21 citations · 21 across the 2 of their papers we have counts for
3 papers
math.AP2021
Regularity of Boltzmann equation with Cercignani-Lampis boundary in convex domain
Hongxu Chen
The Boltzmann equation is a fundamental kinetic equation that describes the dynamics of dilute gas. In this paper we study the regularity of both dynamical and steady Boltzmann equ…
math.AP2021★ 21 cited
Local Well-posedness of Vlasov-Poisson-Boltzmann Equation with Generalized Diffuse Boundary Condition
Hongxu Chen, Chanwoo Kim, Qin Li
The Vlasov-Poisson-Boltzmann equation is a classical equation governing the dynamics of charged particles with the electric force being self-imposed. We consider the system in a co…
math.AP2020
Regularity of Stationary Boltzmann equation in Convex Domains
Hongxu Chen, Chanwoo Kim
Higher regularity estimate has been a challenging question for the Boltzmann equation in bounded domains. Indeed, it is well-known to have "the non-existence of a second order deri…