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- W2601202843 abstract "A higher order phase field free energy leads to higher order differential equations. The surface tension involves L 2 norms of higher order derivatives. An analysis of dimensionless variables shows that the surface tension satisfies a Clairaut’s equation in terms of the coeffcients of the higher order phase field equations. The Clairaut’s equation can be solved by characteristics on a suitable surface in the R N space of coeffcients. This perspective may also be regarded as interpreting dimensional analysis through Clairaut’s equation. The surface tension is shown to be a homogeneous function of monomials of the coeffcients." @default.
- W2601202843 created "2017-04-07" @default.
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- W2601202843 date "2017-01-01" @default.
- W2601202843 modified "2023-09-24" @default.
- W2601202843 title "Surface tension, higher order phase field equations, dimensional analysis and Clairaut’s equation" @default.
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- W2601202843 doi "https://doi.org/10.3934/math.2017.2.207" @default.
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