JournalszaaVol. 24 , No. 1DOI 10.4171/zaa/1230

On a Class of Physically Admissible Variational Solutions to the Navier-Stokes-Fourier System

  • M. Fabian

    Czech Academy of Sciences, Prague, Czech Republic
  • Hana Petzeltová

    Czech Academy of Sciences, Prague, Czech Republic
  • Antonín Novotný

    Université de Toulon et du Var, La Garde, France
On a Class of Physically Admissible Variational Solutions to the Navier-Stokes-Fourier System cover

Abstract

The main objective of the present paper is to introduce a class of admissible variational solutions to the Navier-Stokes-Fourier system of equations based on the second law of thermodynamics. We also show that the solutions exist globally in time regardless the size of the initial data. Finally, the question of the long-time behaviour of these solutions is being addressed.