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Cusp formation for the undercooled Stefan problem in two and three dimensions

Published online by Cambridge University Press:  01 February 1997

JUAN J. L. VELÁZQUEZ
JUAN J. L. VELÁZQUEZ
Affiliation:
Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain
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Abstract

We consider in this paper the classical one-phase Stefan problem in dimensions two and three in the undercooled situation. By means of matched asymptotic expansions, a mechanism of cusp formation is presented for interfaces that are initially smooth.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 1 , February 1997 , pp. 1 - 21
Copyright
1997 Cambridge University Press

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