The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation

DOI10.1016/J.AML.2015.10.003zbMath1382.82033arXiv1508.02462OpenAlexW1930404173MaRDI QIDQ899401

Richard Vasques

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02462

zbMATH Keywords

diffusionintegral equationBoltzmann equationnonclassical transport

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Boltzmann equations (35Q20)

Related Items (5)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ On the application of the analytical discrete ordinates method to the solution of nonclassical transport problems in slab geometry ⋮ Fractional radiative transport in the diffusion approximation ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry ⋮ Exact Transport Representations of the Classical and Nonclassical Simplified P_N Equations

Cites Work

• On a generalized Boltzmann equation for non-classical particle transport
• The Boltzmann-Grad limit of the periodic Lorentz gas
• Recent Results on the Periodic Lorentz Gas
• Theoretical Aspects of the SimplifiedP_nEquations
• Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals
• The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation

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