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 desideratum by postulating a constit...

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Veröffentlicht in:Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali mat. e naturali, 2013-01, Vol.91 (S1), p.A15
1. Verfasser: Paolo Podio-Guidugli
Format: Artikel
Sprache:eng
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Zusammenfassung: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 desideratum by postulating a constitutive splitting of entropy into standard and dissipative parts.
ISSN:0365-0359
1825-1242
DOI:10.1478/AAPP.91S1A15