCat-ID: 63248
Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen 391, no. 2 (2024): 3023–54. https://doi.org/10.1007/s00208-024-02987-6.
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[130]
2024 | Journal Article | LibreCat-ID: 63245
Winkler, Michael. “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, no. 6 (2024): 1601–30. https://doi.org/10.4171/aihpc/141.
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[129]
2024 | Journal Article | LibreCat-ID: 63257
Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00954-x.
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[128]
2024 | Journal Article | LibreCat-ID: 63253
Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity 37, no. 12 (2024). https://doi.org/10.1088/1361-6544/ad871a.
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[127]
2024 | Journal Article | LibreCat-ID: 63254
Fuest, Mario, and Michael Winkler. “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, no. 4 (2024). https://doi.org/10.1007/s00021-024-00899-8.
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[126]
2024 | Journal Article | LibreCat-ID: 63259
Wang, Yulan, and Michael Winkler. “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, no. 3 (2024). https://doi.org/10.1112/jlms.12885.
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[125]
2024 | Journal Article | LibreCat-ID: 63258
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society 152, no. 10 (2024): 4325–41. https://doi.org/10.1090/proc/16867.
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[124]
2024 | Journal Article | LibreCat-ID: 63256
Nikolić, Vanja, and Michael Winkler. “<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 (2024). https://doi.org/10.1016/j.na.2024.113600.
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[123]
2024 | Journal Article | LibreCat-ID: 63260
Wang, Yulan, and Michael Winkler. “A Singular Growth Phenomenon in a Keller–Segel–Type Parabolic System Involving Density‐suppressed Motilities.” Mathematische Nachrichten 297, no. 6 (2024): 2353–64. https://doi.org/10.1002/mana.202300361.
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[122]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics 263, no. 1 (2024): 93–127. https://doi.org/10.1007/s11856-024-2618-9.
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[121]
2024 | Journal Article | LibreCat-ID: 63263
Winkler, Michael. “L∞ Bounds in a Two-Dimensional Doubly Degenerate Nutrient Taxis System with General Cross-Diffusive Flux.” Journal of Differential Equations 400 (2024): 423–56. https://doi.org/10.1016/j.jde.2024.04.028.
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[120]
2023 | Journal Article | LibreCat-ID: 63285
Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921.
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[119]
2023 | Journal Article | LibreCat-ID: 63288
Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics 21, no. 1 (2023). https://doi.org/10.1515/math-2022-0578.
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[118]
2023 | Journal Article | LibreCat-ID: 63287
Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.
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[117]
2023 | Journal Article | LibreCat-ID: 63289
Winkler, Michael, and Tomomi Yokota. “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 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.
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[116]
2023 | Journal Article | LibreCat-ID: 63271
Tao, Youshan, and Michael Winkler. “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, no. 01 (2023): 103–38. https://doi.org/10.1142/s0218202523500045.
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[115]
2023 | Journal Article | LibreCat-ID: 63267
Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations 62, no. 6 (2023). https://doi.org/10.1007/s00526-023-02523-5.
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[114]
2023 | Journal Article | LibreCat-ID: 63270
Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences 21, no. 2 (2023): 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1.
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[113]
2023 | Journal Article | LibreCat-ID: 63273
Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications 71 (2023). https://doi.org/10.1016/j.nonrwa.2022.103820.
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[112]
2023 | Journal Article | LibreCat-ID: 63281
Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity 36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.
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[111]
2023 | Journal Article | LibreCat-ID: 63276
Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” Mathematical Methods in the Applied Sciences 46, no. 14 (2023): 15667–83. https://doi.org/10.1002/mma.9419.
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[110]
2023 | Journal Article | LibreCat-ID: 63275
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory 12, no. 6 (2023): 1676–87. https://doi.org/10.3934/eect.2023031.
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[109]
2023 | Journal Article | LibreCat-ID: 63277
Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics 83, no. 5 (2023): 2096–2117. https://doi.org/10.1137/22m1539393.
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[108]
2023 | Journal Article | LibreCat-ID: 63283
Winkler, Michael. “Global Generalized Solvability in a Strongly Degenerate Taxis-Type Parabolic System Modeling Migration–Consumption Interaction.” Zeitschrift Für Angewandte Mathematik Und Physik 74, no. 1 (2023). https://doi.org/10.1007/s00033-022-01925-3.
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis 103, no. 1 (2023): 45–64. https://doi.org/10.1080/00036811.2023.2173183.
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[106]
2023 | Journal Article | LibreCat-ID: 63261
Winkler, Michael. “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, no. 1 (2023): 95–127. https://doi.org/10.4171/aihpc/73.
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[105]
2023 | Journal Article | LibreCat-ID: 53338
Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics 151, no. 4 (2023): 1197–1229. https://doi.org/10.1111/sapm.12625.
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[104]
2023 | Journal Article | LibreCat-ID: 63243
Colasuonno, Francesca, and Michael Winkler. “Stability vs.~instability of Singular Steady States in the Parabolic-Elliptic Keller-Segel System on $\R^n$.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2023. https://doi.org/10.2422/2036-2145.202303_006.
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[103]
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.
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[102]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.
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[101]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.
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[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.
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[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.
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[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “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 (2022): 985–1001.
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[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.
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[96]
2022 | Journal Article | LibreCat-ID: 35556
Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.
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[95]
2022 | Journal Article | LibreCat-ID: 35532
Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis 21 (2022): 687–784.
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[94]
2022 | Journal Article | LibreCat-ID: 63310
Winkler, Michael. “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, no. 1 (2022): 88–117. https://doi.org/10.1515/ans-2022-0004.
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[93]
2022 | Journal Article | LibreCat-ID: 63305
Winkler, Michael. “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, no. 3 (2022). https://doi.org/10.1007/s00526-021-02168-2.
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[92]
2022 | Journal Article | LibreCat-ID: 63311
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3, no. 4 (2022). https://doi.org/10.1007/s42985-022-00186-z.
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[91]
2022 | Journal Article | LibreCat-ID: 63312
Winkler, Michael. “Approaching Logarithmic Singularities in Quasilinear Chemotaxis-Consumption Systems with Signal-Dependent Sensitivities.” Discrete and Continuous Dynamical Systems - B 27, no. 11 (2022). https://doi.org/10.3934/dcdsb.2022009.
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[90]
2022 | Journal Article | LibreCat-ID: 63309
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller–Segel Type Cross‐diffusion Systems via Conditional L∞$L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295, no. 9 (2022): 1840–62. https://doi.org/10.1002/mana.202000403.
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[89]
2022 | Journal Article | LibreCat-ID: 63306
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limiation in a Keller-Segel System.” Indiana University Mathematics Journal 71, no. 4 (2022): 1437–65. https://doi.org/10.1512/iumj.2022.71.9042.
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[88]
2022 | Journal Article | LibreCat-ID: 63284
Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” Bulletin of Mathematical Sciences 13, no. 02 (2022). https://doi.org/10.1142/s1664360722500126.
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[87]
2022 | Journal Article | LibreCat-ID: 63286
Winkler, Michael. “Exponential Grow-up Rates in a Quasilinear Keller–Segel System.” Asymptotic Analysis 131, no. 1 (2022): 33–57. https://doi.org/10.3233/asy-221765.
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[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $  \mathbb{R}^3 $.” Discrete and Continuous Dynamical Systems 42, no. 11 (2022). https://doi.org/10.3934/dcds.2022091.
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[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., N. Outada, J. Soler, Y. Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models and Methods in Applied Sciences 32, no. 04 (2022): 713–92. https://doi.org/10.1142/s0218202522500166.
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[84]
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” Journal of Evolution Equations 22, no. 1 (2022). https://doi.org/10.1007/s00028-022-00768-9.
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[83]
2022 | Journal Article | LibreCat-ID: 63299
Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” SIAM Journal on Mathematical Analysis 54, no. 4 (2022): 4806–64. https://doi.org/10.1137/21m1449841.
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[82]
2022 | Journal Article | LibreCat-ID: 63298
Stevens, Angela, and Michael Winkler. “Taxis-Driven Persistent Localization in a Degenerate Keller-Segel System.” Communications in Partial Differential Equations 47, no. 12 (2022): 2341–62. https://doi.org/10.1080/03605302.2022.2122836.
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[81]
2022 | Journal Article | LibreCat-ID: 63266
Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations 36, no. 2 (2022): 1677–1702. https://doi.org/10.1007/s10884-022-10167-w.
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[80]
2022 | Journal Article | LibreCat-ID: 63272
Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” Journal of Differential Equations 343 (2022): 390–418. https://doi.org/10.1016/j.jde.2022.10.022.
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[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis 226 (2022). https://doi.org/10.1016/j.na.2022.113153.
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[78]
2022 | Journal Article | LibreCat-ID: 63278
Winkler, Michael. “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, no. 19 (2022): 16336–93. https://doi.org/10.1093/imrn/rnac286.
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[77]
2022 | Journal Article | LibreCat-ID: 63279
Winkler, Michael. “Does Leray’s Structure Theorem Withstand Buoyancy-Driven Chemotaxis-Fluid Interaction?” Journal of the European Mathematical Society 25, no. 4 (2022): 1423–56. https://doi.org/10.4171/jems/1226.
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[76]
2022 | Journal Article | LibreCat-ID: 63274
Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153, no. 4 (2022): 1150–66. https://doi.org/10.1017/prm.2022.39.
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[75]
2022 | Journal Article | LibreCat-ID: 63282
Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” Communications in Contemporary Mathematics 25, no. 10 (2022). https://doi.org/10.1142/s0219199722500626.
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[74]
2021 | Journal Article | LibreCat-ID: 35615
Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
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[73]
2021 | Journal Article | LibreCat-ID: 35614
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.
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[72]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.
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[71]
2021 | Journal Article | LibreCat-ID: 35613
Winkler, Michael. “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 (2021): 219–68.
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[70]
2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
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[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
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[68]
2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
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[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations 46 (2021): 1058–91.
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[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
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[65]
2021 | Journal Article | LibreCat-ID: 63313
Ding, Mengyao, and Michael Winkler. “Small-Density Solutions in Keller–Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equations and Applications NoDEA 28, no. 5 (2021). https://doi.org/10.1007/s00030-021-00709-4.
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[64]
2021 | Journal Article | LibreCat-ID: 63308
Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2021). https://doi.org/10.1016/j.nonrwa.2021.103407.
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[63]
2021 | Journal Article | LibreCat-ID: 63307
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2021): 74–97. https://doi.org/10.1016/j.jde.2021.11.026.
LibreCat | DOI
 
