Eingereicht/in Vorbereitung (in preparation):
Tobias Black, Michael Winkler: Global weak solutions and absorbing sets in a chemotaxis-fluid system with prescribed signal concentration on the boundary.
Tobias Black, Chunyan Wu: Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation.
Tobias Black, Mario Fuest, Johannes Lankeit: Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems.
Zeitschrift für angewandte Mathematik und Physik, Volume 72, April 2021. <link>
Tobias Black: Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties.
Mathematical Models and Methods in Applied Sciences, Volume 30, Number 6, June 2020. <link>
Tobias Black: The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system.
Journal of Mathematical Fluid Mechanics, Volume 22, Number 1, March 2020. <link>
Tobias Black: Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity.
Discrete and Continuous Dynamical Systems - Series S, Volume 13, Number 2, February 2020, 119-137. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: A Keller-Segel-fluid system with singular sensitivity: Generalized solutions.
Mathematical Methods in the Applied Sciences, Volume 42, June 2019, 3002-3020. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: Stabilization in the Keller-Segel system with signal-dependent sensitivity.
Applicable Analysis, 2019. <link>
Tobias Black: Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions.
Nonlinear Analysis, Volume 180, March 2019, 129-153. <link>
Tobias Black: Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D.
Journal of Differential Equations, Volume 265, Issue 5, September 2018, pp. 2296-2339. <link>
Tobias Black: Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion.
SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, July 2018, 4087–4116. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: Singular sensitivity in a Keller-Segel-fluid system.
Journal of Evolution Equations - June 2018, pp. 561-581. <link>
Tobias Black: Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals.
Discrete and Continuous Dynamical Systems - Series B, Volume 22, Issue 4, June 2017, pp. 1253 - 1272. <link>
Tobias Black: Boundedness in a Keller-Segel system with external signal production.
Journal of Mathematical Analysis and Applications, Volume 446, Issue 1, February 2017, pp. 436-455. <link>
Tobias Black: Sublinear signal production in a two-dimensional Keller-Segel-Stokes system.
Nonlinear Analysis: Real World Applications, Volume 31, October 2016, pp. 593-609. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: On the weakly competitive case in a two-species chemotaxis model.
IMA Journal of Applied Mathematics, Volume 81, Number 5, August 2016, pp. 860-876. <link>
Tobias Black: Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant.
Nonlinearity, Volume 29, Number 6 , May 2016, pp. 1865-1886. <link>
In case you cannot access one of the above articles you can write me an e-mail to tblack[at]math.upb.de or check arXiv.org for the preprint versions of the above articles. (Note that these may differ slightly from the published versions.)