The Finiteness of Determining Degrees of Freedom for the Quasi-Geostrophic Multi-Layer Ocean Model - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1996

The Finiteness of Determining Degrees of Freedom for the Quasi-Geostrophic Multi-Layer Ocean Model

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.

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Other [cs.OH]
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Dates and versions

inria-00073625 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073625 , version 1

Cite

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⟩
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