[62]
2021 | Journal Article | LibreCat-ID: 63316
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53, no. 2 (2021): 1411–33. https://doi.org/10.1137/20m1362851.
LibreCat | DOI
 
[61]
2021 | Journal Article | LibreCat-ID: 63319
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis 208 (2021). https://doi.org/10.1016/j.na.2021.112324.
LibreCat | DOI
 
[60]
2021 | Journal Article | LibreCat-ID: 63291
Black, Tobias, and Michael Winkler. “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, no. 01 (2021): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, NANCY, and Michael Winkler. “On the Global Existence and Qualitative Behaviour of One-Dimensional Solutions to a Model for Urban Crime.” European Journal of Applied Mathematics 33, no. 5 (2021): 919–59. https://doi.org/10.1017/s0956792521000279.
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving Arbitrary Superlinear Degradation.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021, 141–72. https://doi.org/10.2422/2036-2145.202005_016.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021. https://doi.org/10.2422/2036-2145.201603_004.
LibreCat | DOI
 
[56]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.
LibreCat
 
[55]
2020 | Journal Article | LibreCat-ID: 37380
Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
 
[54]
2020 | Journal Article | LibreCat-ID: 37367
Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.
LibreCat
 
[53]
2020 | Journal Article | LibreCat-ID: 37375
Winkler, Michael. “Attractiveness  of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.
LibreCat
 
