AN INFINITE SYSTEM OF DIFFUSION EQUATIONS ARISING IN TRANSPORT THEORY: THE COUPLED SPHERICAL HARMONICS EXPANSION MODEL

DOI10.1142/S0218202501001173zbMath1012.82018WikidataQ128028592 ScholiaQ128028592MaRDI QIDQ4798893

Pierre Degond

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

diffusion approximationBoltzmann equationspherical harmonics expansion

Mathematics Subject Classification ID

Related Items (10)

On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models ⋮ ON FAST AND SLOW TIMES IN MODELS WITH DIFFUSION ⋮ GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS ⋮ ANALYSIS OF A SPHERICAL HARMONICS EXPANSION MODEL OF PLASMA PHYSICS ⋮ A COUPLED SPHERICAL HARMONICS EXPANSION MODEL FOR CONFINED PARTICLES ⋮ Discrete version of the SHE asymptotics: multigroup neutron transport equations ⋮ Homogenization of a spherical harmonics expansion model ⋮ Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations. ⋮ Numerical comparison between two spherical harmonics expansion models and a kinetic equation ⋮ Four dimensional Fokker-Planck solver for electron kinetics in collisional gas discharge plasmas

Cites Work

• High electric field approximation to charge transport in semiconductor devices
• Macroscopic models for ionization in the presence of strong electric fields
• A Model of Near-Wall Conductivity and Its Application to Plasma Thrusters
• Electron transport in stationary plasma thrusters
• ELASTIC AND DRIFT–DIFFUSION LIMITS OF ELECTRON–PHONON INTERACTION IN SEMICONDUCTORS
• On a diffusion-kinetic equation arising in extended kinetic theory
• On a hierarchy of macroscopic models for semiconductors

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