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69 Publications
2025 | Journal Article | LibreCat-ID: 56960
Black T. Absence of dead-core formations in chemotaxis systems with degenerate diffusion. Applied Mathematics Letters. 2025;161. doi:10.1016/j.aml.2024.109361
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| DOI
2024 | Misc | LibreCat-ID: 54837 | 
Claes L, Lankeit J, Winkler M. A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions. Cornell University; 2024.
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| arXiv
2024 | Journal Article | LibreCat-ID: 57820
Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
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| DOI
2023 | Journal Article | LibreCat-ID: 43105
Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868
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| DOI
2022 | Journal Article | LibreCat-ID: 35577
Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations and Partial Differential Equations. 2022;61.
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2022 | Journal Article | LibreCat-ID: 35599
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.
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2022 | Journal Article | LibreCat-ID: 35597
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.
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2022 | Journal Article | LibreCat-ID: 35598
Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862.
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2022 | Journal Article | LibreCat-ID: 35600
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3.
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2022 | Journal Article | LibreCat-ID: 35582
Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465.
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2022 | Journal Article | LibreCat-ID: 35590
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.
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2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
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2022 | Journal Article | LibreCat-ID: 34676
Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary. Mathematical Models and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x
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| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
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2022 | Journal Article | LibreCat-ID: 35479
Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.
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2022 | Journal Article | LibreCat-ID: 35530
Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations. 2022;22.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
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2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001.
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