The primitive equations on the large scale ocean under the small depth hypothesis.
type: Item
instance of: scholarly article
title: The primitive equations on the large scale ocean under the small depth hypothesis.
zbMATH Open document ID: 1048.35082
author: Changbing Hu
author: R. Temam
author: M. Ziane
published in: Discrete and Continuous Dynamical Systems
publication date: 2003-07-15T00:00:00Z
review text: The authors establish the global existence of strong solutions of primitive equations for the large-scale ocean with small depth, which allows to introduce a small parameter (thickness parameter for a thin domain). The existence is proved for a large class of initial data and boundary conditions acting as external forcing. The proof is based on a detailed study of the dependence of a number of classical constants on the thickness of the domain, on a priori energy estimates, and on some functional inequalities.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1890729
zbMATH Keywords: small parameter
zbMATH Keywords: thin domain
zbMATH Keywords: existence
zbMATH Keywords: a priori energy estimates
MaRDI profile type: Publication
full work available at URL: dcds.2003.9.97
OpenAlex ID: W2092027449
DOI: 10.3934/DCDS.2003.9.97
description: scientific article; zbMATH DE number 1890729