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.
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.
|Keywords:||Thin-film, Waiting-time, Interface, Nonlinear degenerate parabolic.|
|Full text:||(VoR) Version of Record|
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|Publisher Web site:||http://dx.doi.org/10.1137/060667682|
|Publisher statement:||©2007 Society for Industrial and Applied Mathematics|
|Date accepted:||No date available|
|Date deposited:||29 August 2008|
|Date of first online publication:||October 2007|
|Date first made open access:||No date available|
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