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math.AP2024
On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects
Jong-in Kim, Donghyun Lee
The Boltzmann equation is a fundamental equation in kinetic theory that describes the motion of rarefied gases. In this study, we examine the Boltzmann equation within a boun…
math.AP2024
Ill-posedness of the Boltzmann-BGK model in the exponential class
Donghyun Lee, Sungbin Park, Seok-Bae Yun
BGK (Bhatnagar-Gross-Krook) model is a relaxation-type model of the Boltzmann equation, which is popularly used in place of the Boltzmann equation in physics and engineering. In th…