THE DYNAMICS OF THIN-FILMS II - APPLICATIONS

Authors
IDA MP MIKSIS MJ
Citation
Mp. Ida et Mj. Miksis, THE DYNAMICS OF THIN-FILMS II - APPLICATIONS, SIAM journal on applied mathematics, 58(2), 1998, pp. 474-500
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
58
Issue
2
Year of publication
1998
Pages
474 - 500
Database
ISI
SICI code
0036-1399(1998)58:2<474:TDOTI->2.0.ZU;2-Q
Abstract
A system of equations for the dynamics of a general three-dimensional thin film subject to van der Waals forces, surface tension, and surfac tants 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 equa tions to free films with various geometries. A linear and near-linear stability analysis and numerical simulations are done to the specializ ed equations.