28 citations · 62 across the 17 of their papers we have counts for
4 papers · 1 filter
Nonlinear diffusion equations as asymptotic limits of Cahn--Hilliard systems on unbounded domains via Cauchy's criterion
Takeshi Fukao, Shunsuke Kurima, Tomomi Yokota
This paper develops an abstract theory for subdifferential operators to give existence and uniqueness of solutions to the initial-boundary problem (P) for the nonlinear diffusion e…
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…
A direct approach to quasilinear parabolic equations on unbounded domains by Brézis's theory for subdifferential operators
Shunsuke Kurima, Tomomi Yokota
This paper is concerned with existence and uniqueness of solutions to two kinds of quasilinear parabolic equations. One is described as the form which includes the porous media and…
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,…