Stratified integrals and unknots in invisid flows

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that any steady solution to the real analytic Euler equations on a Riemannian 3-sphere must possess a periodic orbit bounding an embedded disc. One key ingredient is an extension of Fomenko's work on the topology of integrable Hamiltonian systems to a degenerate case involving stratified integrals. The result on the Euler equations follows from this when combined with some contact-topological perspectives and a recent result of Hofer, Wyzsocki, and Zehnder.

Keywords

Dynamical Systems, Geometric Topology, 57M25, 76C05(primary) 58F07, 58F22 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78446

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905009
 http://arxiv.org/abs/math/9905009

Collections

arXiv