BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

The $L^2$ exponential map in 2D and 3D hydrodynamics Misiolek, Gerard

Description

In the 1960's V. Arnold showed how solutions of the incompressible Euler equations can be viewed as geodesics on the group of diffeomorphisms of the fluid domain equipped with a metric given by fluid's kinetic energy. The study of the exponential map of this metric is of particular interest and I will describe recent results concerning its properties as well as some necessary background.

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Attribution-NonCommercial-NoDerivatives 4.0 International