100 citations · 588 across the 21 of their papers we have counts for
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Hölder regularity of the Boltzmann equation past an obstacle
Chanwoo Kim, Donghyun Lee
Regularity and singularity of the solutions according to the shape of domains is a challenging research theme in the Boltzmann theory (\cite{Kim11,GKTT1}). In this paper, we prove…
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…