  The Gamma-Ray Bursts - GRBs are one of the most energetic astronomical events
in the universe that have not yet an adequate explanation of what kind of
mechanism is carried out. This question motivates the astronomical community to
do radiation measurements associated with the GRBs. They also are doing
physical models to explain the temporal behavior of these observational
results. The community are looking for an appropriate explanation of GRBs
origin.
  This thesis presents an astrophysical model that includes an hydrodynamic and
radiative aspects. This model studies the temporal evolution of a wave carries
an expansive ultra-relativistic adiabatic fluid. Additionally, this thesis
present a comparison between model with GRB 050525 observational behavior. It
is found that the blast wave radius R shows an increase in the time: R \approx
t^{1/4}, the Lorentz gamma factor of charged particles that are in
ultra-relativistic fluid decreases significantly over time and the theoretical
flow of radiation: F_{\nu} \approx t^{-\beta} with {\beta} around 1 fits very
well with the two slopes of the x-ray afterglow light curve of GRB 050525.
