Surface tension, higher order phase field equations, dimensional analysis and Clairaut’s equation

A higher order phase field free energy leads to higher order differential equations. The surface tension involves L<sup>2</sup> norms of higher order derivatives. An analysis of dimensionless variables shows that the surface tension satisfies a Clairaut’s equation in terms of the coeffci...

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Bibliographic Details
Main Author: Gunduz Caginalp
Format: Article
Language:English
Published: AIMS Press 2017-03-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/10.3934/Math.2017.2.207/fulltext.html