All- 101 10 



that the two-layer problem specifically restricts the fluid of 

 the top layer to remain in the top layer and the fluid in the 

 lower layer to remain in the lower layer* The one-layer prob- 

 lem has no such restriction and an interchange of fluid may 

 result. However, because of the integration we have no inform- 

 ation concerning this vertical motion. 



6» The non-linear terms in the equations of horizontal 

 motion are neglected, A plausibility argument for this assump- 

 tion, based on the results of [7], is presented in Appendix 2. 

 However, our results must now be considered tentative, since 

 the case presented in the appendix for the neglect of the non- 

 linear terms is a plausibility argument and not a justification* 

 The primary motive for neglecting the non-linear terms is our 

 inability to cope with them analytically, 



7« The Coriolis parameter is linearized. In effect, 

 this is comparable to linearizing the sine of an angle when the 

 angle varies between l5° and 60°, 



With the above assumptions and simplifications v;e are 

 in a position to attempt a solution of the non-steady problem. 

 The ocean is chosen to be rectangular with vertical walls as 

 boundaries on the east and west. Because of the presence of 

 viscosity, the boundary conditions on these walls are that the 

 velocities vanish. The boundaries on the north and south are 

 water boundaries. 



The wind-stress is I'rltten as 



T-j, = - (V/ ' +r'sinwt)cos ny 



