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Entropy 2008, 10(3), 319-333; doi:10.3390/e10030319
Article

The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics

Received: 3 May 2008; Accepted: 4 September 2008 / Published: 24 September 2008
Download PDF [224 KB, uploaded 28 September 2008]
Abstract: 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.
Keywords: Entropy Principle; Non-Equilibrium Thermodynamics; Hyperbolic Systems of Balance Laws Entropy Principle; Non-Equilibrium Thermodynamics; Hyperbolic Systems of Balance Laws
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Ruggeri, T. The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics. Entropy 2008, 10, 319-333.

AMA Style

Ruggeri T. The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics. Entropy. 2008; 10(3):319-333.

Chicago/Turabian Style

Ruggeri, Tommaso. 2008. "The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics." Entropy 10, no. 3: 319-333.


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