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19 Publications


2018 | Journal Article | LibreCat-ID: 34664
Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” SIAM Journal on Mathematical Analysis, vol. 50, no. 4, Society for Industrial & Applied Mathematics (SIAM), 2018, pp. 4087–116, doi:10.1137/17m1159488.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 34666
Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular Chemotaxis-Stokes System in 2D.” Journal of Differential Equations, vol. 265, no. 5, Elsevier BV, 2018, pp. 2296–339, doi:10.1016/j.jde.2018.04.035.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 34667
Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” Nonlinear Analysis, vol. 180, Elsevier BV, 2018, pp. 129–53, doi:10.1016/j.na.2018.10.003.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 34663
Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” Discrete & Continuous Dynamical Systems - B, vol. 22, no. 4, American Institute of Mathematical Sciences (AIMS), 2017, pp. 1253–72, doi:10.3934/dcdsb.2017061.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 34665
Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.” Journal of Evolution Equations, vol. 18, no. 2, Springer Science and Business Media LLC, 2017, pp. 561–81, doi:10.1007/s00028-017-0411-5.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 34660
Black, Tobias, et al. “On the Weakly Competitive Case in a Two-Species Chemotaxis Model.” IMA Journal of Applied Mathematics, vol. 81, no. 5, Oxford University Press (OUP), 2016, pp. 860–76, doi:10.1093/imamat/hxw036.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 34662
Black, Tobias. “Boundedness in a Keller–Segel System with External Signal Production.” Journal of Mathematical Analysis and Applications, vol. 446, no. 1, Elsevier BV, 2016, pp. 436–55, doi:10.1016/j.jmaa.2016.08.049.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 34659
Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence of an External Chemoattractant.” Nonlinearity, vol. 29, no. 6, IOP Publishing, 2016, pp. 1865–86, doi:10.1088/0951-7715/29/6/1865.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 34661
Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes System.” Nonlinear Analysis: Real World Applications, vol. 31, Elsevier BV, 2016, pp. 593–609, doi:10.1016/j.nonrwa.2016.03.008.
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