Contraction in the Wasserstein metric for the kinetic Fokker-Planck equation on the torus
DOI10.3934/krm.2018056zbMath1405.60122arXiv1506.06173OpenAlexW2808146807WikidataQ129696242 ScholiaQ129696242MaRDI QIDQ1715985
Josephine Evans, Thomas Holding, Helge Dietert
Publication date: 29 January 2019
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06173
Fokker-Planck equationtorusconvergence to equilibriumhypocoercivityco-adapted couplingsMonge-Kantorovich-Wasserstein \(\mathcal{W}_2\) distance
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)
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