On the order of magnitude of the baroclinic flow in the primitive equations of the ocean

Annali di Matematica Pura ed Applicata

Volumn 185, Issue SUPPL. 5, 2006, Pages

  Simonnet, E ^a   Medjo, T Tachim ^b   Temam, R ^c  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b FLORIDA INTERNATIONAL UNIVERSITY   (United States)

^c INDIANA UNIVERSITY   (United States)

Author keywords

Asymptotic; Baroclinic flow; Barotropic flow; Geostrophic; Primitive equations

Indexed keywords

EID: 33748868927     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-004-0146-0     Document Type: Article

References (14)

1. Embid, P.F., Majda, A.: Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Commun. Partial Differ. Equations 21, 619-658 (1996)
2. Griffies, S.M., Boening, C., Bryan, F.O., Chassignet, E.P., Gerdes, R., Hasumi, H., Hirst, A., Treguier, A.M., Webb, D.: Developments in ocean climate modelling. Ocean Model 2, 123-192 (2000)
3. Haltiner, G.J., Williams, R.T.: Numerical prediction and dynamic meteorology. New York: Wiley 1980
4. Lions, J.L., Temam, R., Wang, S.: On the equations of large-scale ocean. Nonlinearity 5, 1007-1053 (1992)
5. Lions, J.L., Temam, R., Wang, S.: Models of the coupled atmosphere and ocean (CAO I). Comput. Mech. Adv. 1, 3-54 (1993)
6. Lions, J.L., Temam, R., Wang, S.: Numerical analysis of the coupled atmosphere and ocean models (CAO II). Comput. Mech. Adv. 1, 55-120 (1993)
7. Lions, J.L., Temam, R., Wang, S.: Mathematical study of the coupled models of atmosphere and ocean (CAO III). J. Math. Pures Appl. 74, 105-163 (1995)
8. Lions, J.L., Temam, R., Wang, S.: On mathematical problems for the primitive equations of the ocean: the mesoscale midlatitude case. Lakshmikantham's legacy: a tribute on his 75th birthday. Nonlinear Anal. Theory Methods Appl. 40, 439-482 (2000)
9. Pedlosky, J.: Geophysical Fluid Dynamics, 2nd edn. Berlin Heidelberg New York: Springer 1987
10. Peixoto, J.P., Oort, A.H.: Physics of Climate. New York: American Institute of Physics 1992
11. Simonnet, E., Tachim Medjo, T., Temam, R.: Barotropic-baroclinic formulation of the primitive equations of the ocean. Appl. Anal. 82, 439-456 (2003)
12. Temam, R.T., Ziane, M.: Some mathematical problems in geophysical fluid dynamics. In: Friedlander, S., Serre, D. (eds.): Handbook of Mathematical Fluid Dynamics, vol. III, pp. 535-658. Amsterdam: Elsevier (2004)
13. Wang, S.: On Solvability for the Equations of the Large-Scale atmospheric Motion. PhD thesis, Lanzhou University, China 1988
14. Washington, W.M., Parkinson, C.L.: An Introduction to Three-Dimensional Climate Modeling. Oxford: Oxford University Press 1986