The dynamics of thin films II: Applications

M. P. Ida*, Michael J Miksis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

A system of equations for the dynamics of a general three-dimensional thin film subject to van der Waals forces, surface tension, and surfactants was derived in Part I of this work [M. P. Ida and M. J. Miksis, SIAM J. Appl. Math., 58 (1998), pp. 456-473]. Here we apply these equations to free films with various geometries. A linear and near-linear stability analysis and numerical simulations are done to the specialized equations.

Original languageEnglish (US)
Pages (from-to)474-500
Number of pages27
JournalSIAM Journal on Applied Mathematics
Volume58
Issue number2
StatePublished - Dec 1 1998

Keywords

  • Lamella
  • Matched asymptotic expansion
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics

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