On fluid limit for the semiconductors Boltzmann equation

DOI10.1016/S0022-0396(02)00096-7zbMath1013.82024OpenAlexW2133010668MaRDI QIDQ1868899

Antoine Mellet, Thierry Goudon

Publication date: 28 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00096-7

zbMATH Keywords

Chapman-Enskog expansionhydrodynamic limitPauli principleHilbert expansiondetailed balance principlesemiconductors Boltzmann equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of semiconductors (82D37) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (7)

Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation ⋮ Numerical schemes of diffusion asymptotics and moment closures for kinetic equations ⋮ Diffusive semiconductor moment equations using Fermi-Dirac statistics ⋮ Convergence to the equilibrium for the Pauli equation without detailed balance condition ⋮ \(L^1\) contraction property for a Boltzmann equation with Pauli statistics ⋮ On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process ⋮ Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation

Cites Work

• Diffusion limit of a nonlinear kinetic model without the detailed balance principle
• Linear and quasilinear elliptic equations
• Solutions d'équilibre pour l'opérateur de Pauli
• Diffusion Approximation and Computation of the Critical Size
• Compactness Criteria for Integral Operators in L ∞ and L 1 Spaces
• On a System of Nonlinear Boltzmann Equations of Semiconductor Physics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On fluid limit for the semiconductors Boltzmann equation