6 citations · 7 across the 6 of their papers we have counts for
13 papers
Global existence and boundedness in a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivities without logistic source
Yutaro Chiyo, Masaaki Mizukami, Tomomi Yokota
This paper deals with the fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivities, \begin{align*} \begin{cases} u_t=Δu-\nabla \cdot (uχ(v)\nabla…
Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model
Mario Fuest, Johannes Lankeit, Masaaki Mizukami
Global existence and boundedness of classical solutions of the chemotaxis--consumption system \begin{align*} n_t &= Δn - \nabla \cdot (n \nabla c), \\ 0 &= Δc - nc, \end{align*} un…
Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation
Yuka Chiyoda, Masaaki Mizukami, Tomomi Yokota
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{align*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\nabla…
Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
Masaaki Mizukami, Tatsuhiko Ono, Tomomi Yokota
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{equation*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\na…
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…