3 papers
math.AP2025
Steady Solutions to the Relativistic Boltzmann Equation in a Slab
Jin Woo Jang, Seok-Bae Yun
We study steady solutions to the relativistic Boltzmann equation with hard-sphere interactions in a slab geometry. Under a spatial symmetry assumption in the transverse variables $…
math.NA2025
Deep learning-based moment closure for multi-phase computation of semiclassical limit of the Schrödinger equation
Jin Woo Jang, Jae Yong Lee, Liu Liu +1
We present a deep learning approach for computing multi-phase solutions to the semiclassical limit of the Schrödinger equation. Traditional methods require deriving a multi-phase a…
math.AP2025
On the axially symmetric solutions to the spatially homogeneous Landau equation
Jin Woo Jang, Junha Kim
In this paper, we consider the spatially homogeneous Landau equation, which is a variation of the Boltzmann equation in the grazing collision limit. For the Landau equation for har…