Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
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Publication:4645518
zbMath1408.35189arXiv1710.05588MaRDI QIDQ4645518
Publication date: 10 January 2019
Full work available at URL: https://arxiv.org/abs/1710.05588
Asymptotic behavior of solutions to PDEs (35B40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items (16)
Hypocoercivity with Schur complements ⋮ On a structure-preserving numerical method for fractional Fokker-Planck equations ⋮ Regularization estimates and hydrodynamical limit for the Landau equation ⋮ Trend to the equilibrium for the Fokker-Planck system with an external magnetic field ⋮ On a discrete framework of hypocoercivity for kinetic equations ⋮ Diffusive Limit of the Vlasov–Poisson–Fokker–Planck Model: Quantitative and Strong Convergence Results ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics ⋮ Unnamed Item ⋮ Scaling limits for the generalized Langevin equation ⋮ The kinetic Fokker-Planck equation with mean field interaction ⋮ Fokker-Plank system for movement of micro-organism population in confined environment ⋮ Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations ⋮ Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations ⋮ A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium ⋮ Semigroup decay for the linearized kinetic ellipsoidal Fokker-Planck equation
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