Small- and waiting-time behavior of the thin-film equation.
- Blowey, J. F.
- King, J. R.
- Langdon, S.
Publication date
October 2007
DOI Publisher
Society for Industrial & Applied Mathematics (SIAM) ISSN
0036-1399 Journal
SIAM Journal on Applied Mathematics Language
English Citation count (estimate)
11Abstract
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
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