Diffusion limit for the radiative transfer equation perturbed by a Wiener process

DOI10.3934/krm.2015.8.467zbMath1333.35295arXiv1405.2191OpenAlexW2245540968MaRDI QIDQ888740

Sylvain De Moor, Julien Vovelle, Arnaud Debussche

Publication date: 2 November 2015

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

Full work available at URL: https://arxiv.org/abs/1405.2191

zbMATH Keywords

stochastic partial differential equationsradiative transferkinetic equationsHilbert expansiondiffusion limit

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Radiative transfer in astronomy and astrophysics (85A25) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (5)

Regularity of velocity averages for transport equations on random discrete velocity grids ⋮ On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions ⋮ Diffusion limit for the radiative transfer equation perturbed by a Markovian process ⋮ Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit ⋮ Existence of martingale solutions for stochastic flocking models with local alignment

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