40 citations · 135 across the 22 of their papers we have counts for
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math.NA2019★ 40 cited
Trend to Equilibrium for the Kinetic Fokker-Planck Equation via the Neural Network Approach
Hyung Ju Hwang, Jin Woo Jang, Hyeontae Jo +1
The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximate…
math.AP2019★ 3 cited
Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation
Jin Woo Jang, Robert M. Strain, Seok-Bae Yun
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These bounds have been known to be a chall…
math.AP2019★ 33 cited
The Landau equation with the specular reflection boundary condition
Yan Guo, Hyung Ju Hwang, Jin Woo Jang +1
The existence and stability of the Landau equation (1936) in a general bounded domain with a physical boundary condition is a long-outstanding open problem. This work proves the gl…