All-101 5 



etc. To find all such motions one would have to take into ac- 

 count the effects of the wind, density and temperature distribu- 

 tion, the topography of the ocean bed and possibly even such 

 features as salinity. Needless to say, a mathematical analysis 

 including all these features is Impossible. It is therefore 

 necessary to decide what particular aspects of the problem one 

 wishes to study. In this paper we shall confine our attention 

 to large-scale wind-driven motions in the oceans and their re- 

 sponses to a prescribed time variation in the v/ind. In the 

 Atlantic Ocean, such large-scale motions must include the Gulf 

 Stream and its counter-currents, the Sargasso Sea, etc. 



The time-dependent problem has also been considered by 

 Ichiye [16] « V/e shall discuss his work later in the report. 



It has been generally agreed upon by oceanographers 

 that the type of phenomena we wish to consider can be adequately 

 described by the dynamics of the problem alone, the temperature 

 effects being included by way of an assumed semi-empirical den- 

 sity distribution. At the Woods Hole Ocearographic Institute j 

 experiments with a model parabolic ocean basin verify the above 

 conjecture. Hence, in the subsequent analysis, we shall neglect 

 direct teinperature dependency in the treatment of the problem 

 and shall include only the effects of wind and gravitation. 



A large part of our report is concerned with the formu- 

 lation of the problem and the assumptions made to reduce the 

 general problem to one which can be attacked mathematically. In 

 the past a discussion of such assumptions has often been vague. 

 It was felt therefore that an explicit and detailed analysis of 



