The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model
type: Item
instance of: scholarly article
title: The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model
zbMATH Open document ID: 0996.86002
DOI: 10.1016/S0362-546X(99)00188-1
author: Ch. Bernier-Kazantsev
author: I. D. Chueshov
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-04-08T00:00:00Z
review text: Mathematical aspects of ocean dynamics are considered from the view point of degrees of freedom relevant to the nonlinear fluid equations in the quasi-geostrophic formulation. The fluid is assumed incompressible, and with neglected thermodynamic characteristics. The domain is divided into a finite number of horizontal layers with boundary conditions imposed on its top (coupling to the atmosphere) and bottom (drag effects). Through formulated and proven theorems, the solutions have been shown to be unique and with a finite degree of freedom.
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1532920
zbMATH Keywords: quasi geostrophic multi-layer ocean modeling
zbMATH Keywords: degrees of freedom
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: stream function
MaRDI profile type: Publication
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Wikidata QID: Q127015967
full work available at URL: s0362-546x(99)00188-1
OpenAlex ID: W1983937057
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description: scientific article; zbMATH DE number 1532920