82 citations · 225 across the 18 of their papers we have counts for
6 papers · 1 filter
Boundedness and Exponential Stabilization in a Parabolic-Elliptic Keller--Segel Model with Signal-dependent Motilities for Local Sensing Chemotaxis
Jie Jiang
In this paper we consider the initial Neumann boundary value problem for a degenerate Keller--Segel model which features a signal-dependent non-increasing motility function. The ma…
Boundedness of Classical Solutions to a Degenerate Keller--Segel Type Model with Signal-dependent Motilities
Kentaro Fujie, Jie Jiang
In this paper, we consider the initial Neumann boundary value problem for a degenerate kinetic model of Keller--Segel type. The system features a signal-dependent decreasing motili…
Global Existence of Weak Solutions to a Signal-dependent Keller-Segel Model for Local Sensing Chemotaxis
Haixia Li, Jie Jiang
This paper is devoted to global existence of weak solutions to the following degenerate kinetic model of chemotaxis \begin{equation} \begin{cases}\label{chemo0} u_t=Δ(γ(v)u) τv_{t}…
On a Repulsion Keller--Segel System with a Logarithmic Sensitivity
Jie Jiang
In this paper, we study the initial-boundary value problem of a repulsion Keller--Segel system with a logarithmic sensitivity modeling the reinforced random walk. By establishing a…
Comparison Methods for a Keller--Segel-type Model of Pattern Formations with Density-suppressed Motilities
Kentarou Fujie, Jie Jiang
This paper is concerned with global existence as well as infinite-time blowups of classical solutions to the following fully parabolic kinetic system \begin{equation} \begin{cases}…
Global Existence for a Kinetic Model of Pattern Formation with Density-suppressed Motilities
Kentarou Fujie, Jie Jiang
In this paper, we consider global existence of classical solutions to the following kinetic model of pattern formation \begin{equation} \begin{cases} u_t=Δ(γ(v)u)+μu(1-u) -Δv+v=u \…