142 Publications
2025 | Journal Article | LibreCat-ID: 54837 | 
@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={10.1142/s0218202525500447}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }
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| arXiv
2025 | Journal Article | LibreCat-ID: 63250
@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={10.1007/s00033-025-02582-y}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
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2025 | Journal Article | LibreCat-ID: 63249
@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={10.1007/s00028-025-01144-z}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
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2025 | Journal Article | LibreCat-ID: 63246
@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={10.1007/s00526-025-03170-8}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
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2025 | Journal Article | LibreCat-ID: 63244
@article{Winkler_2025, title={Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system}, DOI={10.4171/jems/1607}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2025} }
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2025 | Journal Article | LibreCat-ID: 63247
@article{Tao_Winkler_2025, title={A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production}, volume={423}, DOI={10.1016/j.jde.2024.12.040}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }
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2025 | Journal Article | LibreCat-ID: 63252
@article{Tao_Winkler_2025, title={A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production}, volume={68}, DOI={10.1007/s11425-023-2397-y}, number={12}, journal={Science China Mathematics}, publisher={Springer Science and Business Media LLC}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={2867–2900} }
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2025 | Journal Article | LibreCat-ID: 63344
@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
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2025 | Journal Article | LibreCat-ID: 63242
@article{Hanfland_Winkler_2025, title={Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation}, volume={11}, DOI={10.1007/s41808-025-00316-9}, number={3}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Hanfland, Celina and Winkler, Michael}, year={2025}, pages={2041–2063} }
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2025 | Journal Article | LibreCat-ID: 63164
@article{Winkler_2025, title={Effects of degeneracies in taxis-driven evolution}, volume={35}, DOI={10.1142/s0218202525400020}, number={02}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2025}, pages={283–343} }
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2024 | Journal Article | LibreCat-ID: 63264
@article{Winkler_2024, title={A degenerate migration-consumption model in domains of arbitrary dimension}, volume={24}, DOI={10.1515/ans-2023-0131}, number={3}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2024}, pages={592–615} }
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2024 | Journal Article | LibreCat-ID: 63248
@article{Winkler_2024, title={Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system}, volume={391}, DOI={10.1007/s00208-024-02987-6}, number={2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={3023–3054} }
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2024 | Journal Article | LibreCat-ID: 63245
@article{Winkler_2024, title={Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system}, volume={42}, DOI={10.4171/aihpc/141}, number={6}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2024}, pages={1601–1630} }
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2024 | Journal Article | LibreCat-ID: 63257
@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={10.1007/s00028-024-00954-x}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }
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2024 | Journal Article | LibreCat-ID: 63253
@article{Ding_Winkler_2024, title={Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture}, volume={37}, DOI={10.1088/1361-6544/ad871a}, number={12125006}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Ding, Mengyao and Winkler, Michael}, year={2024} }
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2024 | Journal Article | LibreCat-ID: 63254
@article{Fuest_Winkler_2024, title={Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing}, volume={26}, DOI={10.1007/s00021-024-00899-8}, number={460}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Fuest, Mario and Winkler, Michael}, year={2024} }
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2024 | Journal Article | LibreCat-ID: 63259
@article{Wang_Winkler_2024, title={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}, volume={109}, DOI={10.1112/jlms.12885}, number={3e12885}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024} }
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2024 | Journal Article | LibreCat-ID: 63258
@article{Tao_Winkler_2024, title={Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}, volume={152}, DOI={10.1090/proc/16867}, number={10}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Tao, Youshan and Winkler, Michael}, year={2024}, pages={4325–4341} }
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2024 | Journal Article | LibreCat-ID: 63256
@article{Nikolić_Winkler_2024, title={<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}, volume={247}, DOI={10.1016/j.na.2024.113600}, number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić, Vanja and Winkler, Michael}, year={2024} }
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2024 | Journal Article | LibreCat-ID: 63260
@article{Wang_Winkler_2024, title={A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities}, volume={297}, DOI={10.1002/mana.202300361}, number={6}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024}, pages={2353–2364} }
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2024 | Journal Article | LibreCat-ID: 63262
@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={10.1007/s11856-024-2618-9}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }
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2024 | Journal Article | LibreCat-ID: 63263
@article{Winkler_2024, title={L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux}, volume={400}, DOI={10.1016/j.jde.2024.04.028}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2024}, pages={423–456} }
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2023 | Journal Article | LibreCat-ID: 63285
@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }
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2023 | Journal Article | LibreCat-ID: 63288
@article{Winkler_2023, title={Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={10.1515/math-2022-0578}, number={120220578}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2023} }
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2023 | Journal Article | LibreCat-ID: 63287
@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }
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2023 | Journal Article | LibreCat-ID: 63289
@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }
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2023 | Journal Article | LibreCat-ID: 63271
@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={10.1142/s0218202523500045}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }
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2023 | Journal Article | LibreCat-ID: 63267
@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={10.1007/s00526-023-02523-5}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }
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2023 | Journal Article | LibreCat-ID: 63270
@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={10.4310/cms.2023.v21.n2.a1}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }
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2023 | Journal Article | LibreCat-ID: 63273
@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={10.1016/j.nonrwa.2022.103820}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }
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2023 | Journal Article | LibreCat-ID: 63281
@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={10.1088/1361-6544/ace22e}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }
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2023 | Journal Article | LibreCat-ID: 63276
@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={10.1002/mma.9419}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }
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2023 | Journal Article | LibreCat-ID: 63275
