Diffusion approximations to the dependability of a transport system
✍ Scribed by V.S.S. Yadavalli; N. Singh
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 297 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0026-2714
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It is well known that the classical two-phase Stefan problem, which is an orderpreserving system, can be regarded as a singular limit of a phase field model. However the rigorous analysis of the phase field model is not easy, because it is not an order-preserving system and also is strongly coupled.
stable relaxation approximation for a transport equation with the diffusive scaling is developed. The relaxation approximation leads in the small mean free path limit to the higher-order diffusion equation obtained from the asymptotic analysis of the transport equation.