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A Stefan problem with surface tension as the sharp interface limit of a nonlocal system of phase-field type

Dirr, Nicolas 2004. A Stefan problem with surface tension as the sharp interface limit of a nonlocal system of phase-field type. Journal of statistical physics 114 (3-4) , pp. 1085-1113. 10.1023/B:JOSS.0000012517.33719.9f

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Abstract

A model for the evolution of phase boundaries reminiscent of the phase-field model is considered. The equation related to conservation of thermal energy is diffusive and coupled to an equation for the order parameter, which contains a nonlinear convolution operator, related to the limit of an interacting particle model with Kac-potential. Under diffusive rescaling the solutions converge to solutions of the Stefan problem with kinetic undercooling and surface tension

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Stefan problem with surface tension; Sharp interface limit; Kac-potential; Nonlocal phase-field system.
Publisher: Springer
Last Modified: 04 Jun 2017 02:52
URI: http://orca.cf.ac.uk/id/eprint/13068

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