57 citations · 163 across the 18 of their papers we have counts for
9 papers · 1 filter
The fast signal diffusion limit in a Keller-Segel system
Masaaki Mizukami
This paper deals with convergence of a solution for the parabolic-parabolic Keller-Segel system \[ (u_λ)_t = Δu_λ- χ\nabla \cdot (u_λ\nabla v_λ), \quad λ(v_λ)_t = Δv_λ- v_λ+ u_λ\qu…
The fast signal diffusion limit in a chemotaxis system with strong signal sensitivity
Masaaki Mizukami
This paper gives a first insight into making a mathematical bridge between the parabolic-parabolic signal-dependent chemotaxis system and its parabolic-elliptic version. To be more…
Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier--Stokes system with competitive kinetics
Misaki Hirata, Shunsuke Kurima, Masaaki Mizukami +1
This paper is concerned with the 3-dimensional two-species chemotaxis-Navier--Stokes system with Lotka--Volterra competitive kinetics under homogeneous Neumann boundary conditions…
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 existence and asymptotic behavior of classical solutions for a 3D two-species Keller--Segel-Stokes system with competitive kinetics
Xinru Cao, Shunsuke Kurima, Masaaki Mizukami
This paper deals with the two-species Keller--Segel-Stokes system with competitive kinetics $(n_1)_t + u\cdot\nabla n_1 =Δn_1 - χ_1\nabla\cdot(n_1\nabla c)+ μ_1n_1(1- n_1 - a_1n_2)…
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Masaaki Mizukami
This paper deals with the two-species chemotaxis-competition system. About the problem, Bai--Winkler first obtained asymptotic stability under some conditions. Recently, the condit…
Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type
Masaaki Mizukami
This paper deals with the two-species chemotaxis-competition system , $v_t = d_2 Δv - χ_2 \nabla \cdot (v \nabl…
Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics
Xinru Cao, Shunsuke Kurima, Masaaki Mizukami
This paper considers the two-species chemotaxis-Stokes system with competitive kinetics under homogeneous Neumann boundary conditions in a three-dimensional bounded domain with smo…
A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity
Masaaki Mizukami, Tomomi Yokota
This paper deals with the Keller--Segel system with signal-dependent sensitivity \begin{equation*} u_t=Δu - \nabla \cdot (u χ(v)\nabla v), \quad v_t=Δv + u - v, \quad x\inΩ,\ t>0,…