Living Reference Work Entry

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

pp 1-27

Date: Latest Version

Concepts of Solutions in the Thermodynamics of Compressible Fluids

  • Eduard FeireislAffiliated withEvolution Differential Equations (EDE), Academy of Sciences of the Czech Republic, Institute of Mathematics Email author 


The objective of this chapter is to highlight the recent development of the mathematical theory of complete fluids. The word complete means the governing system of equations is rich enough to incorporate the basic physical principles, in particular the first, second, and third laws of thermodynamics, in a correct and integral way into the mathematical model. In the whole text, the platform of classical continuum mechanics is adopted, where the fluid motion is described in terms of observable macroscopic quantities: the mass density, the (absolute) temperature, and the (bulk) velocity.