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

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

56 Citations (Scopus)

Abstract

© by SIAM. 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
Pages (from-to)	1892-1928
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	3
DOIs	https://doi.org/10.1137/140992801
Publication status	Published - 1 Jan 2016

Keywords

Bifurcation theory
Doubly connected V-states
Euler equations

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10.1137/140992801

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

abstract = "{\textcopyright} by SIAM. 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",

year = "2016",

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doi = "10.1137/140992801",

language = "English",

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T1 - Doubly connected V-states for the planar euler equations

AU - De La Hoz, Francisco

AU - Hmidi, Taoufik

AU - Mateu, Joan

AU - Verdera, Joan

PY - 2016/1/1

Y1 - 2016/1/1

N2 - © by SIAM. 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 - © by SIAM. 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

UR - https://www.scopus.com/pages/publications/84977267802

U2 - 10.1137/140992801

DO - 10.1137/140992801

M3 - Article

SN - 0036-1410

VL - 48

SP - 1892

EP - 1928

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 3

ER -

Doubly connected V-states for the planar euler equations

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Keywords

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