Publications [#10321] of Thomas P. Witelski
- 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.
(last updated on 2003/02/27)
Finite-time singularities occuring in mathematical models
of free-surface flows indicate that important qualitative
taking place; for problems in solid and fluid mechanics
this includes topological transitions -- blow-up, and
For many problems, the dynamics leading to the formation of
are described by self-similar solutions of the governing
We present an analytical and numerical study of these
solutions and discuss their stability.