3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
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…