  A granular gas subjected to a permanent injection of energy is described by
means of hydrodynamic equations derived from a moment expansion method. The
method uses as reference function not a Maxwellian distribution $f_{\sf M}$ but
a distribution $f_0 = \Phi f_{\sf M}$, such that $\Phi$ adds a fourth cumulant
$\kappa$ to the velocity distribution. The formalism is applied to a stationary
conductive case showing that the theory fits extraordinarily well the results
coming from our molecular dynamic simulations once we determine $\kappa$ as a
function of the inelasticity of the particle-particle collisions. The shape of
$\kappa$ is independent of the size $N$ of the system.
