Challenges in the Numerical Solution for Models in Transport Theory

DOI10.1080/00411450701456717zbMath1147.82356OpenAlexW2066964739WikidataQ70722202 ScholiaQ70722202MaRDI QIDQ5758144

Jan M. Kozakiewicz, Jacek Banasiak, Nabendra Parumasur

Publication date: 3 September 2007

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450701456717

zbMATH Keywords

singular perturbationdrift-diffusion approximationcompressed asymptotic limitlinear Boltzmann equation with external field

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70)

Uses Software

• Matlab

Cites Work

• The Boltzmann equation and its applications
• Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer
• Diffusion Approximation of Linear Kinetic Equations with Non‐equilibrium Data—Computational Experiments
• New asymptotic expansion algorithm for singularly perturbed evolution equations
• Asymptotic analysis for a particle transport problem in a moving medium
• 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
• INTERPLAY OF ELASTIC AND INELASTIC SCATTERING OPERATORS IN EXTENDED KINETIC MODELS AND THEIR HYDRODYNAMIC LIMITS: REFERENCE MANUAL
• Asymptotic Analysis of Abstract Linear Kinetic Equations

This page was built for publication: Challenges in the Numerical Solution for Models in Transport Theory