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| Publications [#10321] of Thomas P. Witelski
search www.ams.org.Papers Published
- Thomas P. Witelski, Computing finite-time singularities in interfacial flows,
Modern Methods in Scientific Computing and Applications (NATO ASI series II proceedings, volume 75), 2002, pp. 451-487.
[1-4020-0782-5]
(last updated on 2003/02/27)
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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