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We consider the compressible Navier-Stokes-Fourier system on time-dependentdomains with prescribed motion of the boundary, supplemented with slip boundaryconditions for the velocity. Assuming that the pressure can be decomposed intoan elastic part and a thermal part, we prove global-in-time existence of weaksolutions. Our approach is based on the penalization of the boundary behavior,viscosity, and the pressure in the weak formulation. Moreover, the thermalenergy equation is in the weak formulation replaced by the thermal energyinequality complemented with the global total energy inequality. In theapproximation scheme the thermal energy inequality is consider to be satisfiedin the renormalized sense.

Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains