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

2014/05/05 by Zineb Hassainia, Taoufik Hmidi · 1 citation
Mathematics · #math.AP

paper · pdf · doi:10.1007/s00220-015-2300-5

54 pages

arxiv created 2014/05/05 · arxiv updated 2015/06/19

Abstract

We prove the existence of the V-states for the generalized inviscid SQG equations with α∈ ]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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• Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

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