Anomalous diffusion limit of kinetic equations in spatially bounded domains

DOI10.1007/s00220-018-3158-0zbMath1404.82048arXiv1611.06372OpenAlexW2964300733WikidataQ129652991 ScholiaQ129652991MaRDI QIDQ1799459

Ludovic Cesbron

Publication date: 18 October 2018

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

Full work available at URL: https://arxiv.org/abs/1611.06372

zbMATH Keywords

Dirichlet conditionsanomalous diffusionkinetic equationsfractional diffusionnon-local diffusion operatorFokker-Planck collision operatorboundary interaction

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Vlasov equations (35Q83) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (7)

Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval ⋮ Quantitative fluid approximation in transport theory: a unified approach ⋮ Fractional diffusion limit for a kinetic equation with an interface ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017 ⋮ Fractional Patlak--Keller--Segel Equations for Chemotactic Superdiffusion ⋮ Fractional diffusion limit of a linear kinetic equation in a bounded domain ⋮ Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space

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