Small- and waiting-time behavior of the thin-film equation

Blowey, J.F.; King, J.R.; Langdon, S.

doi:10.1137/060667682

Small- and waiting-time behavior of the thin-film equation

Blowey, J.F.; King, J.R.; Langdon, S.

Authors

Professor James Blowey j.f.blowey@durham.ac.uk
Deputy Exec Dean & Dir Of Natural Scs

J.R. King

S. Langdon

Abstract

We consider the small-time behavior of interfaces of zero contact angle solutions to the thin-film equation. For a certain class of initial data, through asymptotic analyses, we deduce a wide variety of behavior for the free boundary point. These are supported by extensive numerical simulations.

Citation

Blowey, J., King, J., & Langdon, S. (2007). Small- and waiting-time behavior of the thin-film equation. SIAM Journal on Applied Mathematics, 67(6), 1776-1807. https://doi.org/10.1137/060667682

Journal Article Type	Article
Publication Date	Oct 1, 2007
Deposit Date	Aug 29, 2008
Publicly Available Date	Aug 29, 2008
Journal	SIAM Journal on Applied Mathematics
Print ISSN	0036-1399
Electronic ISSN	1095-712X
Publisher	Society for Industrial and Applied Mathematics
Peer Reviewed	Peer Reviewed
Volume	67
Issue	6
Pages	1776-1807
DOI	https://doi.org/10.1137/060667682
Keywords	Thin-film, Waiting-time, Interface, Nonlinear degenerate parabolic.
Publisher URL	http://link.aip.org/link/?SMM/67/1776