@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12}, DOI={10.3934/eect.2023031}, number={6}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={1676–1687} }
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2023 | Journal Article | LibreCat-ID: 63277
@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83}, DOI={10.1137/22m1539393}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael}, year={2023}, pages={2096–2117} }
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2023 | Journal Article | LibreCat-ID: 63283
@article{Winkler_2023, title={Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction}, volume={74}, DOI={10.1007/s00033-022-01925-3}, number={132}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023} }
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2023 | Journal Article | LibreCat-ID: 63255
@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={10.1080/00036811.2023.2173183}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }
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2023 | Journal Article | LibreCat-ID: 63261
@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, volume={41}, DOI={10.4171/aihpc/73}, number={1}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023}, pages={95–127} }
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2023 | Journal Article | LibreCat-ID: 53338
@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of chemotaxis‐consumption models—A survey}, volume={151}, DOI={10.1111/sapm.12625}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit, Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }
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| DOI
2023 | Journal Article | LibreCat-ID: 63243
@article{Colasuonno_Winkler_2023, title={Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$}, DOI={10.2422/2036-2145.202303_006}, number={286}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Colasuonno, Francesca and Winkler, Michael}, year={2023} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }
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2022 | Journal Article | LibreCat-ID: 35568
@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }
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2022 | Journal Article | LibreCat-ID: 35574
@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }
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2022 | Journal Article | LibreCat-ID: 35483
@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }
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2022 | Journal Article | LibreCat-ID: 35481
@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }
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2022 | Journal Article | LibreCat-ID: 35565
@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }
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2022 | Journal Article | LibreCat-ID: 35560
@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }
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2022 | Journal Article | LibreCat-ID: 35556
@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }
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2022 | Journal Article | LibreCat-ID: 35532
@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }
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2022 | Journal Article | LibreCat-ID: 63310
@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings}, volume={22}, DOI={10.1515/ans-2022-0004}, number={1}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2022}, pages={88–117} }
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2022 | Journal Article | LibreCat-ID: 63305
@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar}, volume={61}, DOI={10.1007/s00526-021-02168-2}, number={3108}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63311
@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation}, volume={3}, DOI={10.1007/s42985-022-00186-z}, number={447}, journal={Partial Differential Equations and Applications}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63312
@article{Winkler_2022, title={Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities}, volume={27}, DOI={10.3934/dcdsb.2022009}, number={116565}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63309
@article{Winkler_2022, title={A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients}, volume={295}, DOI={10.1002/mana.202000403}, number={9}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63306
@article{Winkler_2022, title={A critical blow-up exponent for flux limiation in a Keller-Segel system}, volume={71}, DOI={10.1512/iumj.2022.71.9042}, number={4}, journal={Indiana University Mathematics Journal}, publisher={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63284
@article{Winkler_2022, title={Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model}, volume={13}, DOI={10.1142/s1664360722500126}, number={022250012}, journal={Bulletin of Mathematical Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63286
@article{Winkler_2022, title={Exponential grow-up rates in a quasilinear Keller–Segel system}, volume={131}, DOI={10.3233/asy-221765}, number={1}, journal={Asymptotic Analysis}, publisher={SAGE Publications}, author={Winkler, Michael}, year={2022}, pages={33–57} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63293
@article{Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $}, volume={42}, DOI={10.3934/dcds.2022091}, number={115201}, journal={Discrete and Continuous Dynamical Systems}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63290
@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision}, volume={32}, DOI={10.1142/s0218202522500166}, number={04}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Bellomo, N. and Outada, N. and Soler, J. and Tao, Y. and Winkler, Michael}, year={2022}, pages={713–792} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63295
@article{Lankeit_Winkler_2022, title={Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects}, volume={22}, DOI={10.1007/s00028-022-00768-9}, number={114}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63299
@article{Tao_Winkler_2022, title={Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System}, volume={54}, DOI={10.1137/21m1449841}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={4806–4864} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63298
@article{Stevens_Winkler_2022, title={Taxis-driven persistent localization in a degenerate Keller-Segel system}, volume={47}, DOI={10.1080/03605302.2022.2122836}, number={12}, journal={Communications in Partial Differential Equations}, publisher={Informa UK Limited}, author={Stevens, Angela and Winkler, Michael}, year={2022}, pages={2341–2362} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63266
@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, volume={36}, DOI={10.1007/s10884-022-10167-w}, number={2}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022}, pages={1677–1702} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63272
@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={10.1016/j.jde.2022.10.022}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63268
@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={10.1016/j.na.2022.113153}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }
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| DOI
2022 | Journal Article | LibreCat-ID: 63278
@article{Winkler_2022, title={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}, volume={2023}, DOI={10.1093/imrn/rnac286}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63279
@article{Winkler_2022, title={Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?}, volume={25}, DOI={10.4171/jems/1226}, number={4}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2022}, pages={1423–1456} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63274
@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={10.1017/prm.2022.39}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={10.1142/s0219199722500626}, number={102250062}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
@article{Winkler_2021, title={Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021}, journal={International Mathematics Research Notices}, author={Winkler, Michael}, year={2021}, pages={8106–8152} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}, volume={46}, journal={Communications in Partial Differential Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={1058–1091} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}, volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }
LibreCat
2021 | Journal Article | LibreCat-ID: 63313
