Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space

DOI10.1007/s00205-019-01442-0zbMath1481.76185arXiv1805.04903OpenAlexW3103643488WikidataQ127396732 ScholiaQ127396732MaRDI QIDQ2296929

Marjolaine Puel, Antoine Mellet, Ludovic Cesbron

Publication date: 18 February 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04903

zbMATH Keywords

fractional diffusion approximationlong-time asymptotic solutionnonlocal Neumann boundary conditionsmall Knudsen number singular limit

Mathematics Subject Classification ID

Diffusion (76R50) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fractional derivatives and integrals (26A33)

Related Items (4)

Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval ⋮ On a structure-preserving numerical method for fractional Fokker-Planck equations ⋮ Quantitative fluid approximation in transport theory: a unified approach ⋮ Fractional diffusion limit for a kinetic equation with an interface

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