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 gamma) and include also the effect of radiation on the boundary.

Keywords

• Compressible Navier-Stokes-Fourier system
• Time-periodic solutions
• Large data
• Weak solution