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arXiv · 1405.0858

On the V-states for the generalized quasi-geostrophic equations

Zineb Hassainia·Taoufik Hmidi
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Abstract

We prove the existence of the V-states for the generalized inviscid SQG equations with $α\in ]0,1[.$ These structures are special rotating simply connected patches with $m-$ fold symmetry bifurcating from the trivial solution at some explicit values of the angular velocity. This produces, inter alia, an infinite family of non stationary global solutions with uniqueness.

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Zineb Hassainia, Taoufik Hmidi. 2014-05-05. On the V-states for the generalized quasi-geostrophic equations. https://doi.org/10.1007/s00220-015-2300-5

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