Quarterly of Applied Mathematics

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Existence and asymptotic analysis of a phase field model for supercooling

Author(s): Olaf Klein; Fabio Luterotti; Riccarda Rossi
Journal: Quart. Appl. Math. 64 (2006), 291-319.
MSC (2000): Primary 80A22; Secondary 28A33, 35K55
Posted: May 2, 2006
MathSciNet review: 2243865
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Abstract: We prove an existence result for an initial-boundary value problem which models a perturbation of a phase transition phenomenon with supercooling effects. When the perturbation parameter goes to 0, an asymptotic analysis is performed. It leads to an existence result, in the framework of Young measures, for a slight modification of the original problem.

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