Time-periodic solutions to the full Navier–Stokes–Fourier system with radiation on the boundary

Abstract

The Navier–Stokes–Fourier system is a well established model to describe motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak solutions and improve the result from [4] in the following sense: we extend the class of pressure functions (id est, consider lower exponent γ) and include also the effect of radiation on the boundary.