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

Computers and Mathematics with Applications

Volumn 42, Issue 6-7, 2001, Pages 783-791

  Dogbe, C ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Diffusion approximation; Monotonicity and compactness methods; Radiative transfer equation

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SET THEORY; TRANSFER FUNCTIONS;

DIFFUSION APPROXIMATION; NONLINEAR ANGULAR DIFFUSION EQUATION; PLANK FUNCTION; RADIATIVE TRANSFER FUNCTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0035452055     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00198-5     Document Type: Article

References (9)

1. Influence de la troncature de l'opacité au voisinage de ν = 0 en relaxation rayonnement-matière
2. Asymptotic analysis of radiative transfer problem
3. Diffusion approximation and computation of the critical size
4. The nonaccretive radiative transfer equations. Existence of solutions and Rosseland approximation
5. The Rosseland approximation for radiative transfer equations
6. Generation of semigroup of non-linear transformations general Banach space
7. Generalized solutions of radiative transfer equations in singular case
8. Regularity of the moments of the solution of a transport equation
9. Applications of accretive operator theory to radiative transfer equations