Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

145 Publications

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[145]
2026 | Journal Article | LibreCat-ID: 63435
Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear Analysis: Real World Applications, vol. 91, Elsevier BV, 2026, p. 104580, doi:10.1016/j.nonrwa.2025.104580.
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[144]
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, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:10.1007/s00033-025-02582-y.
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[143]
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, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:10.1007/s00028-025-01144-z.
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[142]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:10.1007/s00526-025-03170-8.
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[141]
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, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:10.4171/jems/1607.
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[140]
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, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:10.1016/j.jde.2024.12.040.
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[139]
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, vol. 68, no. 12, Springer Science and Business Media LLC, 2025, pp. 2867–900, doi:10.1007/s11425-023-2397-y.
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[138]
2025 | Journal Article | LibreCat-ID: 63344
Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
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[137]
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, vol. 11, no. 3, Springer Science and Business Media LLC, 2025, pp. 2041–63, doi:10.1007/s41808-025-00316-9.
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[136]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, World Scientific Pub Co Pte Ltd, 2025, pp. 283–343, doi:10.1142/s0218202525400020.
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[135]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:10.1142/s0218202525500447.
LibreCat | DOI | Download (ext.) | arXiv
 
[134]
2025 | Journal Article | LibreCat-ID: 59258
Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
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[133]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies, vol. 24, no. 3, Walter de Gruyter GmbH, 2024, pp. 592–615, doi:10.1515/ans-2023-0131.
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[132]
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, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:10.1007/s00208-024-02987-6.
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[131]
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, vol. 42, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2024, pp. 1601–30, doi:10.4171/aihpc/141.
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[130]
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, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.
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[129]
2024 | Journal Article | LibreCat-ID: 63253
Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:10.1088/1361-6544/ad871a.
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[128]
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, vol. 26, no. 4, 60, Springer Science and Business Media LLC, 2024, doi:10.1007/s00021-024-00899-8.
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[127]
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, vol. 109, no. 3, e12885, Wiley, 2024, doi:10.1112/jlms.12885.
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[126]
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, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:10.1090/proc/16867.
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[125]
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, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
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[124]
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, vol. 297, no. 6, Wiley, 2024, pp. 2353–64, doi:10.1002/mana.202300361.
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[123]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:10.1007/s11856-024-2618-9.
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[122]
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, vol. 400, Elsevier BV, 2024, pp. 423–56, doi:10.1016/j.jde.2024.04.028.
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[121]
2024 | Journal Article | LibreCat-ID: 57820
Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson Equation.” Nonlinear Analysis, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
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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, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi: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, vol. 21, no. 1, 20220578, Walter de Gruyter GmbH, 2023, doi: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, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi: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, vol. 374, Elsevier BV, 2023, pp. 1–28, doi: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, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi: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, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi: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, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi: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, vol. 71, 103820, Elsevier BV, 2023, doi: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, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi: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, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi: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, vol. 12, no. 6, American Institute of Mathematical Sciences (AIMS), 2023, pp. 1676–87, doi: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, vol. 83, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2096–117, doi: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, vol. 74, no. 1, 32, Springer Science and Business Media LLC, 2023, doi:10.1007/s00033-022-01925-3.
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[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, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi: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, vol. 41, no. 1, European Mathematical Society - EMS - Publishing House GmbH, 2023, pp. 95–127, doi: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, vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi: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, 286, Scuola Normale Superiore - Edizioni della Normale, 2023, doi: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, vol. 35, 2022, pp. 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, vol. 389, 2022, pp. 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, vol. 124, 2022, pp. 133–81.
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[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
 
