A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients

Abstract

We consider a complete thermodynamic model for unsteady flows of incompressible homogeneous heat conducting Newtonian fluids in a fixed bounded three-dimensional domain. For such a model we establised the existence of suitable weak solution for Navier's slip boundary condtions.

Keywords

• Navier-Stokes-Fourier
• system
• incompressible
• fluids
• temperature
• dependent
• material
• coefficients