Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting
type: Item
instance of: scholarly article
title: Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting
zbMATH Open document ID: 1483.35264
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2022-01-07T00:00:00Z
Mathematics Subject Classification ID: 35Q81
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 81V74
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7453394
zbMATH Keywords: semiconductors
zbMATH Keywords: Boltzmann-Poisson
zbMATH Keywords: Fermi-Dirac statistics
zbMATH Keywords: hydrodynamic limit
zbMATH Keywords: quantum effects
zbMATH Keywords: entropy-dissipation
author: Nader Masmoudi
author: Mohamed Lazhar Tayeb
MaRDI profile type: Publication
full work available at URL: j.matpur.2021.08.005
OpenAlex ID: W3193722846
cites work: Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
cites work: Weak solutions of the initial‐boundary value problem for the Vlasov–Poisson system
cites work: THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES
cites work: On the convergence of the Boltzmann equation for semiconductors toward the energy transport model
cites work: Relative entropies for kinetic equations in bounded domains (irreversibility, stationary solutions, uniqueness)
cites work: Convergence to the equilibrium for the Pauli equation without detailed balance condition
cites work: Diffusion approximation for the one-dimensional Boltzmann-Poisson system
cites work: Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation
cites work: Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states)
cites work: Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
cites work: Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels
cites work: Q4031474
cites work: Diffusion approximation of nonlinear electron phonon collision mechanisms
cites work: Diffusion Limit of a Semiconductor Boltzmann–Poisson System
cites work: DIFFUSION AND HOMOGENIZATION APPROXIMATION FOR SEMICONDUCTOR BOLTZMANN–POISSON SYSTEM
cites work: On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process
cites work: Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation
cites work: Charge transport in semiconductors with degeneracy effects
DOI: 10.1016/J.MATPUR.2021.08.005
description: scientific article; zbMATH DE number 7453394