Non-trivial m-fold doubly-connected stationary vortex patches are proven to exist for the quasi-geostrophic shallow-water equations via bifurcation from annuli.
Baricz,On a product of modified Bessel functions,Proceedings of the American Mathematical Society 137 (2009), no
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On stationary Quasi-Geostrophic Shallow-Water flows
Non-trivial m-fold doubly-connected stationary vortex patches are proven to exist for the quasi-geostrophic shallow-water equations via bifurcation from annuli.