Generic hydrodynamic instability of curl eigenfields

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dc.creatorEtnyre, John B.
dc.creatorGhrist, Robert
dc.date2003-06-20
dc.date.accessioned2026-07-07T04:59:06Z
dc.date.available2026-07-07T04:59:06Z
dc.descriptionWe prove that for generic geometry, the curl-eigenfield solutions to the steady Euler equations on the three torus are all hydrodynamically unstable (linear, L^2 norm). The proof involves a marriage of contact topological methods with the instability criterion of Friedlander-Vishik. An application of contact homology is the crucial step.
dc.identifierhttps://arxiv.org/abs/math/0306310
dc.identifierhttp://arxiv.org/abs/math/0306310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67846
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject76E09; 37J55; 76B99; 53D40
dc.titleGeneric hydrodynamic instability of curl eigenfields
dc.typetext

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