[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
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[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “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), vol. 38, 2022, pp. 985–1001.
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[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 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, vol. 152, 2022, pp. 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, vol. 21, 2022, pp. 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, vol. 22, no. 1, Walter de Gruyter GmbH, 2022, pp. 88–117, doi: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, vol. 61, no. 3, 108, Springer Science and Business Media LLC, 2022, doi: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, vol. 3, no. 4, 47, Springer Science and Business Media LLC, 2022, doi: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, vol. 27, no. 11, 6565, American Institute of Mathematical Sciences (AIMS), 2022, doi: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, vol. 295, no. 9, Wiley, 2022, pp. 1840–62, doi: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, vol. 71, no. 4, Indiana University Mathematics Journal, 2022, pp. 1437–65, doi: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, vol. 13, no. 02, 2250012, World Scientific Pub Co Pte Ltd, 2022, doi: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, vol. 131, no. 1, SAGE Publications, 2022, pp. 33–57, doi:10.3233/asy-221765.
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[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $  \mathbb{R}^3 $.” Discrete and Continuous Dynamical Systems, vol. 42, no. 11, 5201, American Institute of Mathematical Sciences (AIMS), 2022, doi:10.3934/dcds.2022091.
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[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 04, World Scientific Pub Co Pte Ltd, 2022, pp. 713–92, doi: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, vol. 22, no. 1, 14, Springer Science and Business Media LLC, 2022, doi: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, vol. 54, no. 4, Society for Industrial & Applied Mathematics (SIAM), 2022, pp. 4806–64, doi: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, vol. 47, no. 12, Informa UK Limited, 2022, pp. 2341–62, doi: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, vol. 36, no. 2, Springer Science and Business Media LLC, 2022, pp. 1677–702, doi: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, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:10.1016/j.jde.2022.10.022.
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[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis, vol. 226, 113153, Elsevier BV, 2022, doi: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, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi: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, vol. 25, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 1423–56, doi: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, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi: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, vol. 25, no. 10, 2250062, World Scientific Pub Co Pte Ltd, 2022, doi: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, vol. 72, 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, vol. 2021, 2021, pp. 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, vol. 112, 2021, p. 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, vol. 374, 2021, pp. 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, vol. 281, 109069, 2021.
LibreCat
 
[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics, vol. 64, 2021, pp. 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, vol. 19, 2021, pp. 829–49.
LibreCat
 
[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, et al. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations, vol. 46, 2021, pp. 1058–91.
LibreCat
 
