Waves attractors in rotating fluids: a paradigm for ill-posed Cauchy problems

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dc.creatorRieutord, M.
dc.creatorGeorgeot, B.
dc.creatorValdettaro, L.
dc.date2000-11-15
dc.date.accessioned2026-07-07T11:48:27Z
dc.date.available2026-07-07T11:48:27Z
dc.descriptionIn the limit of low viscosity, we show that the amplitude of the modes of oscillation of a rotating fluid, namely inertial modes, concentrate along an attractor formed by a periodic orbit of characteristics of the underlying hyperbolic Poincaré equation. The dynamics of characteristics is used to elaborate a scenario for the asymptotic behaviour of the eigenmodes and eigenspectrum in the physically relevant régime of very low viscosities which are out of reach numerically. This problem offers a canonical ill-posed Cauchy problem which has applications in other fields.
dc.description4 pages, 5 fig
dc.identifierhttps://arxiv.org/abs/physics/0011031
dc.identifierhttp://arxiv.org/abs/physics/0011031
dc.identifierPhys.Rev.Lett.85:4277,2000
dc.identifierdoi:10.1103/PhysRevLett.85.4277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202923
dc.subjectFluid Dynamics
dc.subjectAstrophysics
dc.subjectCondensed Matter
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectPattern Formation and Solitons
dc.titleWaves attractors in rotating fluids: a paradigm for ill-posed Cauchy problems
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