All-101 ]_03 



An application of the boundary conditions, ij) = i|) =0 

 on X = OjT, yields 



^= (1+asinT) sin nsyl -x-f-r-e^'^^ + e^^^ ^(x-v)e 



1 I „ [ 



-f [(e^^3.r)eos i^l-f}^) + (^ el/3 _ ^.)sin (2^fi-|:i^^ ] 

 l_ ^ V3 ^ 



^ xe-V^ 



e 2~ 



The term 1 is valid throughout the ocean. Near x =^ 0, 3 be- 

 comes as important as 1 and gets negligibly small as x in- 

 creases. Near x = r, 2 and 1 together form the solution but 

 2 tends to zero as x decreases. 



Perhaps a fev/ remarks should be made as to the specific 

 choice of sin nsy for the total y dependence of the solution. 

 The particular choice of sin nsy satisfies the boundary con- 

 ditions \|j=:i|j =Oony = 0, y = l, and is supported by the 

 specified v;ind distribution. Thus we were not forced to resort 

 to a boundary layer analysis to satisfy the four boundary 

 conditions. Of course, such a simple choice is not always 

 possible, and one might have to resort to methods for refining 

 the interior solution in other problems in order to satisfy 

 the necessary boundary conditions. 