[52]
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.
LibreCat
 
[51]
2020 | Journal Article | LibreCat-ID: 37349
Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20, no. 4 (2020): 795–817. https://doi.org/10.1515/ans-2020-2107.
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169, no. 1 (2020): 577–91. https://doi.org/10.1007/s10440-020-00312-2.
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141, no. 2 (2020): 585–624. https://doi.org/10.1007/s11854-020-0109-4.
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30, no. 4 (2020): 1809–47. https://doi.org/10.1007/s00332-020-09625-w.
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models and Methods in Applied Sciences 30, no. 11 (2020): 2105–37. https://doi.org/10.1142/s0218202520500396.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, Genglin, Youshan Tao, and Michael Winkler. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B 25, no. 11 (2020): 4383–96. https://doi.org/10.3934/dcdsb.2020102.
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller–Segel–Navier–Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2020). https://doi.org/10.1016/j.nonrwa.2020.103257.
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020). https://doi.org/10.1016/j.na.2020.111870.
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Winkler, Michael. “Boundedness in a Three-Dimensional Keller–Segel–Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2020). https://doi.org/10.1016/j.aml.2020.106785.
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete &amp; Continuous Dynamical Systems - A 41, no. 1 (2020): 439–54. https://doi.org/10.3934/dcds.2020216.
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations.” SIAM Journal on Mathematical Analysis 52, no. 2 (2020): 2041–80. https://doi.org/10.1137/19m1264199.
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
TAO, YOUSHAN, and Michael Winkler. “A Critical Virus Production Rate for Efficiency of Oncolytic Virotherapy.” European Journal of Applied Mathematics 32, no. 2 (2020): 301–16. https://doi.org/10.1017/s0956792520000133.
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU, CHRISTINA, and Michael Winkler. “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, no. 4 (2020): 618–51. https://doi.org/10.1017/s0956792520000236.
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.” Journal of Dynamics and Differential Equations 36, no. S1 (2020): 3–23. https://doi.org/10.1007/s10884-020-09892-x.
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?” International Mathematics Research Notices 2021, no. 11 (2019): 8106–52. https://doi.org/10.1093/imrn/rnz056.
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in L1.” Advances in Nonlinear Analysis 9, no. 1 (2019): 526–66. https://doi.org/10.1515/anona-2020-0013.
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268, no. 9 (2019): 4973–97. https://doi.org/10.1016/j.jde.2019.10.046.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, Nicola, Kevin J. Painter, Youshan Tao, and Michael Winkler. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics 79, no. 5 (2019): 1990–2010. https://doi.org/10.1137/19m1250261.
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population Model with Cross‐diffusion for One Species.” Proceedings of the London Mathematical Society 119, no. 6 (2019): 1598–1632. https://doi.org/10.1112/plms.12276.
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Tao, Youshan, and Michael Winkler. “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, no. 11 (2019): 2151–82. https://doi.org/10.1142/s021820251950043x.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising in Game Theory.” Israel Journal of Mathematics 233, no. 1 (2019): 249–96. https://doi.org/10.1007/s11856-019-1900-8.
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
Tao, Youshan, and Michael Winkler. “A Chemotaxis-Haptotaxis System with Haptoattractant Remodeling: Boundedness Enforced by Mild Saturation of Signal Production.” Communications on Pure &amp; Applied Analysis 18, no. 4 (2019): 2047–67. https://doi.org/10.3934/cpaa.2019092.
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic Nutrient Taxis System in Domains of Arbitrary Dimension.” Journal of Differential Equations 267, no. 1 (2019): 388–406. https://doi.org/10.1016/j.jde.2019.01.014.
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Lankeit, Johannes, and Michael Winkler. “Facing Low Regularity in Chemotaxis Systems.” Jahresbericht Der Deutschen Mathematiker-Vereinigung 122, no. 1 (2019): 35–64. https://doi.org/10.1365/s13291-019-00210-z.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, Piotr, Michael Winkler, and Dariusz Wrzosek. “Migration-Driven Benefit in a Two-Species Nutrient Taxis System.” Nonlinear Analysis: Real World Applications 48 (2019): 94–116. https://doi.org/10.1016/j.nonrwa.2019.01.006.
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Winkler, Michael. “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, no. 6 (2019): 1747–90. https://doi.org/10.1016/j.anihpc.2019.02.004.
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Winkler, Michael. “Global Generalized Solutions to a Multi-Dimensional Doubly Tactic Resource Consumption Model Accounting for Social Interactions.” Mathematical Models and Methods in Applied Sciences 29, no. 03 (2019): 373–418. https://doi.org/10.1142/s021820251950012x.
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Winkler, Michael. “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 (2019): 102–16. https://doi.org/10.1016/j.na.2019.01.017.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid) Systems.” Calculus of Variations and Partial Differential Equations 58, no. 6 (2019). https://doi.org/10.1007/s00526-019-1656-3.
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic Degradation in the Keller–Segel System?” Annali Di Matematica Pura Ed Applicata (1923 -) 198, no. 5 (2019): 1615–37. https://doi.org/10.1007/s10231-019-00834-z.
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Winkler, Michael. “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, no. 6 (2019). https://doi.org/10.1007/s00030-019-0600-8.
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Souplet, Philippe, and Michael Winkler. “Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions                                                                  $${n\geq 3}$$                                                                            n                      ≥                      3.” Communications in Mathematical Physics 367, no. 2 (2018): 665–81. https://doi.org/10.1007/s00220-018-3238-1.
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
Winkler, Michael. “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, no. 3–4 (2018): 1237–82. https://doi.org/10.1007/s00208-018-1722-8.
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Winkler, Michael. “Global Classical Solvability and Generic Infinite-Time Blow-up in Quasilinear Keller–Segel Systems with Bounded Sensitivities.” Journal of Differential Equations 266, no. 12 (2018): 8034–66. https://doi.org/10.1016/j.jde.2018.12.019.
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
Winkler, Michael. “A Three-Dimensional Keller–Segel–Navier–Stokes System with Logistic Source: Global Weak Solutions and Asymptotic Stabilization.” Journal of Functional Analysis 276, no. 5 (2018): 1339–1401. https://doi.org/10.1016/j.jfa.2018.12.009.
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Cao, Xinru, and Michael Winkler. “Sharp Decay Estimates in a Bioconvection Model with Quadratic Degradation in Bounded Domains.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 5 (2018): 939–55. https://doi.org/10.1017/s0308210518000057.
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Winkler, Michael. “Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity.” Acta Applicandae Mathematicae 163, no. 1 (2018): 1–17. https://doi.org/10.1007/s10440-018-0211-0.
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Espejo, Elio, and Michael Winkler. “Global Classical Solvability and Stabilization in a Two-Dimensional Chemotaxis-Navier–Stokes System Modeling Coral Fertilization.” Nonlinearity 31, no. 4 (2018): 1227–59. https://doi.org/10.1088/1361-6544/aa9d5f.
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Winkler, Michael. “Finite-Time Blow-up in Low-Dimensional Keller–Segel Systems with Logistic-Type Superlinear Degradation.” Zeitschrift Für Angewandte Mathematik Und Physik 69, no. 2 (2018). https://doi.org/10.1007/s00033-018-0935-8.
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Winkler, Michael. “Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?” Journal of Mathematical Fluid Mechanics 20, no. 4 (2018): 1889–1909. https://doi.org/10.1007/s00021-018-0395-0.
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Winkler, Michael. “Global Mass-Preserving Solutions in a Two-Dimensional Chemotaxis-Stokes System with Rotational Flux Components.” Journal of Evolution Equations 18, no. 3 (2018): 1267–89. https://doi.org/10.1007/s00028-018-0440-8.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Winkler, Michael. “Global Existence and Stabilization in a Degenerate Chemotaxis-Stokes System with Mildly Strong Diffusion Enhancement.” Journal of Differential Equations 264, no. 10 (2018): 6109–51. https://doi.org/10.1016/j.jde.2018.01.027.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
Winkler, Michael. “A Critical Blow-up Exponent in a Chemotaxis System with Nonlinear Signal Production.” Nonlinearity 31, no. 5 (2018): 2031–56. https://doi.org/10.1088/1361-6544/aaaa0e.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Winkler, Michael, and Tomomi Yokota. “Stabilization in the Logarithmic Keller–Segel System.” Nonlinear Analysis 170 (2018): 123–41. https://doi.org/10.1016/j.na.2018.01.002.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., K. J. PAINTER, and Michael Winkler. “Global Solvability and Explicit Bounds for Non-Local Adhesion Models.” European Journal of Applied Mathematics 29, no. 4 (2017): 645–84. https://doi.org/10.1017/s0956792517000328.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Mathematische Zeitschrift 289, no. 1–2 (2017): 71–108. https://doi.org/10.1007/s00209-017-1944-6.
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Winkler, Michael. “Singular Structure Formation in a Degenerate Haptotaxis Model Involving Myopic Diffusion.” Journal de Mathématiques Pures et Appliquées 112 (2017): 118–69. https://doi.org/10.1016/j.matpur.2017.11.002.
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
Winkler, Michael. “One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity.” Journal of Dynamics and Differential Equations 30, no. 1 (2017): 331–58. https://doi.org/10.1007/s10884-017-9577-3.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Winkler, Michael. “Renormalized Radial Large-Data Solutions to the Higher-Dimensional Keller–Segel System with Singular Sensitivity and Signal Absorption.” Journal of Differential Equations 264, no. 3 (2017): 2310–50. https://doi.org/10.1016/j.jde.2017.10.029.
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Bellomo, Nicola, and Michael Winkler. “Finite-Time Blow-up in a Degenerate Chemotaxis System with Flux Limitation.” Transactions of the American Mathematical Society, Series B 4, no. 2 (2017): 31–67. https://doi.org/10.1090/btran/17.
LibreCat | DOI
 
