activity
20182025
most citedAnderson-Witting model of the relativistic Boltzmann equation near equilibrium

12 citations · 16 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2025

Relativistic BGK model for reactive gas mixtures

Seung-Yeon Cho, Byung-Hoon Hwang, Myeong-Su Lee +1

We propose a BGK-type kinetic model for relativistic reactive gas mixtures. This model serves as a computationally tractable yet physically consistent alternative to the correspond…

math.AP2024

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…

math.AP2024

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…

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…

math.AP2021★ 1 cited

Relativistic BGK model for massless particles in the FLRW spacetime

Byung-Hoon Hwang, Ho Lee, Seok-Bae Yun

In this paper, we address the Cauchy problem for the relativistic BGK model proposed by Anderson and Witting for massless particles in the Friedmann-Lemaitre-Robertson-Walker (FLRW…

math.AP2021

On a relativistic BGK model for polyatomic gases near equilibrium

Byung-Hoon Hwang, Tommaso Ruggeri, Seok-Bae Yun

Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi and Ruggeri [J. of Phys. Conf. Series, 1035, (2018)] to overcome drawbacks of the Anderson-Witting mode…

math.AP2018★ 12 cited

Anderson-Witting model of the relativistic Boltzmann equation near equilibrium

Byung-Hoon Hwang, Seok-Bae Yun

Anderson-Witting model is a relaxational model equation of the relativistic Boltzmann equation, which sees a wide application in physics. In this paper, we study the existence of c…

math.AP2018★ 3 cited

Stationary solutions to the boundary value problem for relativistic BGK model in a slab

Byung-Hoon Hwang, Seok-Bae Yun

In this paper, we are concerned with the boundary value problem in a slab for the stationary relativistic BGK model of Marle type, which is a relaxation model of the relativistic B…