The Dynamics of Thin Films I: General Theory

M. P. Ida*, M. J. Miksis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The dynamics of a general three-dimensional thin film subject to van der Waals forces, surface tension, and surfactants is considered. Using an asymptotic analysis based upon the thinness of the film with respect to its lateral extent, evolution equations for the leading-order film thicknesses, tangential velocities, and surfactant concentrations are obtained.

Original languageEnglish (US)
Pages (from-to)456-473
Number of pages18
JournalSIAM Journal on Applied Mathematics
Volume58
Issue number2
DOIs
StatePublished - 1998

Keywords

  • Lamella
  • Matched asymptotic expansion
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics

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