Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 57, Issue 9, Pages 2075-2081Publisher
SPRINGER
DOI: 10.1007/s10910-019-01063-8
Keywords
Variational theory; Special function; Trial-functional; Nanoscale adhesion; Coating; Wetting
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Thin film arises in various applications from electrochemistry to nano devices, many mathematical tools were adopted to study the problem, e.g. Lie symmetries and conservation laws, however, the variational approach is rare. This paper shows that the semi-inverse method is an effective approach to establishment of a variational formulation for the thin film equation. A detailed derivation process is given, a special skill for construction of a heuristic trial-functional is elucidated.
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