A Corrector Theory for Diffusion-Homogenization Limits of Linear Transport Equations

DOI10.1137/110857301zbMath1262.35018arXiv1201.4424OpenAlexW2163080347MaRDI QIDQ4907733

Guillaume Bal, Marjolaine Puel, Naoufel Ben Abdallah

Publication date: 22 February 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4424

zbMATH Keywords

diffusion approximationkinetic equationfirst-order correctortwo-scale limits

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boltzmann equations (35Q20)

Related Items (2)

Simultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation ⋮ Homogenization of the boundary value for the Neumann problem

This page was built for publication: A Corrector Theory for Diffusion-Homogenization Limits of Linear Transport Equations