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

DOI10.3233/ASY-161360zbMath1344.35148arXiv1405.2192OpenAlexW2261865014MaRDI QIDQ2816232

Julien Vovelle, Sylvain De Moor, Arnaud Debussche

Publication date: 4 July 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2192

zbMATH Keywords

stochastic partial differential equationsradiative transferkinetic equationsnon-lineardiffusion limitRosseland approximationperturbed test functions

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) 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 Wiener process ⋮ Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process ⋮ Diffusion-approximation for a kinetic spray-like system with random forcing

Cites Work

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• A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers
• Diffusion limit for a stochastic kinetic problem
• The rosseland approximation for the radiative transfer equations
• A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type

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