期刊
JOURNAL OF MATHEMATICAL CHEMISTRY
卷 57, 期 9, 页码 2075-2081出版社
SPRINGER
DOI: 10.1007/s10910-019-01063-8
关键词
Variational theory; Special function; Trial-functional; Nanoscale adhesion; Coating; Wetting
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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