On the derivation of homogeneous hydrostatic equations

Emmanuel Grenier

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 5, page 965-970
  • ISSN: 0764-583X

Abstract

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

How to cite

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Grenier, Emmanuel. "On the derivation of homogeneous hydrostatic equations." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 965-970. <http://eudml.org/doc/197603>.

@article{Grenier2010,
abstract = { In this paper we study the derivation of homogeneous hydrostatic equations starting from 2D Euler equations, following for instance [2,9]. We give a convergence result for convex profiles and a divergence result for a particular inflexion profile. },
author = {Grenier, Emmanuel},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Stability; shear flow.; two-dimensional incompressible Euler equations; stability of time-independent shear layers flows; energy method; homogeneous hydrostatic equations; convergence; convex profiles; divergence; inflexion profile},
language = {eng},
month = {3},
number = {5},
pages = {965-970},
publisher = {EDP Sciences},
title = {On the derivation of homogeneous hydrostatic equations},
url = {http://eudml.org/doc/197603},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Grenier, Emmanuel
TI - On the derivation of homogeneous hydrostatic equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 965
EP - 970
AB - In this paper we study the derivation of homogeneous hydrostatic equations starting from 2D Euler equations, following for instance [2,9]. We give a convergence result for convex profiles and a divergence result for a particular inflexion profile.
LA - eng
KW - Stability; shear flow.; two-dimensional incompressible Euler equations; stability of time-independent shear layers flows; energy method; homogeneous hydrostatic equations; convergence; convex profiles; divergence; inflexion profile
UR - http://eudml.org/doc/197603
ER -

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