From Boltzmann equation to spherical harmonics expansion model: diffusion limit and Poisson coupling

DOI10.4310/CMS.2011.v9.n1.a12zbMath1280.35083OpenAlexW2319098182MaRDI QIDQ390242

Mohamed Lazhar Tayeb

Publication date: 22 January 2014

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

Full work available at URL: http://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0009/0001/a012/index.html

zbMATH Keywords

relative entropymacroscopic limitHilbert expansiondiffusion limitBoltzmann-Poisson systemelectron-impurity collisionkinetic transport equationsspherical harmonics expansion (SHE) model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Entropy in general topology (54C70) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)

Related Items (3)

Hybrid coupling of a one-dimensional energy-transport Schrödinger system ⋮ Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation ⋮ Homogenization of a spherical harmonics expansion model

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