• Corpus ID: 248377088

# Global bifurcation for corotating and counter-rotating vortex pairs

@inproceedings{Garcia2022GlobalBF,
title={Global bifurcation for corotating and counter-rotating vortex pairs},
author={Claudia Garc'ia and Susanna V. Haziot},
year={2022}
}
• Published 24 April 2022
• Mathematics
Abstract. The existence of a local curve of corotating and counter-rotating vortex pairs was proven by Hmidi and Mateu in [HM17] via a desingularization of a pair of point vortices. In this paper, we construct a global continuation of these local curves. That is, we consider solutions which are more than a mere perturbation of a trivial solution. Indeed, while the local analysis relies on the study of the linear equation at the trivial solution, the global analysis requires on a deeper…
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