The entropy principle from continuum mechanics to hyperbolic systems of balance laws: the modern theory of extended thermodynamics
type: Item
instance of: scholarly article
title: The entropy principle from continuum mechanics to hyperbolic systems of balance laws: the modern theory of extended thermodynamics
zbMATH Open document ID: 1179.82004
published in: Entropy
publication date: 2010-01-29T00:00:00Z
review text: Summary: We discuss the different roles of the entropy principle in modern thermodynamics. We start with the approach of rational thermodynamics in which the entropy principle becomes a selection rule for physical constitutive equations. Then we discuss the entropy principle for selecting admissible discontinuous weak solutions and to symmetrize general systems of hyperbolic balance laws. A particular attention is given on the local and global well-posedness of the relative Cauchy problem for smooth solutions. Examples are given in the case of extended thermodynamics for rarefied gases and in the case of a multi-temperature mixture of fluids.
Mathematics Subject Classification ID: 82-03
zbMATH DE Number: 5664136
zbMATH Keywords: entropy principle
zbMATH Keywords: non-equilibrium thermodynamics
zbMATH Keywords: hyperbolic systems of balance laws
author: Tomasso Ruggeri
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e10030319
OpenAlex ID: W2132032898
DOI: 10.3390/E10030319
description: scientific article; zbMATH DE number 5664136