Abstract.
We formulate a basic principle, called evolution principle, for a given set \(\cal P\) of physical processes. Then we consider a set \(\cal P\) 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.
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Received May 20, 1997
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Alt, H. An Evolution Principle and the Existence of Entropy. First Order Systems. Continuum Mech Thermodyn 10, 81–106 (1998). https://doi.org/10.1007/s001610050083
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DOI: https://doi.org/10.1007/s001610050083