@article{Ding_Winkler_2021, title={Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities}, volume={28}, DOI={10.1007/s00030-021-00709-4}, number={547}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Science and Business Media LLC}, author={Ding, Mengyao and Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
@article{Winkler_2021, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments}, volume={63}, DOI={10.1016/j.nonrwa.2021.103407}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
@article{Winkler_2021, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, DOI={10.1016/j.jde.2021.11.026}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2021}, pages={74–97} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63316
@article{Tao_Winkler_2021, title={Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection}, volume={53}, DOI={10.1137/20m1362851}, number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={1411–1433} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63319
@article{Tao_Winkler_2021, title={The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis}, volume={208}, DOI={10.1016/j.na.2021.112324}, number={112324}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63291
@article{Black_Winkler_2021, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2021}, pages={137–173} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63297
@article{RODRIGUEZ_Winkler_2021, title={On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime}, volume={33}, DOI={10.1017/s0956792521000279}, number={5}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={RODRIGUEZ, NANCY and Winkler, Michael}, year={2021}, pages={919–959} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 53333
@article{Winkler_2021, title={$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation}, DOI={10.2422/2036-2145.202005_016}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Winkler, Michael}, year={2021}, pages={141–172} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63373
@article{Wang_Winkler_Xiang_2021, title={Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity}, DOI={10.2422/2036-2145.201603_004}, number={421–466}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
@article{Winkler_2020, title={Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={6590–6623} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
@article{Winkler_2020, title={Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}, volume={20}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }
LibreCat
2020 | Journal Article | LibreCat-ID: 63340
@article{Winkler_2020, title={Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions}, volume={20}, DOI={10.1515/ans-2020-2107}, number={4}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63342
@article{Winkler_2020, title={Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?}, volume={169}, DOI={10.1007/s10440-020-00312-2}, number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={577–591} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63336
@article{Winkler_2020, title={Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system}, volume={141}, DOI={10.1007/s11854-020-0109-4}, number={2}, journal={Journal d’Analyse Mathématique}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={585–624} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63329
@article{Evje_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, DOI={10.1007/s00332-020-09625-w}, number={4}, journal={Journal of Nonlinear Science}, publisher={Springer Science and Business Media LLC}, author={Evje, Steinar and Winkler, Michael}, year={2020}, pages={1809–1847} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63331
@article{Rodríguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation}, volume={30}, DOI={10.1142/s0218202520500396}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Rodríguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63330
@article{Li_Tao_Winkler_2020, title={Large time behavior in a predator-prey system with indirect pursuit-evasion interaction}, volume={25}, DOI={10.3934/dcdsb.2020102}, number={11}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Li, Genglin and Tao, Youshan and Winkler, Michael}, year={2020}, pages={4383–4396} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63327
@article{Winkler_2020, title={Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation}, volume={59}, DOI={10.1016/j.nonrwa.2020.103257}, number={103257}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63333
@article{Tao_Winkler_2020, title={A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy}, volume={198}, DOI={10.1016/j.na.2020.111870}, number={111870}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63328
@article{Winkler_2020, title={Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity}, volume={112}, DOI={10.1016/j.aml.2020.106785}, number={106785}, journal={Applied Mathematics Letters}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63320
@article{Tao_Winkler_2020, title={Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction}, volume={41}, DOI={10.3934/dcds.2020216}, number={1}, journal={Discrete & Continuous Dynamical Systems - A}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2020}, pages={439–454} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63335
@article{Winkler_2020, title={Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations}, volume={52}, DOI={10.1137/19m1264199}, number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Winkler, Michael}, year={2020}, pages={2041–2080} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63318
@article{TAO_Winkler_2020, title={A critical virus production rate for efficiency of oncolytic virotherapy}, volume={32}, DOI={10.1017/s0956792520000133}, number={2}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={TAO, YOUSHAN and Winkler, Michael}, year={2020}, pages={301–316} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63314
@article{SURULESCU_Winkler_2020, title={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)}, volume={32}, DOI={10.1017/s0956792520000236}, number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={SURULESCU, CHRISTINA and Winkler, Michael}, year={2020}, pages={618–651} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63265
@article{Winkler_2020, title={Approaching Critical Decay in a Strongly Degenerate Parabolic Equation}, volume={36}, DOI={10.1007/s10884-020-09892-x}, number={S1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={3–23} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63325
@article{Winkler_2019, title={Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?}, volume={2021}, DOI={10.1093/imrn/rnz056}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2019}, pages={8106–8152} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63337
@article{Winkler_2019, title={The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1}, volume={9}, DOI={10.1515/anona-2020-0013}, number={1}, journal={Advances in Nonlinear Analysis}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2019}, pages={526–566} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
@article{Tao_Winkler_2019, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy}, volume={268}, DOI={10.1016/j.jde.2019.10.046}, number={9}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={4973–4997} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63349
@article{Bellomo_Painter_Tao_Winkler_2019, title={Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection}, volume={79}, DOI={10.1137/19m1250261}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Bellomo, Nicola and Painter, Kevin J. and Tao, Youshan and Winkler, Michael}, year={2019}, pages={1990–2010} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63355
@article{Tao_Winkler_2019, title={Boundedness and stabilization in a population model with cross‐diffusion for one species}, volume={119}, DOI={10.1112/plms.12276}, number={6}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={1598–1632} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63356
@article{Tao_Winkler_2019, title={Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food}, volume={29}, DOI={10.1142/s021820251950043x}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={2151–2182} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63352
@article{Lankeit_Winkler_2019, title={Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory}, volume={233}, DOI={10.1007/s11856-019-1900-8}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2019}, pages={249–296} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63358
@article{Tao_Winkler_2019, title={A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production}, volume={18}, DOI={10.3934/cpaa.2019092}, number={4}, journal={Communications on Pure & Applied Analysis}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={2047–2067} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
