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 language||English (US)|
|Number of pages||27|
|Journal||SIAM Journal on Applied Mathematics|
|State||Published - Dec 1 1998|
- Matched asymptotic expansion
ASJC Scopus subject areas
- Applied Mathematics