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.
71 Publications
2020 | Journal Article | LibreCat-ID: 37357
M. Winkler, “Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.,” Journal d’Analyse Mathématique, vol. 141, pp. 585–624, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
G. Li, Y. Tao, and M. Winkler, “Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.,” Discrete and Continuous Dynamical Systems --B, vol. 25, pp. 4383–4398, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential Equations, vol. 268, pp. 4973–4997, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, pp. 1809–1847, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
T. Black, “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System,” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, Art. no. 1, 2019, doi: 10.1007/s00021-019-0464-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, pp. 3002–3020, 2019, doi: 10.1002/mma.5561.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
T. Black, J. Lankeit, and M. Mizukami, “Stabilization in the Keller–Segel system with signal-dependent sensitivity,” Applicable Analysis, vol. 99, no. 16, pp. 2877–2891, 2019, doi: 10.1080/00036811.2019.1585534.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34664
T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion,” SIAM Journal on Mathematical Analysis, vol. 50, no. 4, pp. 4087–4116, 2018, doi: 10.1137/17m1159488.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34666
T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,” Journal of Differential Equations, vol. 265, no. 5, pp. 2296–2339, 2018, doi: 10.1016/j.jde.2018.04.035.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34667
T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,” Nonlinear Analysis, vol. 180, pp. 129–153, 2018, doi: 10.1016/j.na.2018.10.003.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 34663
T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, pp. 1253–1272, 2017, doi: 10.3934/dcdsb.2017061.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 34665
T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” Journal of Evolution Equations, vol. 18, no. 2, pp. 561–581, 2017, doi: 10.1007/s00028-017-0411-5.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34660
T. Black, J. Lankeit, and M. Mizukami, “On the weakly competitive case in a two-species chemotaxis model,” IMA Journal of Applied Mathematics, vol. 81, no. 5, pp. 860–876, 2016, doi: 10.1093/imamat/hxw036.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34662
T. Black, “Boundedness in a Keller–Segel system with external signal production,” Journal of Mathematical Analysis and Applications, vol. 446, no. 1, pp. 436–455, 2016, doi: 10.1016/j.jmaa.2016.08.049.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34659
T. Black, “Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant,” Nonlinearity, vol. 29, no. 6, pp. 1865–1886, 2016, doi: 10.1088/0951-7715/29/6/1865.
LibreCat
| DOI