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47 Publications
2025 | Journal Article | LibreCat-ID: 56960
Black, T. (2025). Absence of dead-core formations in chemotaxis systems with degenerate diffusion. Applied Mathematics Letters, 161, Article 109361. https://doi.org/10.1016/j.aml.2024.109361
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| DOI
2025 | Journal Article | LibreCat-ID: 60205
Black, T. (2025). Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. Journal of Differential Equations, 443, Article 113555. https://doi.org/10.1016/j.jde.2025.113555
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| DOI
2025 | Journal Article | LibreCat-ID: 54837 | 
Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447
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2023 | Journal Article | LibreCat-ID: 43105
Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications, 73, Article 103868. https://doi.org/10.1016/j.nonrwa.2023.103868
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| DOI
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181.
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2022 | Journal Article | LibreCat-ID: 35483
Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222.
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2022 | Journal Article | LibreCat-ID: 35479
Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences, 32, 713–792.
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2022 | Journal Article | LibreCat-ID: 35530
Lankeit, J., & Winkler, M. (2022). Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations, 22, Article 14.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151.
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2022 | Journal Article | LibreCat-ID: 35565
Wang, Y., Winkler, M., & Xiang, Z. (2022). A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series), 38, 985–1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.
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2022 | Journal Article | LibreCat-ID: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
LibreCat
2022 | Journal Article | LibreCat-ID: 34677
Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y
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| DOI
2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152.
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2021 | Journal Article | LibreCat-ID: 35617
Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785.
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2021 | Journal Article | LibreCat-ID: 35613
Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Transactions of the American Mathematical Society, 374, 219–268.
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