@article{Tao_Winkler_2019, title={Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension}, volume={267}, DOI={10.1016/j.jde.2019.01.014}, number={1}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={388–406} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63353
@article{Lankeit_Winkler_2019, title={Facing Low Regularity in Chemotaxis Systems}, volume={122}, DOI={10.1365/s13291-019-00210-z}, number={1}, journal={Jahresbericht der Deutschen Mathematiker-Vereinigung}, publisher={Springer Fachmedien Wiesbaden GmbH}, author={Lankeit, Johannes and Winkler, Michael}, year={2019}, pages={35–64} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63351
@article{Krzyżanowski_Winkler_Wrzosek_2019, title={Migration-driven benefit in a two-species nutrient taxis system}, volume={48}, DOI={10.1016/j.nonrwa.2019.01.006}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Krzyżanowski, Piotr and Winkler, Michael and Wrzosek, Dariusz}, year={2019}, pages={94–116} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63362
@article{Winkler_2019, title={Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation}, volume={36}, DOI={10.1016/j.anihpc.2019.02.004}, number={6}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2019}, pages={1747–1790} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63363
@article{Winkler_2019, title={Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions}, volume={29}, DOI={10.1142/s021820251950012x}, number={03}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2019}, pages={373–418} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63366
@article{Winkler_2019, title={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}, volume={183}, DOI={10.1016/j.na.2019.01.017}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2019}, pages={102–116} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63359
@article{Wang_Winkler_Xiang_2019, title={The fast signal diffusion limit in Keller–Segel(-fluid) systems}, volume={58}, DOI={10.1007/s00526-019-1656-3}, number={6196}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2019} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
@article{Winkler_2019, title={How strong singularities can be regularized by logistic degradation in the Keller–Segel system?}, volume={198}, DOI={10.1007/s10231-019-00834-z}, number={5}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2019}, pages={1615–1637} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
@article{Winkler_2019, title={Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?}, volume={26}, DOI={10.1007/s00030-019-0600-8}, number={648}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2019} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
@article{Souplet_Winkler_2018, title={Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3}, volume={367}, DOI={10.1007/s00220-018-3238-1}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Souplet, Philippe and Winkler, Michael}, year={2018}, pages={665–681} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63361
@article{Winkler_2018, title={How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases}, volume={373}, DOI={10.1007/s00208-018-1722-8}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1237–1282} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63365
@article{Winkler_2018, title={Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities}, volume={266}, DOI={10.1016/j.jde.2018.12.019}, number={12}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={8034–8066} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63360
@article{Winkler_2018, title={A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization}, volume={276}, DOI={10.1016/j.jfa.2018.12.009}, number={5}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={1339–1401} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63369
@article{Cao_Winkler_2018, title={Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains}, volume={148}, DOI={10.1017/s0308210518000057}, number={5}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Cao, Xinru and Winkler, Michael}, year={2018}, pages={939–955} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63368
@article{Winkler_2018, title={Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity}, volume={163}, DOI={10.1007/s10440-018-0211-0}, number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1–17} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
@article{Espejo_Winkler_2018, title={Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization}, volume={31}, DOI={10.1088/1361-6544/aa9d5f}, number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Espejo, Elio and Winkler, Michael}, year={2018}, pages={1227–1259} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
@article{Winkler_2018, title={Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation}, volume={69}, DOI={10.1007/s00033-018-0935-8}, number={240}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63375
@article{Winkler_2018, title={Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?}, volume={20}, DOI={10.1007/s00021-018-0395-0}, number={4}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1889–1909} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
@article{Winkler_2018, title={Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components}, volume={18}, DOI={10.1007/s00028-018-0440-8}, number={3}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1267–1289} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
@article{Winkler_2018, title={Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement}, volume={264}, DOI={10.1016/j.jde.2018.01.027}, number={10}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={6109–6151} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63376
@article{Winkler_2018, title={A critical blow-up exponent in a chemotaxis system with nonlinear signal production}, volume={31}, DOI={10.1088/1361-6544/aaaa0e}, number={5}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2018}, pages={2031–2056} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
@article{Winkler_Yokota_2018, title={Stabilization in the logarithmic Keller–Segel system}, volume={170}, DOI={10.1016/j.na.2018.01.002}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2018}, pages={123–141} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63371
@article{HILLEN_PAINTER_Winkler_2017, title={Global solvability and explicit bounds for non-local adhesion models}, volume={29}, DOI={10.1017/s0956792517000328}, number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={HILLEN, T. and PAINTER, K. J. and Winkler, Michael}, year={2017}, pages={645–684} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63372
@article{Wang_Winkler_Xiang_2017, title={The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system}, volume={289}, DOI={10.1007/s00209-017-1944-6}, number={1–2}, journal={Mathematische Zeitschrift}, publisher={Springer Science and Business Media LLC}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2017}, pages={71–108} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63374
@article{Winkler_2017, title={Singular structure formation in a degenerate haptotaxis model involving myopic diffusion}, volume={112}, DOI={10.1016/j.matpur.2017.11.002}, journal={Journal de Mathématiques Pures et Appliquées}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2017}, pages={118–169} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
@article{Winkler_2017, title={One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity}, volume={30}, DOI={10.1007/s10884-017-9577-3}, number={1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2017}, pages={331–358} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63379
@article{Winkler_2017, title={Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption}, volume={264}, DOI={10.1016/j.jde.2017.10.029}, number={3}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2017}, pages={2310–2350} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63383
@article{Bellomo_Winkler_2017, title={Finite-time blow-up in a degenerate chemotaxis system with flux limitation}, volume={4}, DOI={10.1090/btran/17}, number={2}, journal={Transactions of the American Mathematical Society, Series B}, publisher={American Mathematical Society (AMS)}, author={Bellomo, Nicola and Winkler, Michael}, year={2017}, pages={31–67} }
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2025 | Journal Article | LibreCat-ID: 54837 |
@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={10.1142/s0218202525500447}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }
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| DOI
| Download (ext.)
