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

Christine Bernier-Kazantsev (1) , Igor D. Chueshov

1 NUMATH - Mathematical Analysis and Numerical Simulation of Non-Linear Models

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.

Mots clés: determining degree of freedom; quasi-geostrophic model

Domaines: Autre [cs.OH]

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⟩