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

2014/04/06 by Simon Axmann, Axmann, Simon, Milan Pokorny +1
Mathematics · #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:76N10

paper · pdf · doi:10.48550/arxiv.1404.1624

arxiv created 2014/04/06 · arxiv updated 2014/04/08

Abstract

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

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