| arXiv
2025 | Journal Article | LibreCat-ID: 63250
@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={10.1007/s00033-025-02582-y}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63249
@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={10.1007/s00028-025-01144-z}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63246
@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={10.1007/s00526-025-03170-8}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63244
@article{Winkler_2025, title={Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system}, DOI={10.4171/jems/1607}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63247
@article{Tao_Winkler_2025, title={A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production}, volume={423}, DOI={10.1016/j.jde.2024.12.040}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63252
@article{Tao_Winkler_2025, title={A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production}, volume={68}, DOI={10.1007/s11425-023-2397-y}, number={12}, journal={Science China Mathematics}, publisher={Springer Science and Business Media LLC}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={2867–2900} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63344
@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63242
@article{Hanfland_Winkler_2025, title={Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation}, volume={11}, DOI={10.1007/s41808-025-00316-9}, number={3}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Hanfland, Celina and Winkler, Michael}, year={2025}, pages={2041–2063} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 63164
@article{Winkler_2025, title={Effects of degeneracies in taxis-driven evolution}, volume={35}, DOI={10.1142/s0218202525400020}, number={02}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2025}, pages={283–343} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63264
@article{Winkler_2024, title={A degenerate migration-consumption model in domains of arbitrary dimension}, volume={24}, DOI={10.1515/ans-2023-0131}, number={3}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2024}, pages={592–615} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63248
@article{Winkler_2024, title={Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system}, volume={391}, DOI={10.1007/s00208-024-02987-6}, number={2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={3023–3054} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63245
@article{Winkler_2024, title={Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system}, volume={42}, DOI={10.4171/aihpc/141}, number={6}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2024}, pages={1601–1630} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63257
@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={10.1007/s00028-024-00954-x}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63253
@article{Ding_Winkler_2024, title={Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture}, volume={37}, DOI={10.1088/1361-6544/ad871a}, number={12125006}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Ding, Mengyao and Winkler, Michael}, year={2024} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63254
@article{Fuest_Winkler_2024, title={Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing}, volume={26}, DOI={10.1007/s00021-024-00899-8}, number={460}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Fuest, Mario and Winkler, Michael}, year={2024} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63259
@article{Wang_Winkler_2024, title={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}, volume={109}, DOI={10.1112/jlms.12885}, number={3e12885}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63258
@article{Tao_Winkler_2024, title={Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}, volume={152}, DOI={10.1090/proc/16867}, number={10}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Tao, Youshan and Winkler, Michael}, year={2024}, pages={4325–4341} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63256
@article{Nikolić_Winkler_2024, title={<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}, volume={247}, DOI={10.1016/j.na.2024.113600}, number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić, Vanja and Winkler, Michael}, year={2024} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63260
@article{Wang_Winkler_2024, title={A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities}, volume={297}, DOI={10.1002/mana.202300361}, number={6}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024}, pages={2353–2364} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63262
@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={10.1007/s11856-024-2618-9}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 63263
@article{Winkler_2024, title={L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux}, volume={400}, DOI={10.1016/j.jde.2024.04.028}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2024}, pages={423–456} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63285
@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63288
@article{Winkler_2023, title={Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={10.1515/math-2022-0578}, number={120220578}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2023} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63287
@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63289
@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63271
@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={10.1142/s0218202523500045}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63267
@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={10.1007/s00526-023-02523-5}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63270
@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={10.4310/cms.2023.v21.n2.a1}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63273
@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={10.1016/j.nonrwa.2022.103820}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63281
@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={10.1088/1361-6544/ace22e}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63276
@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={10.1002/mma.9419}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63275
@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12}, DOI={10.3934/eect.2023031}, number={6}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={1676–1687} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63277
@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83}, DOI={10.1137/22m1539393}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael}, year={2023}, pages={2096–2117} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63283
@article{Winkler_2023, title={Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction}, volume={74}, DOI={10.1007/s00033-022-01925-3}, number={132}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63255
@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={10.1080/00036811.2023.2173183}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63261
@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, volume={41}, DOI={10.4171/aihpc/73}, number={1}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023}, pages={95–127} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 53338
@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of chemotaxis‐consumption models—A survey}, volume={151}, DOI={10.1111/sapm.12625}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit, Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 63243
@article{Colasuonno_Winkler_2023, title={Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$}, DOI={10.2422/2036-2145.202303_006}, number={286}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Colasuonno, Francesca and Winkler, Michael}, year={2023} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35483
