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

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

56 Citas (Scopus)

Resumen

© 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	Inglés
Páginas (desde-hasta)	1892-1928
Publicación	SIAM Journal on Mathematical Analysis
Volumen	48
N.º	3
DOI	https://doi.org/10.1137/140992801
Estado	Publicada - 1 ene 2016

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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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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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