9 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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 .…