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

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

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.
• Public URL: https://durham-repository.worktribe.com/output/1533377
• Publisher URL: http://link.aip.org/link/?SMM/67/1776