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arXiv · 1508.01655

Uniformly rotating analytic global patch solutions for active scalars

Angel Castro·Diego Córdoba·Javier Gómez-Serrano
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Abstract

We show that there exists a family of analytic convex global rotating solutions for the vortex patch equations, bifurcating from ellipses. As a byproduct, the analyticity proof can also be adapted to the rotating patch solutions bifurcating from disks (also known as V-states) for both the Euler and the generalized surface quasi-geostrophic equation.

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Angel Castro, Diego Córdoba, Javier Gómez-Serrano. 2015-08-07. Uniformly rotating analytic global patch solutions for active scalars. https://arxiv.org/abs/1508.01655

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