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math.AP2020
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…
math.AP2020
A half-space problem on the full Euler-Poisson system
Renjun Duan, Haiyan Yin, Changjiang Zhu
This paper is concerned with the initial-boundary value problem on the full Euler-Poisson system for ions over a half line. We establish the existence of stationary solutions under…
math.AP2020★ 2 cited
The Boltzmann equation with large-amplitude initial data and specular reflection boundary condition
Renjun Duan, Gyounghun Ko, Donghyun Lee
For the Boltzmann equation with cutoff hard potentials, we construct the unique global solution converging with an exponential rate in large time to global Maxwellians not only for…