Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

142 Publications

Mark all

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