Eingereicht/in Vorbereitung (in preparation):
Tobias Black, Mario Fuest, Johannes Lankeit, Masaaki Mizukami: Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. <arXiv>
Tobias Black, 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, 61, March 2022. <link>
Tobias Black, Michael Winkler: Global weak solutions and absorbing sets in a chemotaxis-fluid system with prescribed signal concentration on the boundary.
Mathematical Models and Methods in Applied Sciences, 32(1), January 2022. <link>
Tobias Black, Chunyan Wu: Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation.
Zeitschrift für angewandte Mathematik und Physik, 72, Number 135, June 2021. <link>
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, 72, Number 96, 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, 30(6), June 2020. <link>
Tobias Black: The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system.
Journal of Mathematical Fluid Mechanics, 22(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, 13(2), February 2020. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: A Keller-Segel-fluid system with singular sensitivity: Generalized solutions.
Mathematical Methods in the Applied Sciences, 42, June 2019. <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, 180, March 2019. <link>
Tobias Black: Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D.
Journal of Differential Equations, 265(5), September 2018. <link>
Tobias Black: Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion.
SIAM Journal on Mathematical Analysis, 50(4), July 2018. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: Singular sensitivity in a Keller-Segel-fluid system.
Journal of Evolution Equations - June 2018. <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, 22(4), June 2017. <link>
Tobias Black: Boundedness in a Keller-Segel system with external signal production.
Journal of Mathematical Analysis and Applications, 446(1), February 2017. <link>
Tobias Black: Sublinear signal production in a two-dimensional Keller-Segel-Stokes system.
Nonlinear Analysis: Real World Applications, 31, October 2016. <link>
Tobias Black, Johannes Lankeit, Masaaki Mizukami: On the weakly competitive case in a two-species chemotaxis model.
IMA Journal of Applied Mathematics, 81(5), August 2016. <link>
Tobias Black: Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant.
Nonlinearity, 29(6), May 2016. <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.)