3 citations · 4 across the 8 of their papers we have counts for
8 papers
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…
A Theory-guided Weighted Loss for solving the BGK model via Physics-informed neural networks
Gyounghun Ko, Sung-Jun Son, Seung Yeon Cho +1
While Physics-Informed Neural Networks offer a promising framework for solving partial differential equations, the standard loss formulation is fundamentally insufficient whe…
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…
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…
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…
Inexact Online Proximal Mirror Descent for time-varying composite optimization
Woocheol Choi, Myeong-Su Lee, Seok-Bae Yun
In this paper, we consider the online proximal mirror descent for solving the time-varying composite optimization problems. For various applications, the algorithm naturally involv…
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…
Stationary BGK models for chemically reacting gas in a slab
Doheon Kim, Myeong-Su Lee, Seok-Bae Yun
We study the boundary value problem of two stationary BGK-type models - the BGK model for fast chemical reaction and the BGK model for slow chemical reaction - and provide a unifie…