3 papers
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…
math.AP2025
From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation
Seung Yeon Cho, Young-Pil Choi, Byung-Hoon Hwang +1
We propose a BGK-type kinetic model for a binary gas mixture, designed to serve as a kinetic formulation of compressible two-phase fluid dynamics. The model features species-depend…