4 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…
Asymptotic behavior of large-amplitude solutions to the Boltzmann equation with soft interactions in spaces
Jong-in Kim, Gyounghun Ko
In this paper, we study the global well-posedness of the Boltzmann equation within the framework for soft potential models with angular cutoff in a period…
Global Stability of the Boltzmann Equation for a Polyatomic Gas with Initial Data Allowing Large Oscillations
Gyounghun Ko, Sung-jun Son
In this paper, we consider the Boltzmann equation for a polyatomic gas. We establish that the mild solution to the Boltzmann equation on the torus is globally well-posed, provided…