Geodesic
The entropy principle: from continuum mechanics to hyperbolic systems of balance laws
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 1-20

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. At the end we give some recent results on closure procedure for the moments theory associated to the Boltzmann equation (Extended Thermodynamics). 
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     author = {Ruggeri, Tommaso},
     title = {The entropy principle: from continuum mechanics to hyperbolic systems of balance laws},
     journal = {Bollettino della Unione matematica italiana},
     pages = {1--20},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {1},
     year = {2005},
     zbl = {1150.80001},
     mrnumber = {MR2122973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a0/}
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Ruggeri, Tommaso. The entropy principle: from continuum mechanics to hyperbolic systems of balance laws. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 1, pp. 1-20. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_1_a0/