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

12 Scopus citations


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
Issue number2
StatePublished - 1998


  • Lamella
  • Matched asymptotic expansion
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics


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