Abstract
We prove the existence of the V-states for the generalized inviscid SQG equations with \({\alpha \in ]0, 1[.}\) 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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Hassainia, Z., Hmidi, T. On the V-states for the Generalized Quasi-Geostrophic Equations. Commun. Math. Phys. 337, 321–377 (2015). https://doi.org/10.1007/s00220-015-2300-5
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DOI: https://doi.org/10.1007/s00220-015-2300-5