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[142]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025): 2465–2512. https://doi.org/10.1142/s0218202525500447.
LibreCat | DOI | Download (ext.) | arXiv
 
[141]
2025 | Journal Article | LibreCat-ID: 63250
Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik 76, no. 5 (2025). https://doi.org/10.1007/s00033-025-02582-y.
LibreCat | DOI
 
[140]
2025 | Journal Article | LibreCat-ID: 63249
Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations 25, no. 4 (2025). https://doi.org/10.1007/s00028-025-01144-z.
LibreCat | DOI
 
[139]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations 65, no. 1 (2025). https://doi.org/10.1007/s00526-025-03170-8.
LibreCat | DOI
 
[138]
2025 | Journal Article | LibreCat-ID: 63244
Winkler, Michael. “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, 2025. https://doi.org/10.4171/jems/1607.
LibreCat | DOI
 
[137]
2025 | Journal Article | LibreCat-ID: 63247
Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations 423 (2025): 197–239. https://doi.org/10.1016/j.jde.2024.12.040.
LibreCat | DOI
 
[136]
2025 | Journal Article | LibreCat-ID: 63252
Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics 68, no. 12 (2025): 2867–2900. https://doi.org/10.1007/s11425-023-2397-y.
LibreCat | DOI
 
[135]
2025 | Journal Article | LibreCat-ID: 63344
Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics &amp; Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
LibreCat | DOI
 
[134]
2025 | Journal Article | LibreCat-ID: 63242
Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations 11, no. 3 (2025): 2041–63. https://doi.org/10.1007/s41808-025-00316-9.
LibreCat | DOI
 
[133]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences 35, no. 02 (2025): 283–343. https://doi.org/10.1142/s0218202525400020.
LibreCat | DOI
 
[132]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies 24, no. 3 (2024): 592–615. https://doi.org/10.1515/ans-2023-0131.
LibreCat | DOI
 
[131]
2024 | Journal Article | LibreCat-ID: 63248
Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen 391, no. 2 (2024): 3023–54. https://doi.org/10.1007/s00208-024-02987-6.
LibreCat | DOI
 
[130]
2024 | Journal Article | LibreCat-ID: 63245
Winkler, Michael. “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, no. 6 (2024): 1601–30. https://doi.org/10.4171/aihpc/141.
LibreCat | DOI
 
[129]
2024 | Journal Article | LibreCat-ID: 63257
Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00954-x.
LibreCat | DOI
 
[128]
2024 | Journal Article | LibreCat-ID: 63253
Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity 37, no. 12 (2024). https://doi.org/10.1088/1361-6544/ad871a.
LibreCat | DOI
 
[127]
2024 | Journal Article | LibreCat-ID: 63254
Fuest, Mario, and Michael Winkler. “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, no. 4 (2024). https://doi.org/10.1007/s00021-024-00899-8.
LibreCat | DOI
 
[126]
2024 | Journal Article | LibreCat-ID: 63259
Wang, Yulan, and Michael Winkler. “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, no. 3 (2024). https://doi.org/10.1112/jlms.12885.
LibreCat | DOI
 
[125]
2024 | Journal Article | LibreCat-ID: 63258
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society 152, no. 10 (2024): 4325–41. https://doi.org/10.1090/proc/16867.
LibreCat | DOI
 
[124]
2024 | Journal Article | LibreCat-ID: 63256
Nikolić, Vanja, and Michael Winkler. “<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 (2024). https://doi.org/10.1016/j.na.2024.113600.
LibreCat | DOI
 
[123]
2024 | Journal Article | LibreCat-ID: 63260
Wang, Yulan, and Michael Winkler. “A Singular Growth Phenomenon in a Keller–Segel–Type Parabolic System Involving Density‐suppressed Motilities.” Mathematische Nachrichten 297, no. 6 (2024): 2353–64. https://doi.org/10.1002/mana.202300361.
LibreCat | DOI
 
