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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Format: | Article |
Language: | English |
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AIMS Press
2017-03-01
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Series: | AIMS Mathematics |
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Online Access: | http://www.aimspress.com/article/10.3934/Math.2017.2.207/fulltext.html |