| 演題 |
Analyticity and instabilities of Kelvin Helmholtz and Rayleigh Taylor problems |
| 講演者 |
Prof. Claude Bardos (Laboratoire Jacques-Louis Lions and University Denis Diderot, Paris, France) |
| 要旨 |
Instabilities of interfaces described by Kelvin Helmholtz and Rayleigh Taylor problems is a classical issue observed both by real and numerical experiments. In the mean time it is only recently with the contributions of Wu, Lebeau and Kamoski that a mathematical explanation has been given. The clue is that with the formation of an interface the Euler equation become elliptic and therefore the solution if they exist are analytic. Since the problems are time reversible one can use this observation to prove that even when starting with analytical initial data almost any type of singularity may appear. |
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