On global existence and trend to the equilibrium for the Vlasov-Poisson-Fokker-Planck system with exterior confining potential
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Publication:2630797
DOI10.1016/j.jfa.2016.04.030zbMath1347.35221arXiv1505.01698OpenAlexW2964281471MaRDI QIDQ2630797
Laurent Thomann, Frederic Hérau
Publication date: 22 July 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.01698
Asymptotic behavior of solutions to PDEs (35B40) Vlasov equations (35Q83) Maxwell equations (35Q61) Fokker-Planck equations (35Q84)
Related Items (16)
Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes ⋮ Global existence and long-time behavior of solutions to the Vlasov-Poisson-Fokker-Planck system ⋮ Trend to the equilibrium for the Fokker-Planck system with an external magnetic field ⋮ Damping of particles interacting with a vibrating medium ⋮ The resolvent of the linearized Boltzmann operator with a stationary potential ⋮ Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime ⋮ 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 ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Invariant measures for a stochastic Fokker-Planck equation ⋮ Exact splitting methods for kinetic and Schrödinger equations ⋮ Compactness of the resolvent for the Witten Laplacian ⋮ Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit ⋮ A splitting Fourier pseudospectral method for Vlasov-Poisson-Fokker-Planck system ⋮ \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system ⋮ Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations
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