surface of the sea will not be a plane, but have a slope in the offshore 
direction, the amount of slope warying as a function of the distance zx from 
the coast. In such a case ‘the hydrodynamical equations of motion are, after 
several reasonable simplifications, 
An ou Ar dU Aug Lt =o0 
pie Pe cea a) 
where y and y are the horizontal components of the current velocity in the 
xe and y= ‘irections, C the surface elevation depending on x only, | 
the density, Ay and | An the coefficients of wertical and horizontal mixing 
(eddy viscosity) of sea water, C.) the angular velccity of the earth and 
ih the geographic Intitude. In addition to these, we have the equation 
of continuity in the form 
Be OW. = 
Gh 22 
(2) 
av | 
since a7 =O . Here Ur is the vertical component of currents. 
Let the components of wind stress be given by Cn and c « Because 
the sone of wind is of finite width within a distance J) from the coast, 
the conditions to be satisfied on the surface of the sea are therefore 
au Tv Zin < 
a ga =, 
v2 /, awe foy 
= =6 eo 
5 =O), # ry We a OF iS 
ov" we ay & VA 
-AS/ =% fer O87 
OA 7a 
oD 
Ce ee (3) 
ww 
