Doubly connected V-states for the planar Euler equations
Analysis of PDEs
2014-09-26 v1
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 -states we obtain enjoy a -fold symmetry for some The existence of doubly connected -states of strict -fold symmetry remains open.
Keywords
Cite
@article{arxiv.1409.7096,
title = {Doubly connected V-states for the planar Euler equations},
author = {Taoufik Hmidi and Francisco de la Hoz and Joan Mateu and Joan Verdera},
journal= {arXiv preprint arXiv:1409.7096},
year = {2014}
}
Comments
40 pages