Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
69 Publications
2025 | Journal Article | LibreCat-ID: 56960
Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with Degenerate Diffusion.” Applied Mathematics Letters, vol. 161, 109361, Elsevier BV, 2025, doi:10.1016/j.aml.2024.109361.
LibreCat
| DOI
2024 | Misc | LibreCat-ID: 54837 | 
Claes, Leander, et al. A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions. Cornell University, 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 57820
Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson Equation.” Nonlinear Analysis, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 43105
Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications, vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35577
Winkler, Michael. “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, 108, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler, Michael. “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, 2022, pp. 88–117.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
Winkler, Michael. “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, 103407, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten, vol. 295, 2022, pp. 1840–62.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal, vol. 7, 2022, pp. 1437–65.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97.
LibreCat
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black, Tobias, and Michael 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, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
2022 | Journal Article | LibreCat-ID: 35479
Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
Lankeit, Johannes, and Michael 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, 14, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “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, 2022, pp. 985–1001.
LibreCat