1519 
Then 
Oo +600 
pest) sia Aly) exp (¢t-Ax) Ay eNO eet) Nora 
O~ 6% 
8.3 For t © 0, x#0, the path of integration of (73) may be 
closed by an infinite arc in the right half plane. The contribution 
of this arc will be zero, and since no poles of A will be enclosed, 
we have 
pet) = 0 for Zs eye e- 
For an exponential shock wave, we have: 
0 CuO 
plot}=o , 
pl, t) = exp (At) tae (74) 
and 
= ~ ls t dt: the ides = a2) 
Al ; exp [-¢ we A+y Sys " (75) 
Then O-+ 00 
_L/[ exp (t-b&) 
fh (yt) 2m Se ae ay (76) 
O- 60d 
Since Y , the coefficient of viscosity, is small, we approximate 
b by a series expansion: 
Bathe See is ae (77) 
G 
