Abstract : In this paper, we consider a multi-layer quasi-geostrophic model of the ocean dynamics and we prove that the long-time behaviour of its solutions can be described by a finite number of determining parameters. Under some additional condition we also show that the dynamics of the bottom layer is completely determined by parameters connected with upper layers only. It means that the information about the bottom layer is not essential for a description of the long-time behaviour of the system under consideration.
https://hal.inria.fr/inria-00073625
Contributeur : Rapport de Recherche Inria
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Soumis le : mercredi 24 mai 2006 - 13:22:09
Dernière modification le : samedi 17 septembre 2016 - 01:06:49
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Christine Bernier-Kazantsev, Igor D. Chueshov. The Finiteness of Determining Degrees of Freedom for the Quasi-Geostrophic Multi-Layer Ocean Model. [Research Report] RR-3067, INRIA. 1996, pp.17. 〈inria-00073625〉
