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

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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