Doubly connected V-states for the planar Euler equations

Francisco de la Hoz; Joan Mateu; Joan Verdera; Taoufik Hmidi

arxiv: 1409.7096 · v1 · pith:3JW66KZSnew · submitted 2014-09-24 · 🧮 math.AP

Doubly connected V-states for the planar Euler equations

Taoufik Hmidi , Francisco de la Hoz , Joan Mateu , Joan Verdera This is my paper

classification 🧮 math.AP

keywords connecteddoublyannuliequationseulerexistencefoldplanar

0 comments

read the original 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 a $m$-fold symmetry for some $m\ge 3.$ The existence of doubly connected $V$-states of strict $2$-fold symmetry remains open.

This paper has not been read by Pith yet.

Doubly connected V-states for the planar Euler equations

discussion (0)