An evolution principle and the existence of entropy. First order systems

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Abstract

We formulate a basic principle, called evolution principle, for a given set ℘ of physical processes. Then we consider a set ℘ given by solutions of first order systems without reaction terms. We show that for strictly hyperbolic systems and for the Euler system the evolution principle is equivalent to the entropy principle.

Original languageEnglish
Pages (from-to)81-106
Number of pages26
JournalContinuum Mechanics and Thermodynamics
Volume10
Issue number2
DOIs
StatePublished - Apr 1998
Externally publishedYes

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