[122]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics 263, no. 1 (2024): 93–127. https://doi.org/10.1007/s11856-024-2618-9.
LibreCat | DOI
 
[121]
2024 | Journal Article | LibreCat-ID: 63263
Winkler, Michael. “L∞ Bounds in a Two-Dimensional Doubly Degenerate Nutrient Taxis System with General Cross-Diffusive Flux.” Journal of Differential Equations 400 (2024): 423–56. https://doi.org/10.1016/j.jde.2024.04.028.
LibreCat | DOI
 
[120]
2023 | Journal Article | LibreCat-ID: 63285
Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921.
LibreCat | DOI
 
[119]
2023 | Journal Article | LibreCat-ID: 63288
Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics 21, no. 1 (2023). https://doi.org/10.1515/math-2022-0578.
LibreCat | DOI
 
[118]
2023 | Journal Article | LibreCat-ID: 63287
Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.
LibreCat | DOI
 
[117]
2023 | Journal Article | LibreCat-ID: 63289
Winkler, Michael, and Tomomi Yokota. “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 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.
LibreCat | DOI
 
[116]
2023 | Journal Article | LibreCat-ID: 63271
Tao, Youshan, and Michael Winkler. “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, no. 01 (2023): 103–38. https://doi.org/10.1142/s0218202523500045.
LibreCat | DOI
 
[115]
2023 | Journal Article | LibreCat-ID: 63267
Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations 62, no. 6 (2023). https://doi.org/10.1007/s00526-023-02523-5.
LibreCat | DOI
 
[114]
2023 | Journal Article | LibreCat-ID: 63270
Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences 21, no. 2 (2023): 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1.
LibreCat | DOI
 
[113]
2023 | Journal Article | LibreCat-ID: 63273
Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications 71 (2023). https://doi.org/10.1016/j.nonrwa.2022.103820.
LibreCat | DOI
 
[112]
2023 | Journal Article | LibreCat-ID: 63281
Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity 36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.
LibreCat | DOI
 
[111]
2023 | Journal Article | LibreCat-ID: 63276
Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” Mathematical Methods in the Applied Sciences 46, no. 14 (2023): 15667–83. https://doi.org/10.1002/mma.9419.
LibreCat | DOI
 
[110]
2023 | Journal Article | LibreCat-ID: 63275
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory 12, no. 6 (2023): 1676–87. https://doi.org/10.3934/eect.2023031.
LibreCat | DOI
 
[109]
2023 | Journal Article | LibreCat-ID: 63277
Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics 83, no. 5 (2023): 2096–2117. https://doi.org/10.1137/22m1539393.
LibreCat | DOI
 
[108]
2023 | Journal Article | LibreCat-ID: 63283
Winkler, Michael. “Global Generalized Solvability in a Strongly Degenerate Taxis-Type Parabolic System Modeling Migration–Consumption Interaction.” Zeitschrift Für Angewandte Mathematik Und Physik 74, no. 1 (2023). https://doi.org/10.1007/s00033-022-01925-3.
LibreCat | DOI
 
[107]
2023 | Journal Article | LibreCat-ID: 63255
Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis 103, no. 1 (2023): 45–64. https://doi.org/10.1080/00036811.2023.2173183.
LibreCat | DOI
 
[106]
2023 | Journal Article | LibreCat-ID: 63261
Winkler, Michael. “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, no. 1 (2023): 95–127. https://doi.org/10.4171/aihpc/73.
LibreCat | DOI
 
[105]
2023 | Journal Article | LibreCat-ID: 53338
Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” Studies in Applied Mathematics 151, no. 4 (2023): 1197–1229. https://doi.org/10.1111/sapm.12625.
LibreCat | DOI
 
[104]
2023 | Journal Article | LibreCat-ID: 63243
Colasuonno, Francesca, and Michael Winkler. “Stability vs.~instability of Singular Steady States in the Parabolic-Elliptic Keller-Segel System on $\R^n$.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2023. https://doi.org/10.2422/2036-2145.202303_006.
LibreCat | DOI
 
[103]
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.
LibreCat
 
[102]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.
LibreCat
 
[101]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.
LibreCat
 
[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.
LibreCat
 
[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.
LibreCat
 
[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “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 (2022): 985–1001.
LibreCat
 
[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.
LibreCat
 
[96]
2022 | Journal Article | LibreCat-ID: 35556
Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.
LibreCat
 
[95]
2022 | Journal Article | LibreCat-ID: 35532
Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis 21 (2022): 687–784.
LibreCat
 
[94]
2022 | Journal Article | LibreCat-ID: 63310
Winkler, Michael. “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, no. 1 (2022): 88–117. https://doi.org/10.1515/ans-2022-0004.
LibreCat | DOI
 
[93]
2022 | Journal Article | LibreCat-ID: 63305
Winkler, Michael. “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, no. 3 (2022). https://doi.org/10.1007/s00526-021-02168-2.
LibreCat | DOI
 
[92]
2022 | Journal Article | LibreCat-ID: 63311
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3, no. 4 (2022). https://doi.org/10.1007/s42985-022-00186-z.
LibreCat | DOI
 
[91]
2022 | Journal Article | LibreCat-ID: 63312
Winkler, Michael. “Approaching Logarithmic Singularities in Quasilinear Chemotaxis-Consumption Systems with Signal-Dependent Sensitivities.” Discrete and Continuous Dynamical Systems - B 27, no. 11 (2022). https://doi.org/10.3934/dcdsb.2022009.
LibreCat | DOI
 
[90]
2022 | Journal Article | LibreCat-ID: 63309
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller–Segel Type Cross‐diffusion Systems via Conditional L∞$L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295, no. 9 (2022): 1840–62. https://doi.org/10.1002/mana.202000403.
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 63306
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limiation in a Keller-Segel System.” Indiana University Mathematics Journal 71, no. 4 (2022): 1437–65. https://doi.org/10.1512/iumj.2022.71.9042.
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 63284
Winkler, Michael. “Application of the Moser–Trudinger Inequality in the Construction of Global Solutions to a Strongly Degenerate Migration Model.” Bulletin of Mathematical Sciences 13, no. 02 (2022). https://doi.org/10.1142/s1664360722500126.
LibreCat | DOI
 
