The model reduction of the Vlasov–Poisson–Fokker–Planck system to the Poisson–Nernst–Planck system via the Deep Neural Network Approach
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Publication:5163496
DOI10.1051/m2an/2021038OpenAlexW3201436609MaRDI QIDQ5163496
Jaeyong Lee, Hyung-Ju Hwang, Jin Woo Jang
Publication date: 4 November 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.13280
artificial neural networkVlasov-Poisson-Fokker-Planck systemPoisson-Nernst-Planck systemdiffusion limitasymptotic-preserving scheme
Asymptotic behavior of solutions to PDEs (35B40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Fokker-Planck equations (35Q84)
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