  We study the Euler-Poisson equations of describing the evolution of the
gaseous star in astrophysics. Firstly, we construct a family of analytical
blowup solutions for the isothermal case in R^2. Furthermore the blowup rate of
the above solutions is also studied and some remarks about the applicability of
such solutions to the Navier-Stokes-Poisson equations and the drift-diffusion
model in semiconductors are included. Finally, for the isothermal case, the
result of Makino and Perthame for the tame solutions is extended to show that
the life span of such solutions must be finite if the initial data is with
compact support.
