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

Blowey, J. F., King, J. R. and Langdon, S. (2007) Small- and waiting-time behaviour of the thin-film-equation. SIAM Journal on Applied Mathematics (SIAP), 67 (6). pp. 1776-1807. ISSN 0036-1399

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To link to this item DOI: 10.1137/060667682


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. © 2007 Society for Industrial and Applied Mathematics

Item Type:Article
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:926
Uncontrolled Keywords:thin-film, waiting-time, interface, nonlinear degenerate parabolic
Publisher:Society for Industrial and Applied Mathematics


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