Sharp-interface limit of the Allen-Cahn action functional in one space dimension
β Scribed by Robert V. Kohn; Maria G. Reznikoff; Yoshihiro Tonegawa
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 686 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0944-2669
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π SIMILAR VOLUMES
A finite-difference formulation is applied to track solid-liquid boundaries on a fixed underlying grid. The interface is not of finite thickness but is treated as a discontinuity and is explicitly tracked. The imposition of boundary conditions exactly on a sharp interface that passes through the Car
dedicated to professor leonard gross on the occasion of his 70th birthday Functions of bounded variation (BV functions) are defined on an abstract Wiener space (E, H, +) in a way similar to that in finite dimensions. Some characterizations are given, which justify describing a BV function as a funct