[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis, vol. 10, 2021, pp. 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, vol. 28, no. 5, 47, Springer Science and Business Media LLC, 2021, doi: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, vol. 63, 103407, Elsevier BV, 2021, doi: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, vol. 309, Elsevier BV, 2021, pp. 74–97, doi: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, vol. 53, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2021, pp. 1411–33, doi: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, vol. 208, 112324, Elsevier BV, 2021, doi: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, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2021, pp. 137–73, doi: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, vol. 33, no. 5, Cambridge University Press (CUP), 2021, pp. 919–59, doi: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, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72, doi:10.2422/2036-2145.202005_016.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, et al. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 421–466, Scuola Normale Superiore - Edizioni della Normale, 2021, doi: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, vol. 33, 2020, pp. 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, vol. 71, 10, 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, vol. 33, 2020, pp. 6590–623.
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, vol. 20, 2020, pp. 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, vol. 30, 2020, pp. 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, vol. 40, 2020, pp. 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, vol. 20, no. 4, Walter de Gruyter GmbH, 2020, pp. 795–817, doi: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, vol. 169, no. 1, Springer Science and Business Media LLC, 2020, pp. 577–91, doi: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, vol. 141, no. 2, Springer Science and Business Media LLC, 2020, pp. 585–624, doi: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, vol. 30, no. 4, Springer Science and Business Media LLC, 2020, pp. 1809–47, doi: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, vol. 30, no. 11, World Scientific Pub Co Pte Ltd, 2020, pp. 2105–37, doi:10.1142/s0218202520500396.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, Genglin, et al. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B, vol. 25, no. 11, American Institute of Mathematical Sciences (AIMS), 2020, pp. 4383–96, doi: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, vol. 59, 103257, Elsevier BV, 2020, doi: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, vol. 198, 111870, Elsevier BV, 2020, doi: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, vol. 112, 106785, Elsevier BV, 2020, doi: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, vol. 41, no. 1, American Institute of Mathematical Sciences (AIMS), 2020, pp. 439–54, doi: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, vol. 52, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2020, pp. 2041–80, doi: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, vol. 32, no. 2, Cambridge University Press (CUP), 2020, pp. 301–16, doi: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, vol. 32, no. 4, Cambridge University Press (CUP), 2020, pp. 618–51, doi: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, vol. 36, no. S1, Springer Science and Business Media LLC, 2020, pp. 3–23, doi: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, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8106–52, doi: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, vol. 9, no. 1, Walter de Gruyter GmbH, 2019, pp. 526–66, doi: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, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97, doi:10.1016/j.jde.2019.10.046.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, Nicola, et al. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics, vol. 79, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2019, pp. 1990–2010, doi: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, vol. 119, no. 6, Wiley, 2019, pp. 1598–632, doi: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, vol. 29, no. 11, World Scientific Pub Co Pte Ltd, 2019, pp. 2151–82, doi: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, vol. 233, no. 1, Springer Science and Business Media LLC, 2019, pp. 249–96, doi: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, vol. 18, no. 4, American Institute of Mathematical Sciences (AIMS), 2019, pp. 2047–67, doi: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, vol. 267, no. 1, Elsevier BV, 2019, pp. 388–406, doi: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, vol. 122, no. 1, Springer Fachmedien Wiesbaden GmbH, 2019, pp. 35–64, doi:10.1365/s13291-019-00210-z.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, Piotr, et al. “Migration-Driven Benefit in a Two-Species Nutrient Taxis System.” Nonlinear Analysis: Real World Applications, vol. 48, Elsevier BV, 2019, pp. 94–116, doi: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, vol. 36, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1747–90, doi: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, vol. 29, no. 03, World Scientific Pub Co Pte Ltd, 2019, pp. 373–418, doi: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, vol. 183, Elsevier BV, 2019, pp. 102–16, doi:10.1016/j.na.2019.01.017.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Yulan, et al. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid) Systems.” Calculus of Variations and Partial Differential Equations, vol. 58, no. 6, 196, Springer Science and Business Media LLC, 2019, doi: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 -), vol. 198, no. 5, Springer Science and Business Media LLC, 2019, pp. 1615–37, doi: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, vol. 26, no. 6, 48, Springer Science and Business Media LLC, 2019, doi: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, vol. 367, no. 2, Springer Science and Business Media LLC, 2018, pp. 665–81, doi: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, vol. 373, no. 3–4, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi: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, vol. 266, no. 12, Elsevier BV, 2018, pp. 8034–66, doi: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, vol. 276, no. 5, Elsevier BV, 2018, pp. 1339–401, doi: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, vol. 148, no. 5, Cambridge University Press (CUP), 2018, pp. 939–55, doi: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, vol. 163, no. 1, Springer Science and Business Media LLC, 2018, pp. 1–17, doi: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, vol. 31, no. 4, IOP Publishing, 2018, pp. 1227–59, doi: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, vol. 69, no. 2, 40, Springer Science and Business Media LLC, 2018, doi: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, vol. 20, no. 4, Springer Science and Business Media LLC, 2018, pp. 1889–909, doi: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, vol. 18, no. 3, Springer Science and Business Media LLC, 2018, pp. 1267–89, doi: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, vol. 264, no. 10, Elsevier BV, 2018, pp. 6109–51, doi: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, vol. 31, no. 5, IOP Publishing, 2018, pp. 2031–56, doi: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, vol. 170, Elsevier BV, 2018, pp. 123–41, doi:10.1016/j.na.2018.01.002.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., et al. “Global Solvability and Explicit Bounds for Non-Local Adhesion Models.” European Journal of Applied Mathematics, vol. 29, no. 4, Cambridge University Press (CUP), 2017, pp. 645–84, doi:10.1017/s0956792517000328.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Yulan, et al. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Mathematische Zeitschrift, vol. 289, no. 1–2, Springer Science and Business Media LLC, 2017, pp. 71–108, doi: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, vol. 112, Elsevier BV, 2017, pp. 118–69, doi: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, vol. 30, no. 1, Springer Science and Business Media LLC, 2017, pp. 331–58, doi: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, vol. 264, no. 3, Elsevier BV, 2017, pp. 2310–50, doi: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, vol. 4, no. 2, American Mathematical Society (AMS), 2017, pp. 31–67, doi:10.1090/btran/17.
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[145]
2026 | Journal Article | LibreCat-ID: 63435
Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear Analysis: Real World Applications, vol. 91, Elsevier BV, 2026, p. 104580, doi:10.1016/j.nonrwa.2025.104580.
LibreCat | DOI
 
[144]
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, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:10.1007/s00033-025-02582-y.
LibreCat | DOI
 
[143]
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, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:10.1007/s00028-025-01144-z.
LibreCat | DOI
 
[142]
2025 | Journal Article | LibreCat-ID: 63246
Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:10.1007/s00526-025-03170-8.
LibreCat | DOI
 
[141]
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, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:10.4171/jems/1607.
LibreCat | DOI
 
[140]
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, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:10.1016/j.jde.2024.12.040.
LibreCat | DOI
 
[139]
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, vol. 68, no. 12, Springer Science and Business Media LLC, 2025, pp. 2867–900, doi:10.1007/s11425-023-2397-y.
LibreCat | DOI
 
