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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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Detalles Bibliográficos
Autores principales: Hwang, Hyung Ju, Jang, Jin Woo, Jo, Hyeontae, Lee, Jae Yong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Inc. 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7286285/
https://www.ncbi.nlm.nih.gov/pubmed/32834105
http://dx.doi.org/10.1016/j.jcp.2020.109665