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19 Publications
2023 | Journal Article | LibreCat-ID: 43105
Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34676
Black T, Winkler M. 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. 2022;32(01):137-173. doi:10.1142/s021820252250004x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34677
Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-022-02201-y
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34673
Black T, Fuest M, Lankeit J. Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift für angewandte Mathematik und Physik. 2021;72(3). doi:10.1007/s00033-021-01524-8
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift für angewandte Mathematik und Physik. 2021;72(4). doi:10.1007/s00033-021-01565-z
LibreCat
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2020 | Journal Article | LibreCat-ID: 34670
Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences. 2020;30(06):1075-1117. doi:10.1142/s0218202520400072
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S. 2019;13(2):119-137. doi:10.3934/dcdss.2020007
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black T. The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. Journal of Mathematical Fluid Mechanics. 2019;22(1). doi:10.1007/s00021-019-0464-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. Mathematical Methods in the Applied Sciences. 2019;42(9):3002-3020. doi:10.1002/mma.5561
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
Black T, Lankeit J, Mizukami M. Stabilization in the Keller–Segel system with signal-dependent sensitivity. Applicable Analysis. 2019;99(16):2877-2891. doi:10.1080/00036811.2019.1585534
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34664
Black T. Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion. SIAM Journal on Mathematical Analysis. 2018;50(4):4087-4116. doi:10.1137/17m1159488
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34666
Black T. Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. Journal of Differential Equations. 2018;265(5):2296-2339. doi:10.1016/j.jde.2018.04.035
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34667
Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. Nonlinear Analysis. 2018;180:129-153. doi:10.1016/j.na.2018.10.003
LibreCat
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2017 | Journal Article | LibreCat-ID: 34663
Black T. Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete & Continuous Dynamical Systems - B. 2017;22(4):1253-1272. doi:10.3934/dcdsb.2017061
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 34665
Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid system. Journal of Evolution Equations. 2017;18(2):561-581. doi:10.1007/s00028-017-0411-5
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34660
Black T, Lankeit J, Mizukami M. On the weakly competitive case in a two-species chemotaxis model. IMA Journal of Applied Mathematics. 2016;81(5):860-876. doi:10.1093/imamat/hxw036
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34662
Black T. Boundedness in a Keller–Segel system with external signal production. Journal of Mathematical Analysis and Applications. 2016;446(1):436-455. doi:10.1016/j.jmaa.2016.08.049
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34659
Black T. Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. Nonlinearity. 2016;29(6):1865-1886. doi:10.1088/0951-7715/29/6/1865
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34661
Black T. Sublinear signal production in a two-dimensional Keller–Segel–Stokes system. Nonlinear Analysis: Real World Applications. 2016;31:593-609. doi:10.1016/j.nonrwa.2016.03.008
LibreCat
| DOI