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math.AP2023
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…
math.AP2023
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…
math.AP2023
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…