4 papers
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…
Hypocoercivity for the Linear Semiconductor Boltzmann Equation with Boundaries and Uncertainties
Hongxu Chen, Liu Liu, Jiayu Wan
In this paper, we establish hypocoercivity for the semiconductor Boltzmann equation with the presence of an external electrical potential under the Maxwell boundary condition. We w…
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…