40 citations · 135 across the 22 of their papers we have counts for
7 papers · 1 filter
The relativistic quantum Boltzmann equation near equilibrium
Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun
The relativistic quantum Boltzmann equation (or the relativistic Uehling-Uhlenbeck equation) describes the dynamics of single-species fast-moving quantum particles. With the recent…
Kinetic Models for Semiflexible Polymers in a Half-plane
Jin Woo Jang, Juan J. L. Velázquez
Based on a general discrete model for a semiflexible polymer chain, we introduce a formal derivation of a kinetic equation for semiflexible polymers in the half-plane via a continu…
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach
Jae Yong Lee, Jin Woo Jang, Hyung Ju Hwang
The model reduction of a mesoscopic kinetic dynamics to a macroscopic continuum dynamics has been one of the fundamental questions in mathematical physics since Hilbert's time. In…
decay for the linearized Landau equation with the specular boundary condition
Yan Guo, Hyung Ju Hwang, Jin Woo Jang +1
In this paper, we develop an alternative approach to establish the decay estimate for the linearized Landau equation in a bounded domain with specular boundary condition. The…
On the Determinant Problem for the Relativistic Boltzmann Equation
James Chapman, Jin Woo Jang, Robert M. Strain
This article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Ne…
Averaging with a time-dependent perturbation parameter
David Fajman, Gernot Heißel, Jin Woo Jang
Motivated by recent problems in mathematical cosmology, in which temporal averaging methods are applied in order to analyze the future asymptotics of models which exhibit oscillato…
Propagation of estimates for the Spatially Homogeneous Relativistic Boltzmann Equation
Jin Woo Jang, Seok-Bae Yun
In this paper, we prove the propagation of upper bounds for the spatially homogeneous relativistic Boltzmann equation for any . We consider the case of relativist…