On a supplementary conservation law for a hyperbolic model of heat conductor

Mariano Torrisi; Antonino Valenti

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 2, page 171-176
  • ISSN: 1120-6330

Abstract

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In the context of the wave propagation theory in nonlinear hyperbolic systems, we analyse, in the case of a rigid heat conductor, the model proposed by G. Grioli. After introducing the constitutive relations according to the point of view of the extended thermodynamics, we look for the compatibility of the governing equations with a supplementary conservation law. We obtain the functional form of the constitutive quantities and we are able to show that the governing equations may be written in symmetric and conservative form so that the Cauchy problem results well posed.

How to cite

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Torrisi, Mariano, and Valenti, Antonino. "On a supplementary conservation law for a hyperbolic model of heat conductor." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.2 (1990): 171-176. <http://eudml.org/doc/244305>.

@article{Torrisi1990,
abstract = {In the context of the wave propagation theory in nonlinear hyperbolic systems, we analyse, in the case of a rigid heat conductor, the model proposed by G. Grioli. After introducing the constitutive relations according to the point of view of the extended thermodynamics, we look for the compatibility of the governing equations with a supplementary conservation law. We obtain the functional form of the constitutive quantities and we are able to show that the governing equations may be written in symmetric and conservative form so that the Cauchy problem results well posed.},
author = {Torrisi, Mariano, Valenti, Antonino},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Thermodynamics; Hyperbolic systems; Convexity; entropy principle},
language = {eng},
month = {5},
number = {2},
pages = {171-176},
publisher = {Accademia Nazionale dei Lincei},
title = {On a supplementary conservation law for a hyperbolic model of heat conductor},
url = {http://eudml.org/doc/244305},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Torrisi, Mariano
AU - Valenti, Antonino
TI - On a supplementary conservation law for a hyperbolic model of heat conductor
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/5//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 2
SP - 171
EP - 176
AB - In the context of the wave propagation theory in nonlinear hyperbolic systems, we analyse, in the case of a rigid heat conductor, the model proposed by G. Grioli. After introducing the constitutive relations according to the point of view of the extended thermodynamics, we look for the compatibility of the governing equations with a supplementary conservation law. We obtain the functional form of the constitutive quantities and we are able to show that the governing equations may be written in symmetric and conservative form so that the Cauchy problem results well posed.
LA - eng
KW - Thermodynamics; Hyperbolic systems; Convexity; entropy principle
UR - http://eudml.org/doc/244305
ER -

References

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