Time-periodic solutions to the full Navier--Stokes--Fourier system with   radiation on the boundary
  The Navier-Stokes-Fourier system is a well established model for describing the motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak solutions and improve the known result in the following sense: we extend the class of pressure functions (i.e. consider lower exponent $\gamma$) and include also the effect of radiation on the boundary. 
Simon Axmann and Milan Pokorny
math.AP