wave length the height of these waves may also grow. But the results 

 will show that the increase in wave height is only of minor sig- 

 nificance, and this result confirms experience at sea. 



For Case A where the waves are considered to grow with the 

 duration of wind action along an unlimited fetch, and for Case B 

 where the waves are considered to grow along the fetch under the 

 action of a wind of sufficiently long duration, we get analagous 

 to (57) and (58) for the state p*> 1 



Case A 

 Case B 



,, . £, i£|!£.tfL^;!lii^^ ap» , i<p.<p/, (78) 



where C^(p) is given by equation (30), or 



C3(P) = C2(Pjji) - s*Trn e"^^* (1 - p*)^ (79) 



and 



B (p) . BA!g, M(r) e-^^^^ . (80) 



^ P v^p* 



M(p*) is to be determined by (37). 



7) The growth of complex sea under the action of wind . Numerical 

 results, and comparison with observations 



The differential relations derived in Sections 5 and 6 give 

 the increase of fetch x or the increase of duration t of wind action 

 necessary for the development of certain stages of complex wave 

 motion. So far, the growth of the waves has been examined only in 

 two special cases, Case A and Case B. Under natiu'al conditions, 



95 



