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Publications [#9121] of Thomas P. Witelski
search www.ams.org.Papers Published
- Thomas P. Witelski and Andrew J. Bernoff, Stability of self-similar solutions for van der Waals driven thin film rupture,
Physics of Fluids, 11,9, (1999), pp. 2443-2445
[getabs]
(last updated on 1999/11/09)
Abstract: Recent studies of pinch-off of filaments and rupture in thin
films have found infinite sets of first-type similarity
solutions. Of these, the dynamically stable similarity
solutions produce observable rupture behavior as localized,
finite-time singularities in the models
of the flow. In this letter we describe a systematic
technique for calculating such solutions and determining
their linear stability. For
the problem of axisymmetric van der Waals driven rupture
(recently studied by Zhang & Lister), we identify the unique
stable similarity
solution for point rupture of a thin film and an alternative
mode of singularity formation corresponding to annular
``ring rupture.''
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