Affiliation:
1. Univ Rennes, CNRS, IRMAR – UMR 6625, F-35000 Rennes, France
Abstract
In this paper, we prove the existence of analytic relative equilibria with holes for quasi-geostrophic shallow-water equations. More precisely, using bifurcation techniques, we establish for any m large enough the existence of two branches of m-fold doubly-connected V-states bifurcating from any annulus of arbitrary size.
Reference37 articles.
1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, 1964.
2. On a product of modified Bessel functions;Baricz;Proceedings of the American Mathematical Society,2009
3. On Turán type inequalities for modified Bessel functions;Baricz;Proceedings of the American Mathematical Society,2013
4. A.L. Bertozzi and A.J. Majda, Vorticity and Incompressible Flow, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2002.
5. Motions of vortex patches;Burbea;Letters in Mathematical Physics,1982
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