On the derivation of homogeneous hydrostatic equations
Grenier, Emmanuel
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999), p. 965-970 / Harvested from Numdam
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Publié le : 1999-01-01
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     author = {Grenier, Emmanuel},
     title = {On the derivation of homogeneous hydrostatic equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {33},
     year = {1999},
     pages = {965-970},
     mrnumber = {1726718},
     zbl = {0947.76013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1999__33_5_965_0}
}

Grenier, Emmanuel. On the derivation of homogeneous hydrostatic equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 965-970. http://gdmltest.u-ga.fr/item/M2AN_1999__33_5_965_0/

[1] V.I. Arnold, Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier 16 (1996) 319-361. | Numdam | MR 202082 | Zbl 0148.45301

[2] Y. Brenier, Homogeneous hydrostatic flows with convex velocity profiles, Nonlinearity 12 (1999) 495-512. | MR 1690189 | Zbl 0984.35131

[3] Y. Brenier, Comparaison du régime hydrostatique des fluides incompressibles non visqueux et du régime quasineutre des plasmas. Private communication (1998).

[4] B. Desjardins, E. Dormy and E. Grenier, Reynolds.m, a matlab package to compute Reynolds numbers of shear layers. Preprint and package, available at http://www.dmi.ens.fr/equipes/edp/reynolds.html.

[5] S. Friedlander, W. Strauss and M. Vishik, Nonlinear instability in an ideal fluid. Ann. Inst. H. Poincaré. Anal Non Linéaire 14 (1997) 187-209. | Numdam | MR 1441392 | Zbl 0874.76026

[6] E. Grenier, On the stability of boundary layers of incompressible Euler equations. J. Differential Equations (to appear). | MR 1761422 | Zbl 0958.35106

[7] E. Grenier, Boundary layers of 2D inviscid fluids from an Hamiltonian viewpoint. Math. Res. Lett. 6 (1999) 1-13. | MR 1713128 | Zbl 0970.76027

[8] E. Grenier, On the nonlinear instability of Euler and Navier-Stokes equations (in preparation).

[9] P.-L. Lions, Mathematical topics in fluid Mechanics, Vol I, Incompressible models, in Oxford Lecture Series in Mathematics and its Applications, 3. Oxford Science Publications, The Clarendon Press, Oxford University Press, New York (1996). | MR 1422251 | Zbl 0866.76002

[10] Lord Rayleigh, On the stability, or instabilité of certain fluid motion. Proc. London Math. Soc. 11 (1880) 57-70. | JFM 12.0711.02