Existence of classical solutions of the multidimensional Stefan problem on a finite interval
β Scribed by M. A. Borodin
- Book ID
- 112473164
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 358 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
## Communicated by H. Neunzert We prove existence, in a small time interval, of a classical solution having a regular free boundary, (i.e. the level set +u"0,) of a multidimensional filtration problem. The key point to get the regularity of the level set +u"0, is the proof of an a priori estimate
In this paper, variable space grid and boundary Immobilisation Techniques based on the explicit finite difference are applied to the one-phase classical Stefan problem. It is shown that all the results obtained by the two methods are in good agreement with the exact solution, and exhibit the expecte