Donghyun Lee

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math.AP2025

Global solutions in $L_{v}^{p} L_{x}^{\infty}$ for the Boltzmann equation in bounded domains

Dingqun Deng, Jong-in Kim, Donghyun Lee

The existence theory for solutions to the Boltzmann equation in bounded domains has primarily been developed within uniformly bounded function classes, such as $L_{x, v}^{\infty}$ ,…

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 $C^{1}$ boun…

Global solutions in Lvp​Lx∞​ for the Boltzmann equation in bounded domains

On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects

Global solutions in $L_{v}^{p} L_{x}^{\infty}$ for the Boltzmann equation in bounded domains