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.
19 Publications
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: 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: 34677
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:10.1007/s00526-022-02201-y.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34673
Black, Tobias, et al. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 72, no. 3, 96, Springer Science and Business Media LLC, 2021, doi:10.1007/s00033-021-01524-8.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 72, no. 4, 135, Springer Science and Business Media LLC, 2021, doi:10.1007/s00033-021-01565-z.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 34670
Black, Tobias. “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, World Scientific Pub Co Pte Lt, 2020, pp. 1075–117, doi:10.1142/s0218202520400072.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS), 2019, pp. 119–37, doi:10.3934/dcdss.2020007.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Mathematical Fluid Mechanics, vol. 22, no. 1, 1, Springer Science and Business Media LLC, 2019, doi:10.1007/s00021-019-0464-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, Wiley, 2019, pp. 3002–20, doi:10.1002/mma.5561.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
Black, Tobias, et al. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis, vol. 99, no. 16, Informa UK Limited, 2019, pp. 2877–91, doi:10.1080/00036811.2019.1585534.
LibreCat
| DOI
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.
LibreCat
| DOI