28 citations · 62 across the 17 of their papers we have counts for
17 papers
Behavior in time of solutions of a Keller--Segel system with flux limitation and source term
Monica Marras, Stella Vernier-Piro, Tomomi Yokota
In this paper we consider radially symmetric solutions of the following parabolic--elliptic cross-diffusion system \begin{equation*} \begin{cases} u_t = Δu - \nabla \cdot (u f(|\na…
Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?
Masaaki Mizukami, Yuya Tanaka, Tomomi Yokota
This paper deals with the two-species chemotaxis-competition models \begin{align*} \begin{cases} u_t = d_1 Δu - χ_1 \nabla \cdot (u \nabla w) + μ_1 u (1- u^{κ_1-1} - a_1 v^{λ_1-1})…
Global existence and stabilization in a diffusive predator-prey model with population flux by attractive transition
Frederic Heihoff, Tomomi Yokota
The diffusive Lotka-Volterra predator-prey model \begin{eqnarray*} \left\{ \begin{array}{rcll} u_t &=& \nabla\cdot \left[ d_1\nabla u + χv^2 \nabla \Big(\dfrac{u}{v}\Big)\right] +u…
Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system
Yutaro Chiyo, Tomomi Yokota
This paper deals with the quasilinear attraction-repulsion chemotaxis system \begin{align*} \begin{cases} u_t=\nabla\cdot \big((u+1)^{m-1}\nabla u -χu(u+1)^{p-2}\nabla v +ξu(u+1)^{…
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…
Blow-up phenomena in a parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with superlinear logistic degradation
Yutaro Chiyo, Monica Marras, Yuya Tanaka +1
This paper is concerned with the attraction-repulsion chemotaxis system with superlinear logistic degradation, \begin{align*} \begin{cases} u_t = Δu - χ\nabla\cdot(u \nabla v) + ξ\…
Boundedness in a fully parabolic attraction-repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity
Yutaro Chiyo, Tomomi Yokota
This paper deals with the quasilinear fully parabolic attraction-repulsion chemotaxis system \begin{align*} u_t=\nabla \cdot (D(u)\nabla u) -\nabla \cdot (G(u)χ(v)\nabla v) +\nabla…
Remarks on finite-time blow-up in a fully parabolic attraction-repulsion chemotaxis system via reduction to the Keller-Segel system
Yutaro Chiyo, Tomomi Yokota
This paper deals with the fully parabolic attraction-repulsion chemotaxis system \begin{align*} u_t=Δu-χ\nabla \cdot (u\nabla v)+ξ\nabla\cdot(u \nabla w), \quad v_t=Δv-v+u, \quad w…
Remarks on two connected papers about Keller-Segel systems with nonlinear production
Yuya Tanaka, Giuseppe Viglialoro, Tomomi Yokota
These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the paper…
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…
Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system
Teruto Nishino, Tomomi Yokota
This paper deals with a lower bound for the blow-up time for solutions of the fully parabolic chemotaxis system \begin{equation*} \begin{cases} u_t=\nabla \cdot [(u+α)^{m_1-1} \nab…
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,…
Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems
Pierluigi Colli, Takeshi Fukao
An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of we…