Dissipative entropy makes the heat equation hyperbolic

Infinite disturbance speed, an undesirable feature of the standard heat equation, is usually avoided by assuming a Boltzmann-Volterra dependence of the heat influx vector on the history of the temperature gradient. It is shown in this paper how to attain the same <i>desideratum</i> by po...

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Main Author:	Paolo Podio-Guidugli
Format:	Article
Language:	English
Published:	Accademia Peloritana dei Pericolanti 2013-01-01
Series:	Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access:	http://dx.doi.org/10.1478/AAPP.91S1A15

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spelling	doaj-50ae4605a9c241138ade323223306cd92020-11-24T22:27:55ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422013-01-0191S1A1510.1478/AAPP.91S1A15Dissipative entropy makes the heat equation hyperbolicPaolo Podio-GuidugliInfinite disturbance speed, an undesirable feature of the standard heat equation, is usually avoided by assuming a Boltzmann-Volterra dependence of the heat influx vector on the history of the temperature gradient. It is shown in this paper how to attain the same <i>desideratum</i> by postulating a constitutive splitting of entropy into standard and dissipative parts.http://dx.doi.org/10.1478/AAPP.91S1A15
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Paolo Podio-Guidugli
spellingShingle	Paolo Podio-Guidugli Dissipative entropy makes the heat equation hyperbolic Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
author_facet	Paolo Podio-Guidugli
author_sort	Paolo Podio-Guidugli
title	Dissipative entropy makes the heat equation hyperbolic
title_short	Dissipative entropy makes the heat equation hyperbolic
title_full	Dissipative entropy makes the heat equation hyperbolic
title_fullStr	Dissipative entropy makes the heat equation hyperbolic
title_full_unstemmed	Dissipative entropy makes the heat equation hyperbolic
title_sort	dissipative entropy makes the heat equation hyperbolic
publisher	Accademia Peloritana dei Pericolanti
series	Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn	0365-0359 1825-1242
publishDate	2013-01-01
description	Infinite disturbance speed, an undesirable feature of the standard heat equation, is usually avoided by assuming a Boltzmann-Volterra dependence of the heat influx vector on the history of the temperature gradient. It is shown in this paper how to attain the same <i>desideratum</i> by postulating a constitutive splitting of entropy into standard and dissipative parts.
url	http://dx.doi.org/10.1478/AAPP.91S1A15
work_keys_str_mv	AT paolopodioguidugli dissipativeentropymakestheheatequationhyperbolic
_version_	1725748342107930624

Dissipative entropy makes the heat equation hyperbolic

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