Derivation of the Navier-Stokes-Poisson System with Radiation for an Accretion Disk

We study the 3-D compressible barotropic radiation fluid dynamics system describing the motion of the compressible rotating viscous fluid with gravitation and radiation confined to a straight layer Omega(epsilon) = omega x (0, epsilon), where omega is a 2-D domain. We show that weak solutions in the 3-D domain converge to the strong solution of-the rotating 2-D Navier-Stokes-Poisson system with radiation in omega as epsilon -> 0 for all times less than the maximal life time of the strong solution of the 2-D system when the Froude number is small (Fr = O(root epsilon)),-the rotating pure 2-D Navier-Stokes system with radiation in omega as epsilon -> 0 when Fr = O(1).