3 papers
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…
cs.LG2026
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…
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…