21 citations · 34 across the 5 of their papers we have counts for
8 papers
Glassey-Strauss representation of Vlasov-Maxwell systems in a Half Space
Yunbai Cao, Chanwoo Kim
Following closely the classical works [8]-[12] by Glassey, Strauss, and Schaeffer, we present a version of the Glassey-Strauss representation for the Vlasov-Maxwell systems in a 3D…
Passage from the Boltzmann equation with Diffuse Boundary to the Incompressible Euler equation with Heat Convection
Yunbai Cao, Juhi Jang, Chanwoo Kim
We derive the incompressible Euler equations with heat convection with the no-penetration boundary condition from the Boltzmann equation with the diffuse boundary in the hydrodynam…
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…
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…