A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions

DOI10.3934/KRM.2023035zbMATH Open1542.65123MaRDI QIDQ6586959

B. Avelin, Mingyi Hou, Kaj Nyström

Publication date: 13 August 2024

Published in: Kinetic and Related Models (Search for Journal in Brave)

zbMATH Keywords

regularityenergy estimatesweak solutionCauchy problemHermite expansionGalerkin approximationhyperbolic systemkinetic Fokker-Planck operatorBrinkman hierarchy

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fokker-Planck equations (35Q84)

Cites Work

• Title not available (Why is that?)
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• Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field
• Galerkin-Petrov approach for the Boltzmann equation
• Uniqueness of weighted Sobolev spaces with weakly differentiable weights
• The Fokker-Planck equation. Methods of solutions and applications.
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma
• Tunnel effect and symmetries for Kramers–Fokker–Planck type operators
• Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel
• Combined Hermite spectral-finite difference method for the Fokker-Planck equation
• Tunnel Effect for Kramers-Fokker-Planck Type Operators: Return to Equilibrium and Applications
• Hypocoercivity
• Convergence of Moment Methods for Linear Kinetic Equations
• Analysis and Geometry of Markov Diffusion Operators
• Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations
• Stochastic Processes and Applications
• Hypocoercivity for linear kinetic equations conserving mass
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation
• On the kinetic theory of rarefied gases
• On a discrete framework of hypocoercivity for kinetic equations
• On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics

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