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On the diffusion approximation of a transport process without time scaling

Article type: Research Article

Authors: Ringeisen, E. | Sentis, R.

Affiliations: CEA/Limeil-Valenton, 94195 Villeneuve Saint Georges Cédex, France

Abstract: We are concerned with the asymptotic behaviour of the linear transport equation ∂tu+ω▿u+(1/ε)Qu=0, u|t=0=f, when ε→0. We prove that this process is equivalent up to order 1 to the viscosity perturbation of a hyperbolic process, provided that the conservative collision operator Q(x) has a 1-dimensional null-space. This can be considered as a justification of the diffusion approximation the classical scaling of the t or x variable.

DOI: 10.3233/ASY-1991-5204

Journal: Asymptotic Analysis, vol. 5, no. 2, pp. 145-159, 1991

Received 4 June 1990
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Published: 1991
Price: EUR 27.50
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