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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…
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…