activity
20162026
most citedTrend to Equilibrium for the Kinetic Fokker-Planck Equation via the Neural Network Approach

40 citations · 135 across the 22 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.AP2021

Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus

Jin Woo Jang, Robert M. Strain, Tak Kwong Wong

Although the nuclear fusion process has received a great deal of attention in recent years, the amount of mathematical analysis that supports the stability of the system seems to b…

math.AP2021★ 6 cited

LTE and Non-LTE Solutions in Gases Interacting with Radiation

Jin Woo Jang, Juan J. L. Velázquez

In this paper, we study a class of kinetic equations describing radiative transfer in gases which include also the interaction of the molecules of the gas with themselves. We discu…

math.AP2021

Asymptotic Stability of the Relativistic Boltzmann Equation without Angular Cut-off

Jin Woo Jang, Robert M. Strain

This paper is concerned with the relativistic Boltzmann equation without angular cutoff. We establish the global-in-time existence, uniqueness, and asymptotic stability for solutio…

math.AP2021★ 2 cited

Frequency multiplier estimates for the linearized relativistic Boltzmann operator without angular cutoff

Jin Woo Jang, Robert M. Strain

This paper is concerned with the relativistic Boltzmann equation without angular cutoff. The non-cutoff theory for the relativistic Boltzmann equation has been rarely studied even…

math.NA2021★ 5 cited

Sobolev Training for Physics Informed Neural Networks

Hwijae Son, Jin Woo Jang, Woo Jin Han +1

Physics Informed Neural Networks (PINNs) is a promising application of deep learning. The smooth architecture of a fully connected neural network is appropriate for finding the sol…