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Abstract:
In this talk, we present characterizations of nonlinear dynamics near unstable
vortex sheets with surface tension (Kelvin-Helmholtz and Rayleigh-Taylor
instabilities), as well as near unstable Kirchhoff ellipses. We demonstrate that
such nonlinear dynamics is governed by the correspondingleading linear growing
mode(s) for general perturbations, within the time scale for which the
instabilities occur.
[LECTURE SLIDES]
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