On the strong solutions of the primitive equations in 2D domains
type: Item
instance of: scholarly article
title: On the strong solutions of the primitive equations in 2D domains
zbMATH Open document ID: 1013.35066
DOI: 10.1016/S0362-546X(01)00773-8
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The authors consider the initial-boundary value problem for the primitive equations in a two-dimensional domain. Their main results concern the existence of strong solutions (a) globally in time for small data, (b) locally in time for arbitrary data. Furthermore they prove that a weak solution is unique provided that there exists another weak solution satisfying an additional regularity hypothesis.
reviewed by: Klaus Deckelnick
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 1788032
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: hydrostatic pressure
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: local and global existence
zbMATH Keywords: uniqueness
zbMATH Keywords: asymptotic behaviour
author: Francisco Guillén-González
author: María Ángeles Rodríguez-Bellido
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1788032