@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }
LibreCat
2022 | Journal Article | LibreCat-ID: 63310
@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings}, volume={22}, DOI={10.1515/ans-2022-0004}, number={1}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2022}, pages={88–117} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63305
@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar}, volume={61}, DOI={10.1007/s00526-021-02168-2}, number={3108}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63311
@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation}, volume={3}, DOI={10.1007/s42985-022-00186-z}, number={447}, journal={Partial Differential Equations and Applications}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63312
@article{Winkler_2022, title={Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities}, volume={27}, DOI={10.3934/dcdsb.2022009}, number={116565}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63309
@article{Winkler_2022, title={A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients}, volume={295}, DOI={10.1002/mana.202000403}, number={9}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63306
@article{Winkler_2022, title={A critical blow-up exponent for flux limiation in a Keller-Segel system}, volume={71}, DOI={10.1512/iumj.2022.71.9042}, number={4}, journal={Indiana University Mathematics Journal}, publisher={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63284
@article{Winkler_2022, title={Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model}, volume={13}, DOI={10.1142/s1664360722500126}, number={022250012}, journal={Bulletin of Mathematical Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63286
@article{Winkler_2022, title={Exponential grow-up rates in a quasilinear Keller–Segel system}, volume={131}, DOI={10.3233/asy-221765}, number={1}, journal={Asymptotic Analysis}, publisher={SAGE Publications}, author={Winkler, Michael}, year={2022}, pages={33–57} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63293
@article{Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $}, volume={42}, DOI={10.3934/dcds.2022091}, number={115201}, journal={Discrete and Continuous Dynamical Systems}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63290
@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision}, volume={32}, DOI={10.1142/s0218202522500166}, number={04}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Bellomo, N. and Outada, N. and Soler, J. and Tao, Y. and Winkler, Michael}, year={2022}, pages={713–792} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63295
@article{Lankeit_Winkler_2022, title={Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects}, volume={22}, DOI={10.1007/s00028-022-00768-9}, number={114}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63299
@article{Tao_Winkler_2022, title={Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System}, volume={54}, DOI={10.1137/21m1449841}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={4806–4864} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63298
@article{Stevens_Winkler_2022, title={Taxis-driven persistent localization in a degenerate Keller-Segel system}, volume={47}, DOI={10.1080/03605302.2022.2122836}, number={12}, journal={Communications in Partial Differential Equations}, publisher={Informa UK Limited}, author={Stevens, Angela and Winkler, Michael}, year={2022}, pages={2341–2362} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, volume={36}, DOI={10.1007/s10884-022-10167-w}, number={2}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022}, pages={1677–1702} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={10.1016/j.jde.2022.10.022}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63268
@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={10.1016/j.na.2022.113153}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63278
@article{Winkler_2022, title={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}, volume={2023}, DOI={10.1093/imrn/rnac286}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63279
@article{Winkler_2022, title={Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?}, volume={25}, DOI={10.4171/jems/1226}, number={4}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2022}, pages={1423–1456} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63274
@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={10.1017/prm.2022.39}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={10.1142/s0219199722500626}, number={102250062}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
@article{Winkler_2021, title={Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021}, journal={International Mathematics Research Notices}, author={Winkler, Michael}, year={2021}, pages={8106–8152} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}, volume={46}, journal={Communications in Partial Differential Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={1058–1091} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}, volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }
LibreCat
2021 | Journal Article | LibreCat-ID: 63313
@article{Ding_Winkler_2021, title={Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities}, volume={28}, DOI={10.1007/s00030-021-00709-4}, number={547}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Science and Business Media LLC}, author={Ding, Mengyao and Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
@article{Winkler_2021, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments}, volume={63}, DOI={10.1016/j.nonrwa.2021.103407}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
@article{Winkler_2021, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, DOI={10.1016/j.jde.2021.11.026}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2021}, pages={74–97} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63316
@article{Tao_Winkler_2021, title={Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection}, volume={53}, DOI={10.1137/20m1362851}, number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={1411–1433} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63319
@article{Tao_Winkler_2021, title={The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis}, volume={208}, DOI={10.1016/j.na.2021.112324}, number={112324}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63291
@article{Black_Winkler_2021, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2021}, pages={137–173} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63297
@article{RODRIGUEZ_Winkler_2021, title={On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime}, volume={33}, DOI={10.1017/s0956792521000279}, number={5}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={RODRIGUEZ, NANCY and Winkler, Michael}, year={2021}, pages={919–959} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 53333
@article{Winkler_2021, title={$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation}, DOI={10.2422/2036-2145.202005_016}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Winkler, Michael}, year={2021}, pages={141–172} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63373
@article{Wang_Winkler_Xiang_2021, title={Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity}, DOI={10.2422/2036-2145.201603_004}, number={421–466}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
@article{Winkler_2020, title={Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={6590–6623} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
@article{Winkler_2020, title={Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}, volume={20}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }
LibreCat
2020 | Journal Article | LibreCat-ID: 63340