[87]
2022 | Journal Article | LibreCat-ID: 63286
Winkler, Michael. “Exponential Grow-up Rates in a Quasilinear Keller–Segel System.” Asymptotic Analysis 131, no. 1 (2022): 33–57. https://doi.org/10.3233/asy-221765.
LibreCat | DOI
 
[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $  \mathbb{R}^3 $.” Discrete and Continuous Dynamical Systems 42, no. 11 (2022). https://doi.org/10.3934/dcds.2022091.
LibreCat | DOI
 
[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., N. Outada, J. Soler, Y. Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models and Methods in Applied Sciences 32, no. 04 (2022): 713–92. https://doi.org/10.1142/s0218202522500166.
LibreCat | DOI
 
[84]
2022 | Journal Article | LibreCat-ID: 63295
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” Journal of Evolution Equations 22, no. 1 (2022). https://doi.org/10.1007/s00028-022-00768-9.
LibreCat | DOI
 
[83]
2022 | Journal Article | LibreCat-ID: 63299
Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” SIAM Journal on Mathematical Analysis 54, no. 4 (2022): 4806–64. https://doi.org/10.1137/21m1449841.
LibreCat | DOI
 
[82]
2022 | Journal Article | LibreCat-ID: 63298
Stevens, Angela, and Michael Winkler. “Taxis-Driven Persistent Localization in a Degenerate Keller-Segel System.” Communications in Partial Differential Equations 47, no. 12 (2022): 2341–62. https://doi.org/10.1080/03605302.2022.2122836.
LibreCat | DOI
 
[81]
2022 | Journal Article | LibreCat-ID: 63266
Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” Journal of Dynamics and Differential Equations 36, no. 2 (2022): 1677–1702. https://doi.org/10.1007/s10884-022-10167-w.
LibreCat | DOI
 
[80]
2022 | Journal Article | LibreCat-ID: 63272
Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” Journal of Differential Equations 343 (2022): 390–418. https://doi.org/10.1016/j.jde.2022.10.022.
LibreCat | DOI
 
[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis 226 (2022). https://doi.org/10.1016/j.na.2022.113153.
LibreCat | DOI
 
[78]
2022 | Journal Article | LibreCat-ID: 63278
Winkler, Michael. “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, no. 19 (2022): 16336–93. https://doi.org/10.1093/imrn/rnac286.
LibreCat | DOI
 
[77]
2022 | Journal Article | LibreCat-ID: 63279
Winkler, Michael. “Does Leray’s Structure Theorem Withstand Buoyancy-Driven Chemotaxis-Fluid Interaction?” Journal of the European Mathematical Society 25, no. 4 (2022): 1423–56. https://doi.org/10.4171/jems/1226.
LibreCat | DOI
 
[76]
2022 | Journal Article | LibreCat-ID: 63274
Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153, no. 4 (2022): 1150–66. https://doi.org/10.1017/prm.2022.39.
LibreCat | DOI
 
[75]
2022 | Journal Article | LibreCat-ID: 63282
Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” Communications in Contemporary Mathematics 25, no. 10 (2022). https://doi.org/10.1142/s0219199722500626.
LibreCat | DOI
 
[74]
2021 | Journal Article | LibreCat-ID: 35615
Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat
 
[73]
2021 | Journal Article | LibreCat-ID: 35614
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.
LibreCat
 
[72]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.
LibreCat
 
[71]
2021 | Journal Article | LibreCat-ID: 35613
Winkler, Michael. “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 (2021): 219–68.
LibreCat
 
[70]
2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
LibreCat
 
[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
LibreCat
 
[68]
2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
LibreCat
 
[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations 46 (2021): 1058–91.
LibreCat
 
[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
LibreCat
 
[65]
2021 | Journal Article | LibreCat-ID: 63313
Ding, Mengyao, and Michael Winkler. “Small-Density Solutions in Keller–Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equations and Applications NoDEA 28, no. 5 (2021). https://doi.org/10.1007/s00030-021-00709-4.
LibreCat | DOI
 
[64]
2021 | Journal Article | LibreCat-ID: 63308
Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2021). https://doi.org/10.1016/j.nonrwa.2021.103407.
LibreCat | DOI
 
[63]
2021 | Journal Article | LibreCat-ID: 63307
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2021): 74–97. https://doi.org/10.1016/j.jde.2021.11.026.
LibreCat | DOI
 
[62]
2021 | Journal Article | LibreCat-ID: 63316
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53, no. 2 (2021): 1411–33. https://doi.org/10.1137/20m1362851.
LibreCat | DOI
 
[61]
2021 | Journal Article | LibreCat-ID: 63319
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis 208 (2021). https://doi.org/10.1016/j.na.2021.112324.
LibreCat | DOI
 
[60]
2021 | Journal Article | LibreCat-ID: 63291
Black, Tobias, and Michael Winkler. “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, no. 01 (2021): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat | DOI
 
[59]
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, NANCY, and Michael Winkler. “On the Global Existence and Qualitative Behaviour of One-Dimensional Solutions to a Model for Urban Crime.” European Journal of Applied Mathematics 33, no. 5 (2021): 919–59. https://doi.org/10.1017/s0956792521000279.
LibreCat | DOI
 
[58]
2021 | Journal Article | LibreCat-ID: 53333
Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving Arbitrary Superlinear Degradation.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021, 141–72. https://doi.org/10.2422/2036-2145.202005_016.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021. https://doi.org/10.2422/2036-2145.201603_004.
LibreCat | DOI
 
[56]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.
LibreCat
 
[55]
2020 | Journal Article | LibreCat-ID: 37380
Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
 
[54]
2020 | Journal Article | LibreCat-ID: 37367
Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.
LibreCat
 
[53]
2020 | Journal Article | LibreCat-ID: 37375
Winkler, Michael. “Attractiveness  of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.
LibreCat
 
[52]
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.
LibreCat
 
[51]
2020 | Journal Article | LibreCat-ID: 37349
Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.
LibreCat
 
[50]
2020 | Journal Article | LibreCat-ID: 63340
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20, no. 4 (2020): 795–817. https://doi.org/10.1515/ans-2020-2107.
LibreCat | DOI
 
[49]
2020 | Journal Article | LibreCat-ID: 63342
Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169, no. 1 (2020): 577–91. https://doi.org/10.1007/s10440-020-00312-2.
LibreCat | DOI
 
[48]
2020 | Journal Article | LibreCat-ID: 63336
Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141, no. 2 (2020): 585–624. https://doi.org/10.1007/s11854-020-0109-4.
LibreCat | DOI
 
