405 
aw 
2 fa ge 7 G2 
ue-VP. f= 
~s 
2 yg 
Vu ~ o> | 
Ls (hy Seal 
as 
= 
a 
wot. 
For the case of spherical symmetry, which we shall consider, Eqs. 3.12 
take the form 
r? ror dt m3) 
a) a ae ee ae 
Jr? C20ee CTL FOr oily 
SL and u are related in the following manner, 
Eee as Se 
Me rt’ Gy 
(dr/dt)y ? 
where Cy is the velocity of propagation of the function se (x5) 
(3.14) 
An alternative formulation of the hydrodynamical equations 3,1 
is the well-known Riemann Ate bared Since we shall use the Riemann 
equations in an auxiliary capacity in investigating the solutions of 
Eqe 3.13, we present them here. If a function @’ is defined as 
dp (3.15) 
fo 
taken along the initial adiabatic S,, and dissipative terms can be neglec- 
ted, Eqs. 3.1 take the form for the case of tae symmetry, 
a Ge Ati Bie du Ou . 
ToC aoe ee ghee 2 Feust oO, (3.16) 
15/ B. Riemann, Nachr. Ges, Wiss, Gdttingen, 8, 43 (1860 
19 
