Concepts of Solutions in the Thermodynamics of Compressible Fluids

Eduard Feireisl ()
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Eduard Feireisl: Institute of Mathematics, Academy of Sciences of the Czech Republic, Evolution Differential Equations (EDE)

Chapter 28 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 1353-1379 from Springer

Abstract: Abstract 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.

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_31

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