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On the derivation of homogeneoushydrostatic equations

Published online by Cambridge University Press:  15 August 2002

Emmanuel Grenier
Emmanuel Grenier*
Affiliation:
UMPA, École Normale Supérieure de Lyon, allée d'Italie, Lyon Cedex , France. egrenier@umpa.ens-lyon.fr.
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Abstract

In this paper we study the derivation of homogeneous hydrostatic equationsstarting from 2D Euler equations, following for instance[2,9]. We give a convergence result for convex profiles anda divergence result for a particular inflexion profile.

Keywords

Stabilityshear flow.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 5 , September 1999 , pp. 965 - 970
Copyright
© EDP Sciences, SMAI, 1999

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