It is now convenient to introduce a complex notation as follows: 



W - U + LV 



t -- r% c r 



c- R-. 



Equation (1) can now be expressed as 



v2. 



A^. - ^fp^ = # 



32 



_ ^: 



^V] 



C3) 



with the complex boundary conditions 



Consider the case where the wind stress and the horizontal pressure gradient 

 are prescribed in equation (3) . The general solution to equation (3) is thus 



W Z C, £ 



ml 



'a 





-I- — ^ 



where the pressure is linear in Z 

 and g is the acceleration of gravity. 



