On the homogeneous model of wind-driven ocean circulation

SIAM Journal on Applied Mathematics

Volumn 60, Issue 1, 1999, Pages 43-60

  Desjardins, B ^a,b   Grenier, E ^a,c  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITÉ PARIS DAUPHINE   (France)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; WATER WAVE EFFECTS; WIND EFFECTS;

HOMOGENEOUS MODELS; MUNK LAYERS; STOMMEL LAYERS; WIND-DRIVEN OCEAN CIRCULATIONS;

OCEAN CURRENTS;

EID: 0343193146     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997324261     Document Type: Article

References (18)

1. T. COLIN, Remarks on a homogeneous model of ocean circulation, Asymptot. Anal., 12 (1996), pp. 153-168.
2. T. COLIN AND P. FABRIE, Equations de Navier-Stokes 3D avec force de Coriolis et viscosíté verticale évanescente, C. R. Acad. Sci. Paris, Sér. I Math., 324 (1997), pp. 275-280.
3. B. DESJARDINS AND E. GRENIER, Derivation of the quasigeostrophic potential equations, Adv. Differential Equations, to appear.
4. V. W. EKMAN, On the influence of the earth's rotation on ocean currents., Ar. Mat. Astr. Fysik, Stockholm, 2 (11) (1905).
5. A. E. GILL, Atmosphere Ocean Dynamics, Academic Press, New York, 1982.
6. H. P. GREENSPAN, The Theory of Rotating Fluids. Cambridge Monogr. Mech. Appl. Math., Cambridge Univ. Press, Cambridge, New York, 1980.
7. E. GRENIER, Oscillatory perturbations of the Navier-Stokes equations, J. Math. Pures Appl., 76 (1997), pp. 477-498.
8. E. GRENIER, Fluides tournants et ondes d'inertie. C. R. Acad. Sci. Paris, 321 (1995), pp. 711-714.
9. E. GRENIER AND O. GUÉS, Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems, J. Differential Equations, 143 (1) (1998), pp. 110-146.
10. E. GRENIER AND N. MASMOUDI, Ekman layers of rotating fluids, the case of well prepared data, Comm. Partial Differential Equations, 22 (1997), pp. 953-975.
11. J. LERAY, Essai sur les mouvements plans o'un liquide visqueux que limitent des parois, J. Math. Pures Appl., 13 (1934), pp. 331-418.
12. R. LEWANDOWSKI, Analyse mathématique et océanographique, Recherches en Mathématiques Appliquées, Masson, Paris, Milan, Barcelona, 1997.
13. D. LEVERMORE, M. OLIVER, AND E. TITI, Global well-posedness for models of shallow water in a basin with a varying bottom, Indiana Univ. Math. J., 45 (1996), pp. 479-510.
14. J.-L. LIONS, R. TEMAM, AND S. WANG, Modèles et analyse mathèmatiques du système ocèan/ atmosphère, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 113-119, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 211-215, C. R. Acad. Sci. Paris Sér. I Math., 318 (1994), pp. 1165-1171.
15. J.-L. LIONS, R. TEMAM, AND S. WANG, Modèles et analyse mathèmatiques du système ocèan/ atmosphère, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 113-119, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 211-215, C. R. Acad. Sci. Paris Sér. I Math., 318 (1994), pp. 1165-1171.
16. J.-L. LIONS, R. TEMAM, AND S. WANG, Modèles et analyse mathèmatiques du système ocèan/ atmosphère, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 113-119, C. R. Acad. Sci. Paris Sér. I Math., 316 (1993), pp. 211-215, C. R. Acad. Sci. Paris Sér. I Math., 318 (1994), pp. 1165-1171.
17. W. H. MUNK AND G. F. CARRIER, The wind-driven circulation in ocean basins of various shapes, Tellus, 2 (1950), pp. 158-167.
18. J. PEDLOSKY, Geophysical Fluid Dynamics, Springer-Verlag, Berlin, 1979.