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math.AP2026

Global Well-posedness for the Multi-species Boltzmann Equation with Large Amplitude Initial Data

Gyounghun Ko, Myeong-Su Lee, Sung-Jun Son

This paper establishes the global well-posedness of the multi-species Boltzmann equation with large-amplitude initial data in the periodic domain . In contrast to the…

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.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.AP2021

Entropy production estimate for the ES-BGK model with the correct Prandtl number

Doheon Kim, Myeong-Su Lee, Seok-Bae Yun

In this paper, we establish the entropy-entropy production estimate for the ES-BGK model, a generalized version of the BGK model of the Boltzmann equation introduced for better app…