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- W4380082238 abstract "The existence of a local curve of corotating and counter-rotating vortex pairs was proven by Hmidi and Mateu in 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 understanding of topological properties of the nonlinear problem. For our proof, we adapt the powerful analytic global bifurcation theorem due to Buffoni and Toland, to allow for the singularity at the bifurcation point. For both the corotating and the counter-rotating pairs, along the global curve of solutions either the angular fluid velocity vanishes or the two patches self-intersect." @default.
- W4380082238 created "2023-06-10" @default.
- W4380082238 creator A5016771990 @default.
- W4380082238 creator A5091146571 @default.
- W4380082238 date "2023-06-09" @default.
- W4380082238 modified "2023-09-30" @default.
- W4380082238 title "Global Bifurcation for Corotating and Counter-Rotating Vortex Pairs" @default.
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- W4380082238 doi "https://doi.org/10.1007/s00220-023-04741-6" @default.
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