Homogeneous hydrostatic flows with convex velocity profiles

Nonlinearity

Volumn 12, Issue 3, 1999, Pages 495-512

  Brenier, Yann ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033130274     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/3/004     Document Type: Article

References (10)

1. Arnold V I 1998 Topological methods in hydrodynamics (Applied Mathematical Sciences 125) (New York: Springer)
2. Bourgeois A J and Beale J T 1994 Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean SIAM J. Math. Anal. 25 1023-68
3. Brenier Y 1997 A homogenized model for vortex sheets Arch. Rational Mech. 138 319-53
4. Brenier Y 1997 Minimal geodesics on groups of volume-preserving maps LMENS Report 97-18, Ecole Normale Supérieure
5. Chemin J-Y 1995 Fluides parfaits incompressibles Astérisque 230
6. Holm D and Long B 1989 Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance Nonlinearity 2 23-35
7. Kato T 1975 The Cauchy problem for quasi-linear symmetric hyperbolic systems Arch. Rational Mech. Anal. 58 181-205
8. Lions J-L, Temam R and Wang S 1992 On the equations of the large-scale ocean Nonlinearity 5 1007-53
9. Lions P-L 1996 Mathematical Topics in Fluid Mechanics. Incompressible Models (Oxford Lecture Series in Mathematics and its Applications vol 1) (New York: Oxford University Press)
10. Pedlosky J 1979 Geophysical Fluid Dynamics (New York: Springer)