Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer

DOI10.1006/jmaa.1996.5164zbMath0879.35146OpenAlexW2092055779WikidataQ72545568 ScholiaQ72545568MaRDI QIDQ1353826

Jacek Banasiak

Publication date: 29 April 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5164

zbMATH Keywords

diffusion equationlinear Boltzmann equationhydrodynamic approximation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Motion of charged particles (78A35)

Related Items (7)

MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY ⋮ Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system ⋮ Asymptotic analysis of the linear Boltzmann equation with and without an external field: Comparison of various approaches ⋮ Algae‐Light Interaction: Study Of An Approximated Model And Asymptotic Analysis ⋮ Challenges in the Numerical Solution for Models in Transport Theory ⋮ Diffusive corrections to asymptotics of a strong-field quantum transport equation ⋮ Spectral theorems of voigt type for linear Boltzmann equation with external field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-parameter semigroups of positive operators
• The Cauchy problem for the linear Maxwell-Boltzmann equation
• On Positive Contractions In L p -Spaces
• Existence of solutions and diffusion approximation for a model Fokker-Planck equation
• Conditions for runaway phenomena in the kinetic theory of particle swarms
• New asymptotic expansion algorithm for singularly perturbed evolution equations
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• ASYMPTOTIC ANALYSIS OF THE FOKKER-PLANCK EQUATION RELATED TO BROWNIAN MOTION
• Diffusion limit for the linear boltzmann equation of the neutron transport theory
• Diffusion Approximation and Computation of the Critical Size
• ASYMPTOTIC ANALYSIS OF A MODEL KINETIC EQUATION
• Asymptotic Analysis of Abstract Linear Kinetic Equations

This page was built for publication: Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer