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Some estimates for the anisotropic navier-strokes equations and for the hydrostatic approximation
Auteur(s)
Laydi, Mohamed
Date de parution
1992
In
Rairo-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
Vol.
7
No
26
De la page
855
A la page
865
Résumé
This paper is devoted to the study of the Navier-Stokes equations describing the flow of an incompressible fluid in a shallow domain and to the hydrostatic approximation of these equations. We first study the behaviour of solutions of the Navier-Stokes equations when the depth of the domain tends to zero. We then derive the existence of solutions for the hydrostatic approximation.
Identifiants
Type de publication
journal article
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