Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation

DOI10.1137/040611227zbMath1093.35009OpenAlexW2053425634MaRDI QIDQ5695954

Mohamed Lazhar Tayeb, Naoufel Ben Abdallah

Publication date: 6 October 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fed03ba4849f9fc8becf206ff1e76790564a3243

zbMATH Keywords

relative entropytwo-scale convergencedrift-diffusion equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20) Statistical mechanics of semiconductors (82D37) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (13)

GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION ⋮ Homogenized diffusion limit of a Vlasov-Poisson-Fokker-Planck model ⋮ Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation ⋮ Simultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation ⋮ Diffusive semiconductor moment equations using Fermi-Dirac statistics ⋮ Homogenization of a spherical harmonics expansion model ⋮ DIFFUSION AND HOMOGENIZATION APPROXIMATION FOR SEMICONDUCTOR BOLTZMANN–POISSON SYSTEM ⋮ Weak turbulence plasma induced by two-scale homogenization ⋮ Homogenization of linear Boltzmann equations in the context of algebras with mean value ⋮ Diffusion regime with a high and oscillating field ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting ⋮ Homogenization and diffusion approximation of the Vlasov–Poisson–Fokker–Planck system: A relative entropy approach ⋮ Homogenization of Boundary Layers in the Boltzmann--Poisson System

This page was built for publication: Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation