Doubly connected V-states for the planar euler equations

Francisco De La Hoz; Taoufik Hmidi; Joan Mateu; Joan Verdera

doi:10.1137/140992801

Doubly connected V-states for the planar euler equations

Francisco De La Hoz, Taoufik Hmidi, Joan Mateu, Joan Verdera

Mathematics

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

Abstract

We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m ≥ 3.

Original language	English (US)
Pages (from-to)	1892-1928
Number of pages	37
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	3
DOIs	https://doi.org/10.1137/140992801
State	Published - 2016

Keywords

Bifurcation theory
Doubly connected V-states
Euler equations

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/140992801

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title = "Doubly connected V-states for the planar euler equations",

abstract = "We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m ≥ 3.",

keywords = "Bifurcation theory, Doubly connected V-states, Euler equations",

author = "{De La Hoz}, Francisco and Taoufik Hmidi and Joan Mateu and Joan Verdera",

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year = "2016",

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AU - De La Hoz, Francisco

AU - Hmidi, Taoufik

AU - Mateu, Joan

AU - Verdera, Joan

N1 - Publisher Copyright: © by SIAM.

PY - 2016

Y1 - 2016

N2 - We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m ≥ 3.

AB - We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m ≥ 3.

KW - Bifurcation theory

KW - Doubly connected V-states

KW - Euler equations

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Doubly connected V-states for the planar euler equations

Abstract

Keywords

ASJC Scopus subject areas

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