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| Publications [#244187] of Thomas P. Witelski
search www.ams.org.Papers Published
- Witelski, TP, Computing finite-time singularities in interfacial flows, edited by Bourlioux, A; Gander, MJ; Sabidussi, G,
MODERN METHODS IN SCIENTIFIC COMPUTING AND APPLICATIONS, vol. 75
(January, 2002),
pp. 451-487, SPRINGER, ISSN 1568-2609, ISBN 1-4020-0782-5 [Gateway.cgi]
(last updated on 2026/01/19)
Abstract:
Finite-time singularities occuring in mathematical models
of free-surface flows indicate that important qualitative
changes are
taking place; for problems in solid and fluid mechanics
this includes topological transitions -- blow-up, and
pinch-off.
For many problems, the dynamics leading to the formation of
such singularities
are described by self-similar solutions of the governing
nonlinear partial
differential equations.
We present an analytical and numerical study of these
similarity
solutions and discuss their stability.
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