Stratified integrals and unknots in invisid flows

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dc.creatorEtnyre, John B.
dc.creatorGhrist, Robert W.
dc.date1999-05-03
dc.date.accessioned2026-07-07T05:28:56Z
dc.date.available2026-07-07T05:28:56Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/9905009
dc.identifierhttp://arxiv.org/abs/math/9905009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78446
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject57M25, 76C05(primary) 58F07, 58F22 (secondary)
dc.titleStratified integrals and unknots in invisid flows
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