9 citations · 13 across the 12 of their papers we have counts for
4 papers · 2 filters
The Boltzmann equation with time-periodic boundary temperature
Renjun Duan, Yong Wang, Zhu Zhang
This paper is concerned with the boundary-value problem on the Boltzmann equation in bounded domains with diffuse-reflection boundary where the boundary temperature is time-periodi…
Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas
Renjun Duan, Feimin Huang, Yong Wang +1
In the paper, assuming that the motion of rarefied gases in a bounded domain is governed by the angular cutoff Boltzmann equation with diffuse reflection boundary, we study the eff…
Ion-acoustic shock in a collisional plasma
Renjun Duan, Shuangqian Liu, Zhu Zhang
The paper is concerned with the propagation of ion-acoustic shock waves in a collision dominated plasma. We firstly establish the existence and uniqueness of a small-amplitude smoo…
Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains
Renjun Duan, Shuangqian Liu
It is well known that the full compressible Navier-Stokes equations can be deduced via the Chapman-Enskog expansion from the Boltzmann equation as the first-order correction to the…