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

Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 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:	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:	18 Oct 2022 13:13
URI:	https://orca.cardiff.ac.uk/id/eprint/13068

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