@article{Winkler_2020, title={Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions}, volume={20}, DOI={10.1515/ans-2020-2107}, number={4}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63342
@article{Winkler_2020, title={Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?}, volume={169}, DOI={10.1007/s10440-020-00312-2}, number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={577–591} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63336
@article{Winkler_2020, title={Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system}, volume={141}, DOI={10.1007/s11854-020-0109-4}, number={2}, journal={Journal d’Analyse Mathématique}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={585–624} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63329
@article{Evje_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, DOI={10.1007/s00332-020-09625-w}, number={4}, journal={Journal of Nonlinear Science}, publisher={Springer Science and Business Media LLC}, author={Evje, Steinar and Winkler, Michael}, year={2020}, pages={1809–1847} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63331
@article{Rodríguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation}, volume={30}, DOI={10.1142/s0218202520500396}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Rodríguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63330
@article{Li_Tao_Winkler_2020, title={Large time behavior in a predator-prey system with indirect pursuit-evasion interaction}, volume={25}, DOI={10.3934/dcdsb.2020102}, number={11}, journal={Discrete and Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Li, Genglin and Tao, Youshan and Winkler, Michael}, year={2020}, pages={4383–4396} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63327
@article{Winkler_2020, title={Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation}, volume={59}, DOI={10.1016/j.nonrwa.2020.103257}, number={103257}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63333
@article{Tao_Winkler_2020, title={A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy}, volume={198}, DOI={10.1016/j.na.2020.111870}, number={111870}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63328
@article{Winkler_2020, title={Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity}, volume={112}, DOI={10.1016/j.aml.2020.106785}, number={106785}, journal={Applied Mathematics Letters}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2020} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63320
@article{Tao_Winkler_2020, title={Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction}, volume={41}, DOI={10.3934/dcds.2020216}, number={1}, journal={Discrete & Continuous Dynamical Systems - A}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2020}, pages={439–454} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63335
@article{Winkler_2020, title={Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations}, volume={52}, DOI={10.1137/19m1264199}, number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Winkler, Michael}, year={2020}, pages={2041–2080} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63318
@article{TAO_Winkler_2020, title={A critical virus production rate for efficiency of oncolytic virotherapy}, volume={32}, DOI={10.1017/s0956792520000133}, number={2}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={TAO, YOUSHAN and Winkler, Michael}, year={2020}, pages={301–316} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63314
@article{SURULESCU_Winkler_2020, title={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)}, volume={32}, DOI={10.1017/s0956792520000236}, number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={SURULESCU, CHRISTINA and Winkler, Michael}, year={2020}, pages={618–651} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63265
@article{Winkler_2020, title={Approaching Critical Decay in a Strongly Degenerate Parabolic Equation}, volume={36}, DOI={10.1007/s10884-020-09892-x}, number={S1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={3–23} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63325
@article{Winkler_2019, title={Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?}, volume={2021}, DOI={10.1093/imrn/rnz056}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2019}, pages={8106–8152} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63337
@article{Winkler_2019, title={The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1}, volume={9}, DOI={10.1515/anona-2020-0013}, number={1}, journal={Advances in Nonlinear Analysis}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2019}, pages={526–566} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63334
@article{Tao_Winkler_2019, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy}, volume={268}, DOI={10.1016/j.jde.2019.10.046}, number={9}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={4973–4997} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63349
@article{Bellomo_Painter_Tao_Winkler_2019, title={Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection}, volume={79}, DOI={10.1137/19m1250261}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Bellomo, Nicola and Painter, Kevin J. and Tao, Youshan and Winkler, Michael}, year={2019}, pages={1990–2010} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63355
@article{Tao_Winkler_2019, title={Boundedness and stabilization in a population model with cross‐diffusion for one species}, volume={119}, DOI={10.1112/plms.12276}, number={6}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={1598–1632} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63356
@article{Tao_Winkler_2019, title={Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food}, volume={29}, DOI={10.1142/s021820251950043x}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={2151–2182} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63352
@article{Lankeit_Winkler_2019, title={Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory}, volume={233}, DOI={10.1007/s11856-019-1900-8}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2019}, pages={249–296} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63358
@article{Tao_Winkler_2019, title={A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production}, volume={18}, DOI={10.3934/cpaa.2019092}, number={4}, journal={Communications on Pure & Applied Analysis}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={2047–2067} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
@article{Tao_Winkler_2019, title={Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension}, volume={267}, DOI={10.1016/j.jde.2019.01.014}, number={1}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2019}, pages={388–406} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63353
@article{Lankeit_Winkler_2019, title={Facing Low Regularity in Chemotaxis Systems}, volume={122}, DOI={10.1365/s13291-019-00210-z}, number={1}, journal={Jahresbericht der Deutschen Mathematiker-Vereinigung}, publisher={Springer Fachmedien Wiesbaden GmbH}, author={Lankeit, Johannes and Winkler, Michael}, year={2019}, pages={35–64} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63351
@article{Krzyżanowski_Winkler_Wrzosek_2019, title={Migration-driven benefit in a two-species nutrient taxis system}, volume={48}, DOI={10.1016/j.nonrwa.2019.01.006}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Krzyżanowski, Piotr and Winkler, Michael and Wrzosek, Dariusz}, year={2019}, pages={94–116} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63362
@article{Winkler_2019, title={Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation}, volume={36}, DOI={10.1016/j.anihpc.2019.02.004}, number={6}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2019}, pages={1747–1790} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63363
