4 papers
Global boundedness of weak solutions to a flux-limited Keller--Segel system with superlinear production
Shohei Kohatsu
The flux-limited Keller--Segel system \begin{align*} \begin{cases} u_t = Δu - χ\nabla \cdot (u|\nabla v|^{p-2}\nabla v), \\[] v_t = Δv - v + u^θ \end{cases} \end{align*} is conside…
Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity and sublinear signal production
Shohei Kohatsu
This paper deals with the homogeneous Neumann boundary-value problem for the Keller--Segel system \begin{align*} \begin{cases} u_t=Δu - χ\nabla \cdot (u|\nabla v|^{p-2}\nabla v),\\…
Instantaneous regularization of measure-valued population densities in a Keller--Segel system with flux limitation
Shohei Kohatsu
This paper is concerned with the Keller--Segel system with flux limitation, \begin{align} \tag{} \begin{cases} u_t=Δu - \nabla \cdot (uf(|\nabla v|^{2})\nabla v), \\ v_t=Δv -…
Large densities in a competitive two-species chemotaxis system in the non-symmetric case
Shohei Kohatsu, Johannes Lankeit
This paper deals with the two-species chemotaxis system with Lotka-Volterra competitive kinetics, \begin{align*} \begin{cases} u_t = d_1 Δu - χ_1 \nabla \cdot (u \nabla w) + μ_1 u…