57 citations · 163 across the 18 of their papers we have counts for
4 papers · 1 filter
Stabilization in the Keller--Segel system with signal-dependent sensitivity
Tobias Black, Johannes Lankeit, Masaaki Mizukami
This paper deals with the Keller--Segel system with signal-dependent sensitivity \begin{align*} &u_t = Δu - χ\nabla \cdot (uS(v)\nabla v), &v_t = Δv - v + u, \end{align*} where $χ>…
How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis-Navier--Stokes system?
Masaaki Mizukami
This paper considers the chemotaxis-Navier--Stokes system with nonlinear diffusion and logistic-type degradation term \begin{align*} \begin{cases} n_t + u\cdot\nabla n = \nabla \cd…
A Keller-Segel-fluid system with singular sensitivity: Generalized solutions
Tobias Black, Johannes Lankeit, Masaaki Mizukami
In bounded smooth domains , , we consider the Keller-Segel-Stokes system \begin{align*} n_t + u\cdot \nabla n &= Δn - χ\nabla \cdot(\frac{n}{c}\n…
Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier--Stokes system with logistic source
Shunsuke Kurima, Masaaki Mizukami
This paper considers the degenerate and singular chemotaxis-Navier--Stokes system with logistic term , $x \in Ω,\ t…