\(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system
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Publication:2046497
DOI10.1007/s10955-021-02784-4zbMath1486.82034arXiv1909.12762OpenAlexW3175504352MaRDI QIDQ2046497
Jean Dolbeault, Lanoir Addala, Xingyu Li, Mohamed Lazhar Tayeb
Publication date: 18 August 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.12762
convergencerate of convergenceconfinementlarge-time behaviorVlasov-Poisson-Fokker-Planck systemhypocoercivitydiffusion limit
PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of semiconductors (82D37) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Integro-differential operators (47G20) Vlasov equations (35Q83) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84)
Related Items (6)
Large time asymptotics for Fermi-Dirac statistics coupled to a Poisson equation ⋮ Diffusive Limit of the Vlasov–Poisson–Fokker–Planck Model: Quantitative and Strong Convergence Results ⋮ Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results ⋮ Sharpening of decay rates in Fourier based hypocoercivity methods
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