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Observatoire Midi-Pyrénées |  |
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Observatoire Midi-Pyrénées | |
| HAL: hal-00124360, version 1 |
| arXiv: physics/0011031 |
| Detailed view |  Export this paper |
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| Physical Review Letters 85 (2000) 4277 |
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| Waves attractors in rotating fluids: a paradigm for ill-posed Cauchy problems |
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| M. Rieutord 1Bertrand Georgeot 2 |
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| (2000) |
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| In 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. |
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| 1: | UMS 831 unité mixte de service (UMS 831) |
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CNRS : UMS831 – Institut de recherche pour le développement [IRD] – CNES – INSU – Université Paul Sabatier [UPS] - Toulouse III – Observatoire Midi-Pyrénées |
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| 2: | Laboratoire de Physique Quantique (LPQ) |
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CNRS : UMR5626 – Université Paul Sabatier [UPS] - Toulouse III |
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| Groupe de Physique Théorique |
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| Subject | : | Nonlinear Sciences/Pattern Formation and Solitons Physics/Astrophysics/Cosmology and Extra-Galactic Astrophysics Sciences of the Universe/Astrophysics/Cosmology and Extra-Galactic Astrophysics Physics/Condensed Matter/Other Physics/General Relativity and Quantum Cosmology Physics/Physics/Fluid Dynamics |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/physics/0011031 |
| hal-00124360, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00124360 | |
| oai:hal.archives-ouvertes.fr:hal-00124360 | |
| From: Import Arxiv | |
| Submitted on: Sunday, 14 January 2007 16:47:17 | |
| Updated on: Wednesday, 13 June 2012 15:12:37 | |
