arXiv 1102.12502011-02-07math-phmath.MP

A mathematical model for phase separation: A generalized Cahn-Hilliard equation

Alessia Berti, Ivana Bochicchio

备注：: 9 pages, 1 figure, Published online in Wiley Online Library
发表信息：: Mathematical Methods in the Applied Science, 2011
DOI：: 10.1002/mma.1432

英文摘要：

In this paper we present a mathematical model to describe the phenomenon of phase separation, which is modelled as space regions where an order parameter changes smoothly. The model proposed, including thermal and mixing effects, is deduced for an incompressible fluid, so the resulting differential system couples a generalized Cahn-Hilliard equation with the Navier-Stokes equation. Its consistency with the second law of thermodynamics in the classical Clausius-Duhem form is finally proved.

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