63 citations · 340 across the 15 of their papers we have counts for
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Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion
Tobias Black
We consider the chemotaxis-fluid system \begin{align}\label{star}\tag{} \left\{ \begin{array}{r@{\,}c@{\,}c@{\ }l@{\quad}l@{\quad}l@{\,}c} n_{t}&+&u\cdot\!\nabla n&=Δ…
Singular sensitivity in a Keller-Segel-fluid system
Tobias Black, Johannes Lankeit, Masaaki Mizukami
In bounded smooth domains , , considering the chemotaxis--fluid system \[ \begin{cases} \begin{split} & n_t + u\cdot \nabla n &= Δn - χ\nabla \cd…
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
Tobias Black
We investigate the parabolic-elliptic Keller-Segel model \begin{align*}\left\{\begin{array}{r@{\,}l@{\quad}l@{\quad}l@{\,}c} u_{t}&=Δu-\,χ\nabla\!\cdot(\frac{u}{v}\nabla v),\ &x\in…
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system
Tobias Black
We study the chemotaxis-fluid system \begin{align*} \left\{ \begin{array}{r@{\,}c@{\,}c@{\ }l@{\quad}l@{\quad}l@{\,}c} n_{t}&+&u\cdot\!\nabla n&=Δn-\nabla\!\cdot(\frac{n}{c}\nabla…