Homogenization and diffusion approximation of the Vlasov–Poisson–Fokker–Planck system: A relative entropy approach
DOI10.3233/ASY-201608zbMath1472.35385OpenAlexW3011711756MaRDI QIDQ4999988
Lanoir Addala, Mohamed Lazhar Tayeb, Najoua El Ghani
Publication date: 5 July 2021
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-201608
diffusion approximationhomogenizationrenormalized solutionVlasov-Poisson-Fokker-Planck systemdrift-diffusion equationtwo scale convergenceaveraging lemma
PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of semiconductors (82D37) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Motion of charged particles (78A35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
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