Título:
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Singularity formation in the one-dimensional supercooled Stefan problem
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Autores:
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Herrero, Miguel A. ;
Velázquez, J.J. L.
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 1996-04
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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It is well-known that solutions to the one-dimensional supercooled Stefan problem (SSP) may exhibit blow-up in finite time. If we consider (SSP) in a half-line with zero flux conditions at t = 0, blow-up occurs if there exists T 0 and lim inft?T(t) = – ?,s(t) being the interface of the problem under consideration. In this paper, we derive the asymptotics of solutions and interfaces near blow-up. We shall also use these results to discuss the possible continuation of solutions beyond blow-up.
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