16 citations · 33 across the 8 of their papers we have counts for
9 papers · 1 filter
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
Jie Jiang, Philippe Laurençot, Yanyan Zhang
Well-posedness and uniform-in-time boundedness of classical solutions are investigated for a three-component parabolic system which describes the dynamics of a population of cells…
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
Jie Jiang, Philippe Laurençot
Global existence is established for classical solutions to a chemotaxis model with signal-dependent motility for a general class of motility functions which may in particular d…
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…