Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation

International Journal of Phytoremediation

Volumn 70, Issue 1-2, 1998, Pages 147-173

  Samelson, R ^a   Temam, R ^b,c   Wang, S ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b INDIANA UNIVERSITY   (United States)

^c UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

4th order diffusions; Boundary effects; Existence and properties of solutions; Planetary geostrophic equations; Planetary scale ocean dynamics; Primitive equation

Indexed keywords

EID: 0008451717     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036819808840682     Document Type: Article

References (20)

1. Colin De Verdiere, A., 1986. On mean flow instabilities within the planetary geostruphic equations. J. Phys. Oceanogr, 16: 1981-1984.
2. Colin De Verdiere, A., 1988. Buoyancy driven planetary flows. J. Mar. Res, 46: 215-265.
3. Colin De Verdiere, A., 1989. On the interaction of wind and buoyancy driven gyres. J. Mar. Res, 47: 595-633.
4. Dukowicz, J., Smith, R., and Malone, R., A reformulation and impiementation of the bryan-coxsemtner ocean model on the connection machine. Journal of Atmospheric and Oceanic Technology, 10195-208.
5. Lions, J. L., Temam, R., and Wang, S., 1992. New formulations of the primitive equations of the atmosphere and applications. Nonlinearity, 5: 237-288.
6. Lions, J L., Temam, R., and Wang, S., 1992. On the equations of large-scale ocean. Nonlinearity, 5: 1007-1053.
7. Lions, Jl L., Temam, R., and Wang, S., 1995. Mathematical study of the coupled models of atmosphere and ocean (CAO III). J. Math. Pure Appl, 73 (2): 105-163.
8. Lions, J. L., Temam, R., and Wang, S., 1997. A simple global model for the general circulation of the atmosphere, Dedicated to Peter D. Lax and Louis Nirenberg on the occasion of their 70th birthdays. Comm. Pure. Appl. Math, 50 (8): 707-752.
9. Pedlosky, J., 1983. Eastern boundary ventilation and the structure of the thermocline. J. Phys. Oceanogr, 13 (8): 2038-2044.
10. Pedlosky, J., 1984. The equations for geostrophic motion in the ocean. J. Phys. Oceanogr, 14 (8): 448-455.
11. Pedlosky, J., 1987. Geophysical Fluid Dynamics, New-York: Springer-Verlag.
12. Phillips, N. A., 1963. Geostrophic motion. Rev. Geophys, 1: 123-176.
13. Phillips, N. A., 1973. Principles of large scale numerica1 weather prediction, in Dynamic Meteorology, Edited by: Morel, P., 1-96. D. Reidel Publishing.
14. Robinson, A., and Stommel, H., 1959. The oceanic themocline and associated thermohaline circulation. Tellus, 11: 295-308.
15. Samelson, R., and Vallis, G., 1996. A simplefnction and diffwion scheme for planetary geostrophic basin models. J. Phys. Oceanogr, 11
16. Samelson, R., and Vallis, G., 1997. Large-scale circulation vith small diapycnal diffwsion: the two-thermocline limit. J. Marine, 55: 223-275.
17. Schonbek M., Vallis G., Energy decay of the planetay geostrophic equations 1998
18. Smith, R., Dukowicz, J., and Malone, R., 1997. Parallel ocean genera1 circdation modeling. Physica D, 60: 38-61.
19. Temam, R., 1984. Navier-Stokes Equations: Theoy and Numerica1 Analysis, Amsterdam: North-Holland.
20. Welander, P., 1959. An advective mode1 of the ocean thermocline. Tellus, 11: 309-318.