Dynamics of high-energy Beltrami fields

Dynamics of high-energy Beltrami fields

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Francisco Torres de Lizaur, University of Toronto

Zoom link: https://princeton.zoom.us/j/9148065146

Beltrami fields on a 3-dimensional compact manifold are eigenfields of the curl operator. They describe a stationary ideal fluid whose vorticity and velocity are aligned. In this talk I will show that Beltrami fields on the torus and the sphere have an interesting property, which we call inverse localization, that can be used to construct fields with prescribed dynamics at small scales.

This is joint work with Alberto Enciso and Daniel Peralta-Salas.