  We consider the compressible Navier-Stokes-Fourier system on time-dependent
domains with prescribed motion of the boundary, supplemented with slip boundary
conditions for the velocity. Assuming that the pressure can be decomposed into
an elastic part and a thermal part, we prove global-in-time existence of weak
solutions. Our approach is based on the penalization of the boundary behavior,
viscosity, and the pressure in the weak formulation. Moreover, the thermal
energy equation is in the weak formulation replaced by the thermal energy
inequality complemented with the global total energy inequality. In the
approximation scheme the thermal energy inequality is consider to be satisfied
in the renormalized sense.
