128 citations · 664 across the 50 of their papers we have counts for
53 papers
The Boltzmann Equation for 2D Taylor-Couette Flow
Renjun Duan, Weiqiang Wang, Yong Wang
In this paper, we investigate the existence of 2-D Taylor-Couette flow for a rarefied gas between two coaxial rotating cylinders, characterized by differing angular velocities at t…
Global stability of the inhomogeneous sheared Boltzmann equation in torus
Renjun Duan, Shuangqian Liu, Shunlin Shen
Homo-energetic solutions to the spatially homogeneous Boltzmann equation have been extensively studied, but their global stability in the inhomogeneous setting remains challenging…
A note on Landau damping of two-species Vlasov-Poisson system
Renjun Duan, Zhiwen Zhang
In this note we adopt an approach by Grenier, Nguyen and Rodnianski in \cite{GNR} for studying the nonlinear Landau damping of the two-species Vlasov-Poisson system in the phase sp…
KdV limit for the Vlasov-Poisson-Landau system
Renjun Duan, Dongcheng Yang, Hongjun Yu
Two fundamental models in plasma physics are given by the Vlasov-Poisson-Landau system and the compressible Euler-Poisson system which both capture the complex dynamics of plasmas…
Global quasineutral Euler limit for the Vlasov-Poisson-Landau system with rarefaction waves
Renjun Duan, Dongcheng Yang, Hongjun Yu
In the paper, we consider the Cauchy problem on the spatially one-dimensional Vlasov-Poisson-Landau system modelling the motion of ions under a generalized Boltzmann relation. Let…
Global mild solution with polynomial tail for the Boltzmann equation in the whole space
Renjun Duan, Zongguang Li, Shuangqian Liu
We are concerned with the Cauchy problem on the Boltzmann equation in the whole space. The goal is to construct global-in-time bounded mild solutions near Maxwellians with the pert…