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math.AP2021★ 1 cited
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,…
math.AP2021
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…
math.AP2021
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…