5 papers
Stationary solutions to the relativistic BGK model for gas mixtures in a slab
Byung-Hoon Hwang, Myeong-Su Lee
In a recent paper [16], the authors proposed a BGK model for relativistic gas mixtures based on the Marle-type approximation, which satisfies the fundamental kinetic properties: no…
Classical solutions to a BGK-type model relaxing to the isentropic gas dynamics
Byung-Hoon Hwang
In this paper, we consider a BGK-type kinetic model relaxing to the isentropic gas dynamics in the hydrodynamic limit. We introduce a linearization of the equation around the globa…
Relativistic BGK model for gas mixtures
Byung-Hoon Hwang, Myeong-Su Lee, Seok-Bae Yun
Unlike the case for classical particles, the literature on BGK type models for relativistic gas mixture is extremely limited. There are a few results %\cite{Kremer,Kremer3,KP} in w…
From BGK-alignment model to the pressured Euler-alignment system with singular communication weights
Young-Pil Choi, Byung-Hoon Hwang
This paper is devoted to a rigorous derivation of the isentropic Euler-alignment system with singular communication weights for some . We consider a kinet…
Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations
Young-Pil Choi, Byung-Hoon Hwang
We establish the global-in-time existence of weak solutions to a variant of the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] which leads to the barotropic E…