Uniformly rotating analytic global patch solutions for active scalars
Analysis of PDEs
2015-08-24 v2
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.
Keywords
Cite
@article{arxiv.1508.01655,
title = {Uniformly rotating analytic global patch solutions for active scalars},
author = {Angel Castro and Diego Córdoba and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:1508.01655},
year = {2015}
}
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31 pages