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Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach

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) approximated solutions to the kinetic Fokker-Planck equation in a bounded interval and study the large-time asymptotic behavior of...

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Bibliografiske detaljer
Udgivet i:J Comput Phys
Main Authors: Hwang, Hyung Ju, Jang, Jin Woo, Jo, Hyeontae, Lee, Jae Yong
Format: Artigo
Sprog:Inglês
Udgivet: Elsevier Inc. 2020
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7286285/
https://ncbi.nlm.nih.gov/pubmed/32834105
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1016/j.jcp.2020.109665
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