[47]
2020 | Journal Article | LibreCat-ID: 63329
Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30, no. 4 (2020): 1809–47. https://doi.org/10.1007/s00332-020-09625-w.
LibreCat | DOI
 
[46]
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models and Methods in Applied Sciences 30, no. 11 (2020): 2105–37. https://doi.org/10.1142/s0218202520500396.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, Genglin, Youshan Tao, and Michael Winkler. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B 25, no. 11 (2020): 4383–96. https://doi.org/10.3934/dcdsb.2020102.
LibreCat | DOI
 
[44]
2020 | Journal Article | LibreCat-ID: 63327
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller–Segel–Navier–Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2020). https://doi.org/10.1016/j.nonrwa.2020.103257.
LibreCat | DOI
 
[43]
2020 | Journal Article | LibreCat-ID: 63333
Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020). https://doi.org/10.1016/j.na.2020.111870.
LibreCat | DOI
 
[42]
2020 | Journal Article | LibreCat-ID: 63328
Winkler, Michael. “Boundedness in a Three-Dimensional Keller–Segel–Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2020). https://doi.org/10.1016/j.aml.2020.106785.
LibreCat | DOI
 
[41]
2020 | Journal Article | LibreCat-ID: 63320
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete &amp; Continuous Dynamical Systems - A 41, no. 1 (2020): 439–54. https://doi.org/10.3934/dcds.2020216.
LibreCat | DOI
 
[40]
2020 | Journal Article | LibreCat-ID: 63335
Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations.” SIAM Journal on Mathematical Analysis 52, no. 2 (2020): 2041–80. https://doi.org/10.1137/19m1264199.
LibreCat | DOI
 
[39]
2020 | Journal Article | LibreCat-ID: 63318
TAO, YOUSHAN, and Michael Winkler. “A Critical Virus Production Rate for Efficiency of Oncolytic Virotherapy.” European Journal of Applied Mathematics 32, no. 2 (2020): 301–16. https://doi.org/10.1017/s0956792520000133.
LibreCat | DOI
 
[38]
2020 | Journal Article | LibreCat-ID: 63314
SURULESCU, CHRISTINA, and Michael Winkler. “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, no. 4 (2020): 618–51. https://doi.org/10.1017/s0956792520000236.
LibreCat | DOI
 
[37]
2020 | Journal Article | LibreCat-ID: 63265
Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.” Journal of Dynamics and Differential Equations 36, no. S1 (2020): 3–23. https://doi.org/10.1007/s10884-020-09892-x.
LibreCat | DOI
 
[36]
2019 | Journal Article | LibreCat-ID: 63325
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?” International Mathematics Research Notices 2021, no. 11 (2019): 8106–52. https://doi.org/10.1093/imrn/rnz056.
LibreCat | DOI
 
[35]
2019 | Journal Article | LibreCat-ID: 63337
Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in L1.” Advances in Nonlinear Analysis 9, no. 1 (2019): 526–66. https://doi.org/10.1515/anona-2020-0013.
LibreCat | DOI
 
[34]
2019 | Journal Article | LibreCat-ID: 63334
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268, no. 9 (2019): 4973–97. https://doi.org/10.1016/j.jde.2019.10.046.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, Nicola, Kevin J. Painter, Youshan Tao, and Michael Winkler. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics 79, no. 5 (2019): 1990–2010. https://doi.org/10.1137/19m1250261.
LibreCat | DOI
 
[32]
2019 | Journal Article | LibreCat-ID: 63355
Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population Model with Cross‐diffusion for One Species.” Proceedings of the London Mathematical Society 119, no. 6 (2019): 1598–1632. https://doi.org/10.1112/plms.12276.
LibreCat | DOI
 
[31]
2019 | Journal Article | LibreCat-ID: 63356
Tao, Youshan, and Michael Winkler. “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, no. 11 (2019): 2151–82. https://doi.org/10.1142/s021820251950043x.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 63352
Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising in Game Theory.” Israel Journal of Mathematics 233, no. 1 (2019): 249–96. https://doi.org/10.1007/s11856-019-1900-8.
LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 63358
Tao, Youshan, and Michael Winkler. “A Chemotaxis-Haptotaxis System with Haptoattractant Remodeling: Boundedness Enforced by Mild Saturation of Signal Production.” Communications on Pure &amp; Applied Analysis 18, no. 4 (2019): 2047–67. https://doi.org/10.3934/cpaa.2019092.
LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 63357
Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic Nutrient Taxis System in Domains of Arbitrary Dimension.” Journal of Differential Equations 267, no. 1 (2019): 388–406. https://doi.org/10.1016/j.jde.2019.01.014.
LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 63353
Lankeit, Johannes, and Michael Winkler. “Facing Low Regularity in Chemotaxis Systems.” Jahresbericht Der Deutschen Mathematiker-Vereinigung 122, no. 1 (2019): 35–64. https://doi.org/10.1365/s13291-019-00210-z.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, Piotr, Michael Winkler, and Dariusz Wrzosek. “Migration-Driven Benefit in a Two-Species Nutrient Taxis System.” Nonlinear Analysis: Real World Applications 48 (2019): 94–116. https://doi.org/10.1016/j.nonrwa.2019.01.006.
LibreCat | DOI
 
[25]
2019 | Journal Article | LibreCat-ID: 63362
Winkler, Michael. “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, no. 6 (2019): 1747–90. https://doi.org/10.1016/j.anihpc.2019.02.004.
LibreCat | DOI
 
[24]
2019 | Journal Article | LibreCat-ID: 63363
Winkler, Michael. “Global Generalized Solutions to a Multi-Dimensional Doubly Tactic Resource Consumption Model Accounting for Social Interactions.” Mathematical Models and Methods in Applied Sciences 29, no. 03 (2019): 373–418. https://doi.org/10.1142/s021820251950012x.
LibreCat | DOI
 
[23]
2019 | Journal Article | LibreCat-ID: 63366
Winkler, Michael. “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 (2019): 102–16. https://doi.org/10.1016/j.na.2019.01.017.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid) Systems.” Calculus of Variations and Partial Differential Equations 58, no. 6 (2019). https://doi.org/10.1007/s00526-019-1656-3.
LibreCat | DOI
 
[21]
2019 | Journal Article | LibreCat-ID: 63364
Winkler, Michael. “How Strong Singularities Can Be Regularized by Logistic Degradation in the Keller–Segel System?” Annali Di Matematica Pura Ed Applicata (1923 -) 198, no. 5 (2019): 1615–37. https://doi.org/10.1007/s10231-019-00834-z.
LibreCat | DOI
 