[138]
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, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
LibreCat | DOI
 
[137]
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, vol. 11, no. 3, Springer Science and Business Media LLC, 2025, pp. 2041–63, doi:10.1007/s41808-025-00316-9.
LibreCat | DOI
 
[136]
2025 | Journal Article | LibreCat-ID: 63164
Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, World Scientific Pub Co Pte Ltd, 2025, pp. 283–343, doi:10.1142/s0218202525400020.
LibreCat | DOI
 
[135]
2025 | Journal Article | LibreCat-ID: 54837 | OA
Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:10.1142/s0218202525500447.
LibreCat | DOI | Download (ext.) | arXiv
 
[134]
2025 | Journal Article | LibreCat-ID: 59258
Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics &amp; Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
LibreCat | DOI
 
[133]
2024 | Journal Article | LibreCat-ID: 63264
Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies, vol. 24, no. 3, Walter de Gruyter GmbH, 2024, pp. 592–615, doi:10.1515/ans-2023-0131.
LibreCat | DOI
 
[132]
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, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:10.1007/s00208-024-02987-6.
LibreCat | DOI
 
[131]
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, vol. 42, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2024, pp. 1601–30, doi:10.4171/aihpc/141.
LibreCat | DOI
 
[130]
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, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.
LibreCat | DOI
 
[129]
2024 | Journal Article | LibreCat-ID: 63253
Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:10.1088/1361-6544/ad871a.
LibreCat | DOI
 
[128]
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, vol. 26, no. 4, 60, Springer Science and Business Media LLC, 2024, doi:10.1007/s00021-024-00899-8.
LibreCat | DOI
 
[127]
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, vol. 109, no. 3, e12885, Wiley, 2024, doi:10.1112/jlms.12885.
LibreCat | DOI
 
[126]
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, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:10.1090/proc/16867.
LibreCat | DOI
 
[125]
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, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
LibreCat | DOI
 
[124]
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, vol. 297, no. 6, Wiley, 2024, pp. 2353–64, doi:10.1002/mana.202300361.
LibreCat | DOI
 
[123]
2024 | Journal Article | LibreCat-ID: 63262
Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:10.1007/s11856-024-2618-9.
LibreCat | DOI
 
[122]
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, vol. 400, Elsevier BV, 2024, pp. 423–56, doi:10.1016/j.jde.2024.04.028.
LibreCat | DOI
 
[121]
2024 | Journal Article | LibreCat-ID: 57820
Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson Equation.” Nonlinear Analysis, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
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, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi: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, vol. 21, no. 1, 20220578, Walter de Gruyter GmbH, 2023, doi: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, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi: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, vol. 374, Elsevier BV, 2023, pp. 1–28, doi: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, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi: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, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi: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, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi: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, vol. 71, 103820, Elsevier BV, 2023, doi: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, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi: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, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi: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, vol. 12, no. 6, American Institute of Mathematical Sciences (AIMS), 2023, pp. 1676–87, doi: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, vol. 83, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2096–117, doi: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, vol. 74, no. 1, 32, Springer Science and Business Media LLC, 2023, doi: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, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi: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, vol. 41, no. 1, European Mathematical Society - EMS - Publishing House GmbH, 2023, pp. 95–127, doi: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, vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi: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, 286, Scuola Normale Superiore - Edizioni della Normale, 2023, doi: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, vol. 35, 2022, pp. 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, vol. 389, 2022, pp. 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, vol. 124, 2022, pp. 133–81.
LibreCat
 
[100]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
 
[99]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
LibreCat
 
[98]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “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), vol. 38, 2022, pp. 985–1001.
LibreCat
 
[97]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 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, vol. 152, 2022, pp. 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, vol. 21, 2022, pp. 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, vol. 22, no. 1, Walter de Gruyter GmbH, 2022, pp. 88–117, doi: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, vol. 61, no. 3, 108, Springer Science and Business Media LLC, 2022, doi: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, vol. 3, no. 4, 47, Springer Science and Business Media LLC, 2022, doi: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, vol. 27, no. 11, 6565, American Institute of Mathematical Sciences (AIMS), 2022, doi: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, vol. 295, no. 9, Wiley, 2022, pp. 1840–62, doi: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, vol. 71, no. 4, Indiana University Mathematics Journal, 2022, pp. 1437–65, doi: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, vol. 13, no. 02, 2250012, World Scientific Pub Co Pte Ltd, 2022, doi: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, vol. 131, no. 1, SAGE Publications, 2022, pp. 33–57, doi:10.3233/asy-221765.
LibreCat | DOI
 
