Blowey, J. F. and King, J. R. and Langdon, S. (2007) 'Small- and waiting-time behavior of the thin-film equation.', SIAM journal on applied mathematics., 67 (6). pp. 1776-1807.
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.
| Item Type: | Article |
|---|---|
| Keywords: | Thin-film, Waiting-time, Interface, Nonlinear degenerate parabolic. |
| Full text: | PDF - Published Version (968Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1137/060667682 |
| Publisher statement: | ©2007 Society for Industrial and Applied Mathematics |
| Record Created: | 29 Aug 2008 |
| Last Modified: | 09 Sep 2011 16:49 |
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