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52 Publications
2026 | Journal Article | LibreCat-ID: 63435
L. Claes and M. Winkler, “Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis,” Nonlinear Analysis: Real World Applications, vol. 91, p. 104580, 2026, doi: 10.1016/j.nonrwa.2025.104580.
LibreCat
| DOI
2026 | Journal Article | LibreCat-ID: 63621
T. Black, “Refining Hölder regularity theory in degenerate drift-diffusion equations,” Annali di Matematica Pura ed Applicata (1923 -), 2026, doi: 10.1007/s10231-025-01642-4.
LibreCat
| DOI
2026 | Journal Article | LibreCat-ID: 63672
T. Black, S. Kohatsu, and D. Wu, “Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption,” Journal of Evolution Equations, vol. 26, no. 1, Art. no. 24, 2026, doi: 10.1007/s00028-025-01163-w.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 56960
T. Black, “Absence of dead-core formations in chemotaxis systems with degenerate diffusion,” Applied Mathematics Letters, vol. 161, Art. no. 109361, 2025, doi: 10.1016/j.aml.2024.109361.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 60205
T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,” Journal of Differential Equations, vol. 443, Art. no. 113555, 2025, doi: 10.1016/j.jde.2025.113555.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 54837 | 
L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions,” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, pp. 2465–2512, 2025, doi: 10.1142/s0218202525500447.
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| Download (ext.)
| arXiv
2025 | Journal Article | LibreCat-ID: 59258
M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” Applied Mathematics & Optimization, vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 57820
V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation,” Nonlinear Analysis, vol. 247, Art. no. 113600, 2024, doi: 10.1016/j.na.2024.113600.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 43105
T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35483
K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35479
N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures et Appliquées, vol. 162, pp. 124–151, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.,” Acta Mathematica Sinica (English Series), vol. 38, pp. 985–1001, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,” Analysis and Applications, vol. 20, pp. 141–170, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Y. Tao and M. Winkler, “Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 152, pp. 81–101, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
G. Li and M. Winkler, “Nonnegative solutions to a doubly degenerate nutrient taxis system ,” Communications on Pure and Applied Analysis, vol. 21, pp. 687–784, 2022.
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