100 citations · 588 across the 21 of their papers we have counts for
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On Some Recent Progress in the Vlasov-Poisson-Boltzmann System with Diffuse Reflection Boundary
Yunbai Cao, Chanwoo Kim
We discuss some recent development on the Vlasov-Poisson-Boltzmann system in bounded domains with diffuse reflection boundary condition. In addition we present a new regularity res…
Damping of kinetic transport equation with diffuse boundary condition
Jiaxin Jin, Chanwoo Kim
We prove that exponential moments of a fluctuation of the pure transport equation decay pointwisely almost as fast as when the domain is any general strictly convex subset…
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…
Incompressible Euler limit from Boltzmann equation with Diffuse Boundary Condition for Analytic data
Juhi Jang, Chanwoo Kim
A rigorous derivation of the incompressible Euler equations with the no-penetration boundary condition from the Boltzmann equation with the diffuse reflection boundary condition ha…