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Stability of some exact solutions of incompressible Euler equations

Mar 10, 2021

Stability of some exact solutions of incompressible Euler equations

Kyudong Choi, Ulsan National Institute of Science and Technology

 

Abstract:

We visit results on stability of explicit vortex solutions of the incompressible Euler equations including circular vortex patches, Lamb’s dipoles, and Hill’s spherical vortices. They are solutions minimizing certain energy under natural constraints so that their stability comes from calculus of variations. This talk is based on joint works with K. Abe(Osaka City Univ.) and with D. Lim(UNIST).

 

Recorded video for the talk (click)

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