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69 Publications
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
2024 | Misc | 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. Cornell University, 2024.
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| Download (ext.)
| arXiv
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: 35577
M. Winkler, “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, vol. 61, Art. no. 108, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.,” Advanced Nonlinear Studies, vol. 22, pp. 88–117, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.,” Mathematische Nachrichten, vol. 295, pp. 1840–1862, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
M. Winkler, “Oscillatory decay in a degenerate parabolic equation.,” Partial Differential Equations and Applications, vol. 3, Art. no. 47, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2022.
LibreCat
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: 34676
T. Black and M. Winkler, “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, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.
LibreCat
| DOI
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.
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