1 citations · 1 across the 10 of their papers we have counts for
10 papers
Time-periodic solutions of the Vlasov-Poisson-Boltzmann system with a general external force in
Renjun Duan, Jinkai Ni
In this paper, we study the time-periodic problem for the Vlasov-Poisson-Boltzmann (VPB) system with a given time-periodic external force in the whole space . The for…
On a free boundary problem of the Boltzmann equation
Shengchuang Chang, Renjun Duan, Shuangqian Liu
This paper studies a free boundary problem for the Boltzmann equation that models the interaction of rarefied gas with a moving wall---a classical piston problem in kinetic theory.…
Half-space problem on the Boltzmann equation with zero Mach number at infinity
Hongxu Chen, Jun-ling Chen, Renjun Duan
We study the long-time dynamics of the time-evolutionary Boltzmann equation with hard sphere collisions in the three-dimensional half-space \( \mathbb{R}^2 \times \mathbb{R}^+\), s…
Three-dimensional time-periodic problem on the Boltzmann equation with external force
Renjun Duan, Jinkai Ni
The time-periodic problem for the Boltzmann equation with a prescribed time-periodic external force in the three-dimensional whole space has remained open since it was first treate…
Diffusive limit of the Boltzmann equation around Rayleigh profile in the half space
Hongxu Chen, Renjun Duan
This paper concerns the diffusive limit of the time evolutionary Boltzmann equation in the half space for a small Knudsen number . F…
The Boltzmann equation in an infinite layer: spectrum and asymptotics toward the heat equation
Hongxu Chen, Renjun Duan, Shuangqian Liu
In the paper, we develop spectral theory to analyze the sharp asymptotic behavior of solutions to the Boltzmann equation around global Maxwellians in a three-dimensional infinite l…
Global dynamics of isothermal rarefied gas flows in an infinite layer
Hongxu Chen, Renjun Duan, Junhao Zhang
Let rarefied gas be confined in an infinite layer with diffusely reflecting boundaries that are isothermal and non-moving. The initial-boundary value problem on the nonlinear Boltz…
Steady compressible Navier-Stokes-Fourier system with slip boundary conditions arising from kinetic theory
Renjun Duan, Junhao Zhang
This paper studies the boundary value problem on the steady compressible Navier-Stokes-Fourier system in a channel domain with a class of generalized slip…
The 3D kinetic Couette flow via the Boltzmann equation in the diffusive limit
Renjun Duan, Shuangqian Liu, Robert M. Strain +1
In the paper we study the Boltzmann equation in the diffusive limit in a channel domain for the 3D kinetic Couette flow. Our results demonstrate that th…
Boltzmann equation with mixed boundary condition
Hongxu Chen, Renjun Duan
We study the Boltzmann equation in a smooth bounded domain featuring a mixed boundary condition. Specifically, gas particles experience specular reflection in two parallel plates,…