Journal
ENTROPY
Volume 10, Issue 3, Pages 319-333Publisher
MDPI
DOI: 10.3390/e10030319
Keywords
Entropy Principle; Non-Equilibrium Thermodynamics; Hyperbolic Systems of Balance Laws
Categories
Funding
- fondi MIUR Progetto di interesse Nazionale Problemi Matematici Non Lineari di Propagazione e Stabilita nei Modelli del Continuo Coordinatore T. Ruggeri
- GNFM-INdAM
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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.
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