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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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Detalhes bibliográficos
Publicado no:J Comput Phys
Main Authors: Hwang, Hyung Ju, Jang, Jin Woo, Jo, Hyeontae, Lee, Jae Yong
Formato: Artigo
Idioma:Inglês
Publicado em: Elsevier Inc. 2020
Assuntos:
Acesso em linha: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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