[20]
2019 | Journal Article | LibreCat-ID: 63367
Winkler, Michael. “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, no. 6 (2019). https://doi.org/10.1007/s00030-019-0600-8.
LibreCat | DOI
 
[19]
2018 | Journal Article | LibreCat-ID: 63354
Souplet, Philippe, and Michael Winkler. “Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions                                                                  $${n\geq 3}$$                                                                            n                      ≥                      3.” Communications in Mathematical Physics 367, no. 2 (2018): 665–81. https://doi.org/10.1007/s00220-018-3238-1.
LibreCat | DOI
 
[18]
2018 | Journal Article | LibreCat-ID: 63361
Winkler, Michael. “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, no. 3–4 (2018): 1237–82. https://doi.org/10.1007/s00208-018-1722-8.
LibreCat | DOI
 
[17]
2018 | Journal Article | LibreCat-ID: 63365
Winkler, Michael. “Global Classical Solvability and Generic Infinite-Time Blow-up in Quasilinear Keller–Segel Systems with Bounded Sensitivities.” Journal of Differential Equations 266, no. 12 (2018): 8034–66. https://doi.org/10.1016/j.jde.2018.12.019.
LibreCat | DOI
 
[16]
2018 | Journal Article | LibreCat-ID: 63360
Winkler, Michael. “A Three-Dimensional Keller–Segel–Navier–Stokes System with Logistic Source: Global Weak Solutions and Asymptotic Stabilization.” Journal of Functional Analysis 276, no. 5 (2018): 1339–1401. https://doi.org/10.1016/j.jfa.2018.12.009.
LibreCat | DOI
 
[15]
2018 | Journal Article | LibreCat-ID: 63369
Cao, Xinru, and Michael Winkler. “Sharp Decay Estimates in a Bioconvection Model with Quadratic Degradation in Bounded Domains.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 5 (2018): 939–55. https://doi.org/10.1017/s0308210518000057.
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 63368
Winkler, Michael. “Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity.” Acta Applicandae Mathematicae 163, no. 1 (2018): 1–17. https://doi.org/10.1007/s10440-018-0211-0.
LibreCat | DOI
 
[13]
2018 | Journal Article | LibreCat-ID: 63370
Espejo, Elio, and Michael Winkler. “Global Classical Solvability and Stabilization in a Two-Dimensional Chemotaxis-Navier–Stokes System Modeling Coral Fertilization.” Nonlinearity 31, no. 4 (2018): 1227–59. https://doi.org/10.1088/1361-6544/aa9d5f.
LibreCat | DOI
 
[12]
2018 | Journal Article | LibreCat-ID: 63377
Winkler, Michael. “Finite-Time Blow-up in Low-Dimensional Keller–Segel Systems with Logistic-Type Superlinear Degradation.” Zeitschrift Für Angewandte Mathematik Und Physik 69, no. 2 (2018). https://doi.org/10.1007/s00033-018-0935-8.
LibreCat | DOI
 
[11]
2018 | Journal Article | LibreCat-ID: 63375
Winkler, Michael. “Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?” Journal of Mathematical Fluid Mechanics 20, no. 4 (2018): 1889–1909. https://doi.org/10.1007/s00021-018-0395-0.
LibreCat | DOI
 
[10]
2018 | Journal Article | LibreCat-ID: 63381
Winkler, Michael. “Global Mass-Preserving Solutions in a Two-Dimensional Chemotaxis-Stokes System with Rotational Flux Components.” Journal of Evolution Equations 18, no. 3 (2018): 1267–89. https://doi.org/10.1007/s00028-018-0440-8.
LibreCat | DOI
 
[9]
2018 | Journal Article | LibreCat-ID: 63380
Winkler, Michael. “Global Existence and Stabilization in a Degenerate Chemotaxis-Stokes System with Mildly Strong Diffusion Enhancement.” Journal of Differential Equations 264, no. 10 (2018): 6109–51. https://doi.org/10.1016/j.jde.2018.01.027.
LibreCat | DOI
 
[8]
2018 | Journal Article | LibreCat-ID: 63376
Winkler, Michael. “A Critical Blow-up Exponent in a Chemotaxis System with Nonlinear Signal Production.” Nonlinearity 31, no. 5 (2018): 2031–56. https://doi.org/10.1088/1361-6544/aaaa0e.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 63382
Winkler, Michael, and Tomomi Yokota. “Stabilization in the Logarithmic Keller–Segel System.” Nonlinear Analysis 170 (2018): 123–41. https://doi.org/10.1016/j.na.2018.01.002.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., K. J. PAINTER, and Michael Winkler. “Global Solvability and Explicit Bounds for Non-Local Adhesion Models.” European Journal of Applied Mathematics 29, no. 4 (2017): 645–84. https://doi.org/10.1017/s0956792517000328.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Mathematische Zeitschrift 289, no. 1–2 (2017): 71–108. https://doi.org/10.1007/s00209-017-1944-6.
LibreCat | DOI
 
[4]
2017 | Journal Article | LibreCat-ID: 63374
Winkler, Michael. “Singular Structure Formation in a Degenerate Haptotaxis Model Involving Myopic Diffusion.” Journal de Mathématiques Pures et Appliquées 112 (2017): 118–69. https://doi.org/10.1016/j.matpur.2017.11.002.
LibreCat | DOI
 
[3]
2017 | Journal Article | LibreCat-ID: 63378
Winkler, Michael. “One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity.” Journal of Dynamics and Differential Equations 30, no. 1 (2017): 331–58. https://doi.org/10.1007/s10884-017-9577-3.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 63379
Winkler, Michael. “Renormalized Radial Large-Data Solutions to the Higher-Dimensional Keller–Segel System with Singular Sensitivity and Signal Absorption.” Journal of Differential Equations 264, no. 3 (2017): 2310–50. https://doi.org/10.1016/j.jde.2017.10.029.
LibreCat | DOI
 
[1]
2017 | Journal Article | LibreCat-ID: 63383
Bellomo, Nicola, and Michael Winkler. “Finite-Time Blow-up in a Degenerate Chemotaxis System with Flux Limitation.” Transactions of the American Mathematical Society, Series B 4, no. 2 (2017): 31–67. https://doi.org/10.1090/btran/17.
LibreCat | DOI
 
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