A local sensitivity and regularity analysis for the Vlasov-Poisson-Fokker-Planck system with multi-dimensional uncertainty and the spectral convergence of the stochastic Galerkin method
DOI10.3934/nhm.2019027zbMath1440.65149OpenAlexW2981778767MaRDI QIDQ2303650
Publication date: 4 March 2020
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2019027
multiscaleuncertainty quantificationFokker-PlanckVlasov-Poissonstochastic Galerkin methoduniform regularityuniform spectral convergence
Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
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