On the V-states for the Generalized Quasi-Geostrophic Equations

Zineb Hassainia; Taoufik Hmidi

doi:10.1007/s00220-015-2300-5

On the V-states for the Generalized Quasi-Geostrophic Equations

Zineb Hassainia, Taoufik Hmidi

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the existence of the V-states for the generalized inviscid SQG equations with $${\alpha \in ]0, 1[.}$$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.

Original language	English (US)
Pages (from-to)	321-377
Number of pages	57
Journal	Communications In Mathematical Physics
Volume	337
Issue number	1
DOIs	https://doi.org/10.1007/s00220-015-2300-5
State	Published - Jul 1 2015

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-015-2300-5

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abstract = "We prove the existence of the V-states for the generalized inviscid SQG equations with $${\alpha \in ]0, 1[.}$$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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On the V-states for the Generalized Quasi-Geostrophic Equations

Abstract

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