On a generalized Boltzmann equation for non-classical particle transport

DOI10.3934/KRM.2010.3.395zbMath1219.35166OpenAlexW2073901367MaRDI QIDQ545881

Martin Frank, Thierry Goudon

Publication date: 23 June 2011

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2010.3.395

zbMATH Keywords

radiative transfertransport equationsdiffusion asymptotics

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Transport processes in time-dependent statistical mechanics (82C70) Boltzmann equations (35Q20)

Related Items (10)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ Generalized linear Boltzmann equation, describing non-classical particle transport, and related asymptotic solutions for small mean free paths ⋮ Motility switching and front-back synchronisation in polarised cells ⋮ On the application of the analytical discrete ordinates method to the solution of nonclassical transport problems in slab geometry ⋮ The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation ⋮ Fractional diffusion limits of non-classical transport equations ⋮ A spectral approach for solving the nonclassical transport equation ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry ⋮ Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds ⋮ The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation

This page was built for publication: On a generalized Boltzmann equation for non-classical particle transport