3 citations · 7 across the 5 of their papers we have counts for
7 papers
Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition
Yunbai Cao, Chanwoo Kim
We consider relativistic plasma particles subjected to an external gravitation force in a D half space whose boundary is a perfect conductor. When the mean free path is much big…
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…
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…
Rarefied gas dynamics with external fields under specular reflection boundary condition
Yunbai Cao
We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical solutions away from…
A note on two species collisional plasma in bounded domains
Yunbai Cao
We construct a unique global-in-time solution to the two species Vlasov-Poisson-Boltzmann system in convex domains with the diffuse boundary condition, which can be viewed as one o…