The kinetic Fokker-Planck equation with weak confinement force

DOI10.4310/CMS.2019.v17.n8.a9zbMath1447.47060arXiv1801.10354OpenAlexW3005134516MaRDI QIDQ2292673

Chuqi Cao

Publication date: 4 February 2020

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10354

zbMATH Keywords

rate of convergenceFokker-Planck equationweak Poincaré inequalityweak confinement forceweak hypocoercivityweak hypodissipativity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Estimates of eigenvalues in context of PDEs (35P15) Applications of operator theory to differential and integral equations (47N20) Fokker-Planck equations (35Q84)

Related Items (8)

On quantitative hypocoercivity estimates based on Harris-type theorems ⋮ Hypocoercivity of linear kinetic equations via Harris's theorem ⋮ Diffusion and kinetic transport with very weak confinement ⋮ Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups ⋮ Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition ⋮ Hypocoercivity and sub-exponential local equilibria ⋮ The kinetic Fokker-Planck equation with general force ⋮ Fractional hypocoercivity

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