@article{Winkler_2019, title={Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions}, volume={29}, DOI={10.1142/s021820251950012x}, number={03}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2019}, pages={373–418} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63366
@article{Winkler_2019, title={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}, volume={183}, DOI={10.1016/j.na.2019.01.017}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2019}, pages={102–116} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63359
@article{Wang_Winkler_Xiang_2019, title={The fast signal diffusion limit in Keller–Segel(-fluid) systems}, volume={58}, DOI={10.1007/s00526-019-1656-3}, number={6196}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2019} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
@article{Winkler_2019, title={How strong singularities can be regularized by logistic degradation in the Keller–Segel system?}, volume={198}, DOI={10.1007/s10231-019-00834-z}, number={5}, journal={Annali di Matematica Pura ed Applicata (1923 -)}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2019}, pages={1615–1637} }
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| DOI
2019 | Journal Article | LibreCat-ID: 63367
@article{Winkler_2019, title={Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?}, volume={26}, DOI={10.1007/s00030-019-0600-8}, number={648}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2019} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63354
@article{Souplet_Winkler_2018, title={Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$ n ≥ 3}, volume={367}, DOI={10.1007/s00220-018-3238-1}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Souplet, Philippe and Winkler, Michael}, year={2018}, pages={665–681} }
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| DOI
2018 | Journal Article | LibreCat-ID: 63361
@article{Winkler_2018, title={How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases}, volume={373}, DOI={10.1007/s00208-018-1722-8}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1237–1282} }
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2018 | Journal Article | LibreCat-ID: 63365
@article{Winkler_2018, title={Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities}, volume={266}, DOI={10.1016/j.jde.2018.12.019}, number={12}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={8034–8066} }
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| DOI
2018 | Journal Article | LibreCat-ID: 63360
@article{Winkler_2018, title={A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization}, volume={276}, DOI={10.1016/j.jfa.2018.12.009}, number={5}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={1339–1401} }
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| DOI
2018 | Journal Article | LibreCat-ID: 63369
@article{Cao_Winkler_2018, title={Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains}, volume={148}, DOI={10.1017/s0308210518000057}, number={5}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Cao, Xinru and Winkler, Michael}, year={2018}, pages={939–955} }
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2018 | Journal Article | LibreCat-ID: 63368
@article{Winkler_2018, title={Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity}, volume={163}, DOI={10.1007/s10440-018-0211-0}, number={1}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1–17} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63370
@article{Espejo_Winkler_2018, title={Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization}, volume={31}, DOI={10.1088/1361-6544/aa9d5f}, number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Espejo, Elio and Winkler, Michael}, year={2018}, pages={1227–1259} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63377
@article{Winkler_2018, title={Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation}, volume={69}, DOI={10.1007/s00033-018-0935-8}, number={240}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018} }
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2018 | Journal Article | LibreCat-ID: 63375
@article{Winkler_2018, title={Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?}, volume={20}, DOI={10.1007/s00021-018-0395-0}, number={4}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1889–1909} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63381
@article{Winkler_2018, title={Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components}, volume={18}, DOI={10.1007/s00028-018-0440-8}, number={3}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1267–1289} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63380
@article{Winkler_2018, title={Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement}, volume={264}, DOI={10.1016/j.jde.2018.01.027}, number={10}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2018}, pages={6109–6151} }
LibreCat
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2018 | Journal Article | LibreCat-ID: 63376
@article{Winkler_2018, title={A critical blow-up exponent in a chemotaxis system with nonlinear signal production}, volume={31}, DOI={10.1088/1361-6544/aaaa0e}, number={5}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2018}, pages={2031–2056} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 63382
@article{Winkler_Yokota_2018, title={Stabilization in the logarithmic Keller–Segel system}, volume={170}, DOI={10.1016/j.na.2018.01.002}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2018}, pages={123–141} }
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| DOI
2017 | Journal Article | LibreCat-ID: 63371
@article{HILLEN_PAINTER_Winkler_2017, title={Global solvability and explicit bounds for non-local adhesion models}, volume={29}, DOI={10.1017/s0956792517000328}, number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={HILLEN, T. and PAINTER, K. J. and Winkler, Michael}, year={2017}, pages={645–684} }
LibreCat
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2017 | Journal Article | LibreCat-ID: 63372
@article{Wang_Winkler_Xiang_2017, title={The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system}, volume={289}, DOI={10.1007/s00209-017-1944-6}, number={1–2}, journal={Mathematische Zeitschrift}, publisher={Springer Science and Business Media LLC}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2017}, pages={71–108} }
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| DOI
2017 | Journal Article | LibreCat-ID: 63374
@article{Winkler_2017, title={Singular structure formation in a degenerate haptotaxis model involving myopic diffusion}, volume={112}, DOI={10.1016/j.matpur.2017.11.002}, journal={Journal de Mathématiques Pures et Appliquées}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2017}, pages={118–169} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 63378
@article{Winkler_2017, title={One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity}, volume={30}, DOI={10.1007/s10884-017-9577-3}, number={1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2017}, pages={331–358} }
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| DOI
2017 | Journal Article | LibreCat-ID: 63379
@article{Winkler_2017, title={Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption}, volume={264}, DOI={10.1016/j.jde.2017.10.029}, number={3}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael}, year={2017}, pages={2310–2350} }
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| DOI
2017 | Journal Article | LibreCat-ID: 63383
@article{Bellomo_Winkler_2017, title={Finite-time blow-up in a degenerate chemotaxis system with flux limitation}, volume={4}, DOI={10.1090/btran/17}, number={2}, journal={Transactions of the American Mathematical Society, Series B}, publisher={American Mathematical Society (AMS)}, author={Bellomo, Nicola and Winkler, Michael}, year={2017}, pages={31–67} }
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