9 citations · 13 across the 9 of their papers we have counts for
17 papers · 1 filter
Uniform shear flow via the Boltzmann equation with hard potentials
Renjun Duan, Shuangqian Liu
The motion of rarefied gases for uniform shear flow at the kinetic level is governed by the spatially homogeneous Boltzmann equation with a deformation force. In the paper we study…
An approach for the non-cutoff Boltzmann equation in
Renjun Duan, Shota Sakamoto, Yoshihiro Ueda
In the paper, we develop an approach to construct global solutions to the Cauchy problem on the non-cutoff Boltzmann equation near equilibrium in .…
The Boltzmann equation for plane Couette flow
Renjun Duan, Shuangqian Liu, Tong Yang
In the paper, we study the plane Couette flow of a rarefied gas between two parallel infinite plates at moving relative to each other with opposite velocities $(\pm αL,0,…
Solutions to the non-cutoff Boltzmann equation in the grazing limit
Duan Renjun, He Ling-Bing, Yang Tong +1
It is known that in the parameters range spectral gap does not exist for the linearized Boltzmann operator without cutoff but it does for the linearized Landau oper…
Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation
Renjun Duan, Wei-Xi Li, Lvqiao Liu
In the paper, for the Cauchy problem on the non-cutoff Boltzmann equation in torus, we establish the global-in-time Gevrey smoothness in velocity and space variables for a class of…
Small Knudsen rate of convergence to rarefaction wave for the Landau equation
Renjun Duan, Dongcheng Yang, Hongjun Yu
In this paper, we are concerned with the hydrodynamic limit to rarefaction waves of the compressible Euler system for the Landau equation with Coulomb potentials as the Knudsen num…