The radiative transfer equations: Diffusion approximation under accretiveness and compactness assumptions

DOI10.1016/S0898-1221(01)00198-5zbMath0980.35064MaRDI QIDQ5948839

Christian Dogbe

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

monotonicity and compactness methodsnonlinear angular diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (1)

Relativistic transfer equations: comparison principle and convergence to the non-equilibrium regime

Cites Work

• Regularity of the moments of the solution of a transport equation
• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• Generalized solutions of the radiative transfer equations in a singular case
• Application of Accretive Operators Theory to the Radiative Transfer Equations
• The rosseland approximation for the radiative transfer equations
• Diffusion Approximation and Computation of the Critical Size
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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