Both one-dimensional two-phase Stefan problem with the thermodynamic equilibrium condition uðRðtÞ; tÞ ¼ 0 and with the kinetic rule u e ðR e ðtÞ; tÞ ¼ eR 0 e ðtÞ at the moving boundary are considered. We prove, when e approaches zero, R e ðtÞ converges to RðtÞ in C 1þd=2 ½0; T for any finite T > 0;
✦ LIBER ✦
Continuity of the temperature in the two-phase Stefan problem
✍ Scribed by L. A. Caffarelli; L. C. Evans
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 754 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-9527
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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.