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70 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: 59258
Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
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| DOI
2024 | Misc | LibreCat-ID: 54837 | 
Claes, L., Lankeit, J., & Winkler, M. (2024). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Cornell University.
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| arXiv
2024 | Journal Article | LibreCat-ID: 57820
Nikolić, V., & Winkler, M. (2024). L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. Nonlinear Analysis, 247, Article 113600. https://doi.org/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. (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: 35577
Winkler, M. (2022). 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, 61, Article 108.
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies, 22, 88–117.
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2022 | Journal Article | LibreCat-ID: 35597
Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407.
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2022 | Journal Article | LibreCat-ID: 35598
Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten, 295, 1840–1862.
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2022 | Journal Article | LibreCat-ID: 35600
Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications, 3, Article 47.
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2022 | Journal Article | LibreCat-ID: 35582
Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal, 7, 1437–1465.
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2022 | Journal Article | LibreCat-ID: 35590
Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97.
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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.
LibreCat
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.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black, T., & Winkler, M. (2022). 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, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x
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| DOI
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.
LibreCat
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.
LibreCat
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.
LibreCat
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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