[86]
2022 | Journal Article | LibreCat-ID: 63293
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $  \mathbb{R}^3 $.” Discrete and Continuous Dynamical Systems, vol. 42, no. 11, 5201, American Institute of Mathematical Sciences (AIMS), 2022, doi:10.3934/dcds.2022091.
LibreCat | DOI
 
[85]
2022 | Journal Article | LibreCat-ID: 63290
Bellomo, N., et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 04, World Scientific Pub Co Pte Ltd, 2022, pp. 713–92, doi: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, vol. 22, no. 1, 14, Springer Science and Business Media LLC, 2022, doi: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, vol. 54, no. 4, Society for Industrial & Applied Mathematics (SIAM), 2022, pp. 4806–64, doi: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, vol. 47, no. 12, Informa UK Limited, 2022, pp. 2341–62, doi: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, vol. 36, no. 2, Springer Science and Business Media LLC, 2022, pp. 1677–702, doi: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, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:10.1016/j.jde.2022.10.022.
LibreCat | DOI
 
[79]
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” Nonlinear Analysis, vol. 226, 113153, Elsevier BV, 2022, doi: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, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi: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, vol. 25, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 1423–56, doi: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, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi: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, vol. 25, no. 10, 2250062, World Scientific Pub Co Pte Ltd, 2022, doi: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, vol. 72, 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, vol. 2021, 2021, pp. 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, vol. 112, 2021, p. 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, vol. 374, 2021, pp. 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, vol. 281, 109069, 2021.
LibreCat
 
[69]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics, vol. 64, 2021, pp. 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, vol. 19, 2021, pp. 829–49.
LibreCat
 
[67]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, et al. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations, vol. 46, 2021, pp. 1058–91.
LibreCat
 
[66]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis, vol. 10, 2021, pp. 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, vol. 28, no. 5, 47, Springer Science and Business Media LLC, 2021, doi: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, vol. 63, 103407, Elsevier BV, 2021, doi: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, vol. 309, Elsevier BV, 2021, pp. 74–97, doi: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, vol. 53, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2021, pp. 1411–33, doi: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, vol. 208, 112324, Elsevier BV, 2021, doi: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, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2021, pp. 137–73, doi: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, vol. 33, no. 5, Cambridge University Press (CUP), 2021, pp. 919–59, doi: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, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72, doi:10.2422/2036-2145.202005_016.
LibreCat | DOI
 
[57]
2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, et al. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 421–466, Scuola Normale Superiore - Edizioni della Normale, 2021, doi: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, vol. 33, 2020, pp. 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, vol. 71, 10, 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, vol. 33, 2020, pp. 6590–623.
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[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, vol. 20, 2020, pp. 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, vol. 30, 2020, pp. 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, vol. 40, 2020, pp. 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, vol. 20, no. 4, Walter de Gruyter GmbH, 2020, pp. 795–817, doi: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, vol. 169, no. 1, Springer Science and Business Media LLC, 2020, pp. 577–91, doi: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, vol. 141, no. 2, Springer Science and Business Media LLC, 2020, pp. 585–624, doi: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, vol. 30, no. 4, Springer Science and Business Media LLC, 2020, pp. 1809–47, doi: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, vol. 30, no. 11, World Scientific Pub Co Pte Ltd, 2020, pp. 2105–37, doi:10.1142/s0218202520500396.
LibreCat | DOI
 
[45]
2020 | Journal Article | LibreCat-ID: 63330
Li, Genglin, et al. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B, vol. 25, no. 11, American Institute of Mathematical Sciences (AIMS), 2020, pp. 4383–96, doi: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, vol. 59, 103257, Elsevier BV, 2020, doi: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, vol. 198, 111870, Elsevier BV, 2020, doi: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, vol. 112, 106785, Elsevier BV, 2020, doi: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, vol. 41, no. 1, American Institute of Mathematical Sciences (AIMS), 2020, pp. 439–54, doi: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, vol. 52, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2020, pp. 2041–80, doi: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, vol. 32, no. 2, Cambridge University Press (CUP), 2020, pp. 301–16, doi: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, vol. 32, no. 4, Cambridge University Press (CUP), 2020, pp. 618–51, doi: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, vol. 36, no. S1, Springer Science and Business Media LLC, 2020, pp. 3–23, doi: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, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8106–52, doi: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, vol. 9, no. 1, Walter de Gruyter GmbH, 2019, pp. 526–66, doi: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, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97, doi:10.1016/j.jde.2019.10.046.
LibreCat | DOI
 
