16 



Art. 7. — K. Terazawa : 



acts on a slightl}^ extended area of the boundary, whicli will be 

 discussed in the next example. 



Example II. 



§15. Suppose the normal pressure at ^ = is given in the 



form 



fir) = 



n 



a>0, 



271 {d' + j-f 

 n being its total amount. The function Zijc) is 



(38) 



03 



^71 ./ fcr + a-r- 



77 



2;r 



he' 



(39) 



Thus the solution corresponding to the boundary condition (38) 

 Avill be given by 



u, = - — j c-^'^"^''-J,{'kr)'kd'k 



Jh 



II 



^-Mi') 



-fe-^'^'^yj,ik7-)(U; 



Attu. J 



+ ■ 





4;r/</l + //) / 



and 



7r = -^ l7'^^">%lhWdl-~^fe-''^''^VXh-)k 

 27r ./ ^ 2;rr •/ 



dk 



II 



'M 





2<T(/l + /.); 



66 



= -^ fe'^^^'^^'J.ikrkdk- /'f" , fh^^-'-J^ik 



•)dk 



in 



27r(; + ^) J^ 



fe-^'+'-'^-J,<kr)kdk, 



(40) 



(^1) 



