Papers Published
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.