5 papers
Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit
Jie Liao
A nonlinear kinetic chemotaxis model with internal dynamics incorporating signal transduction and adaptation is considered. This paper is concerned with: (i) the global solution fo…
Synchronising and Non-synchronising Dynamics for a Two-species Aggregation Model
Casimir Emako, Jie Liao, Nicolas Vauchelet
This paper deals with analysis and numerical simulations of a one-dimensional two-species hyperbolic aggregation model. This model is formed by a system of transport equations with…
Global existence and convergence rates of planar waves for three-dimensional bipolar Euler-Poisson systems
Jie Liao, Yeping Li
In the paper, we consider a multi-dimensional bipolar hydrodynamic model from semiconductor devices and plasmas. This system takes the form of Euler-Poisson with electric field and…
Some A priori estimates for the homogeneous Landau equation with soft potentials
Radjesvarane Alexandre, Jie Liao, Chunjin Lin
This paper deals with the derivation of some á priori estimates for the homogeneous Landau equation with soft potentials. Using the coercivity of the Landau operator for soft poten…
Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model
Radjesvarane Alexandre, Jie Liao, Chunjin Lin
The convergence to the equilibrium of the solution of the quantum Kac model for Bose-Einstein identical particles is studied in this paper. Using the relative entropy method and a…