| Abstract: |
| In 1879 Rayleigh studied the stability of infinite cylindrical jets,
inspired by the experiments of Plateau. The principal question that
Rayleigh asked is: under what circumstances the jet is stable, for small displacements.
In this talk I will discuss the short time stability for the initial condition belonging to some Sobolev space,
and the initial jet boundary being uniformly bounded away from the axis of symmetry.
This is proved by the method of paradifferential calculus and paralinearization.
The salient feature of these results is that no smallness assumption is imposed on the
initial condition. The results are taken from a joint paper with Dr Yucong Huang. |
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