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

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Resum

© 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.

Idioma original	Anglès
Pàgines (de-a)	1892-1928
Revista	SIAM Journal on Mathematical Analysis
Volum	48
Número	3
DOIs	https://doi.org/10.1137/140992801
Estat de la publicació	Publicada - 1 de gen. 2016

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10.1137/140992801

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@article{53e65016a2a0478bb7d4cdc86b89cea8,

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",

month = jan,

day = "1",

doi = "10.1137/140992801",

language = "English",

volume = "48",

pages = "1892--1928",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

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TY - JOUR

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

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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