Work

Doubly connected V-states for the planar Euler equations

Year: 2014

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1409.7096

Authors: Hmidi, Taoufik, de la Hoz, Francisco, Mateu, Joan, Verdera, Joan

Institutions: Institut de recherche mathématique de Rennes, Université Rennes 1, Université de Rennes, University of the Basque Country, Universitat Autònoma de Barcelona

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Generalitat de Catalunya

Awards: G2003488722, G3337025097, Fluid dynamics, boundary layers, vortices and interfaces

OpenAlex ID: W2952612754

Cites: 8

Cited by: 7

Related to: 20