ANALYSIS OF A SPHERICAL HARMONICS EXPANSION MODEL OF PLASMA PHYSICS

DOI10.1142/S021820250400343XzbMath1071.82051MaRDI QIDQ5315601

Olaf Hansen, Ansgar Jüngel

Publication date: 9 September 2005

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

zbMATH Keywords

semigroup theoryexistence of global solutionssemiconductorsplasmaslong-time behavior of solutionsspherical harmonics expansion model

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Statistical mechanics of semiconductors (82D37) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• High electric field approximation to charge transport in semiconductor devices
• Diffusion limit of a nonlinear kinetic model without the detailed balance principle
• ELASTIC AND DRIFT–DIFFUSION LIMITS OF ELECTRON–PHONON INTERACTION IN SEMICONDUCTORS
• Macroscopic models for semiconductor heterostructures
• AN INFINITE SYSTEM OF DIFFUSION EQUATIONS ARISING IN TRANSPORT THEORY: THE COUPLED SPHERICAL HARMONICS EXPANSION MODEL
• On spherical harmonics expansion type modelsfor electron–phonon collisions
• On a hierarchy of macroscopic models for semiconductors
• Time Harmonic, Spherical Harmonic, and Power Series Expansion of the Boltzmann Equation
• High field approximations of the spherical harmonics expansion model for semiconductors
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