[33]
2019 | Journal Article | LibreCat-ID: 63349
Bellomo, Nicola, et al. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics, vol. 79, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2019, pp. 1990–2010, doi: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, vol. 119, no. 6, Wiley, 2019, pp. 1598–632, doi: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, vol. 29, no. 11, World Scientific Pub Co Pte Ltd, 2019, pp. 2151–82, doi: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, vol. 233, no. 1, Springer Science and Business Media LLC, 2019, pp. 249–96, doi: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, vol. 18, no. 4, American Institute of Mathematical Sciences (AIMS), 2019, pp. 2047–67, doi: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, vol. 267, no. 1, Elsevier BV, 2019, pp. 388–406, doi: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, vol. 122, no. 1, Springer Fachmedien Wiesbaden GmbH, 2019, pp. 35–64, doi:10.1365/s13291-019-00210-z.
LibreCat | DOI
 
[26]
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, Piotr, et al. “Migration-Driven Benefit in a Two-Species Nutrient Taxis System.” Nonlinear Analysis: Real World Applications, vol. 48, Elsevier BV, 2019, pp. 94–116, doi: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, vol. 36, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1747–90, doi: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, vol. 29, no. 03, World Scientific Pub Co Pte Ltd, 2019, pp. 373–418, doi: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, vol. 183, Elsevier BV, 2019, pp. 102–16, doi:10.1016/j.na.2019.01.017.
LibreCat | DOI
 
[22]
2019 | Journal Article | LibreCat-ID: 63359
Wang, Yulan, et al. “The Fast Signal Diffusion Limit in Keller–Segel(-Fluid) Systems.” Calculus of Variations and Partial Differential Equations, vol. 58, no. 6, 196, Springer Science and Business Media LLC, 2019, doi: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 -), vol. 198, no. 5, Springer Science and Business Media LLC, 2019, pp. 1615–37, doi: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, vol. 26, no. 6, 48, Springer Science and Business Media LLC, 2019, doi: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, vol. 367, no. 2, Springer Science and Business Media LLC, 2018, pp. 665–81, doi: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, vol. 373, no. 3–4, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi: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, vol. 266, no. 12, Elsevier BV, 2018, pp. 8034–66, doi: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, vol. 276, no. 5, Elsevier BV, 2018, pp. 1339–401, doi: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, vol. 148, no. 5, Cambridge University Press (CUP), 2018, pp. 939–55, doi: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, vol. 163, no. 1, Springer Science and Business Media LLC, 2018, pp. 1–17, doi: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, vol. 31, no. 4, IOP Publishing, 2018, pp. 1227–59, doi: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, vol. 69, no. 2, 40, Springer Science and Business Media LLC, 2018, doi: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, vol. 20, no. 4, Springer Science and Business Media LLC, 2018, pp. 1889–909, doi: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, vol. 18, no. 3, Springer Science and Business Media LLC, 2018, pp. 1267–89, doi: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, vol. 264, no. 10, Elsevier BV, 2018, pp. 6109–51, doi: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, vol. 31, no. 5, IOP Publishing, 2018, pp. 2031–56, doi: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, vol. 170, Elsevier BV, 2018, pp. 123–41, doi:10.1016/j.na.2018.01.002.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 63371
HILLEN, T., et al. “Global Solvability and Explicit Bounds for Non-Local Adhesion Models.” European Journal of Applied Mathematics, vol. 29, no. 4, Cambridge University Press (CUP), 2017, pp. 645–84, doi:10.1017/s0956792517000328.
LibreCat | DOI
 
[5]
2017 | Journal Article | LibreCat-ID: 63372
Wang, Yulan, et al. “The Small-Convection Limit in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Mathematische Zeitschrift, vol. 289, no. 1–2, Springer Science and Business Media LLC, 2017, pp. 71–108, doi: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, vol. 112, Elsevier BV, 2017, pp. 118–69, doi: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, vol. 30, no. 1, Springer Science and Business Media LLC, 2017, pp. 331–58, doi: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, vol. 264, no. 3, Elsevier BV, 2017, pp. 2310–50, doi: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, vol. 4, no. 2, American Mathematical Society (AMS), 2017, pp. 31–67, doi:10.1090/btran/17.
LibreCat | DOI
 
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