The entropy principle: from continuum mechanics to hyperbolic systems of balance laws

Tommaso Ruggeri

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 1, page 1-20
  • ISSN: 0392-4041

Abstract

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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. At the end we give some recent results on closure procedure for the moments theory associated to the Boltzmann equation (Extended Thermodynamics).

How to cite

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Ruggeri, Tommaso. "The entropy principle: from continuum mechanics to hyperbolic systems of balance laws." Bollettino dell'Unione Matematica Italiana 8-B.1 (2005): 1-20. <http://eudml.org/doc/196153>.

@article{Ruggeri2005,
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. At the end we give some recent results on closure procedure for the moments theory associated to the Boltzmann equation (Extended Thermodynamics).},
author = {Ruggeri, Tommaso},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {1-20},
publisher = {Unione Matematica Italiana},
title = {The entropy principle: from continuum mechanics to hyperbolic systems of balance laws},
url = {http://eudml.org/doc/196153},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Ruggeri, Tommaso
TI - The entropy principle: from continuum mechanics to hyperbolic systems of balance laws
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/2//
PB - Unione Matematica Italiana
VL - 8-B
IS - 1
SP - 1
EP - 20
AB - 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).
LA - eng
UR - http://eudml.org/doc/196153
ER -

References

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