Dissipative entropy makes the heat equation hyperbolic

Authors

  • Paolo Podio-Guidugli Università degli Studi di Roma Tor Vergata Dipartimento di Ingegneria Civile

DOI:

https://doi.org/10.1478/AAPP.91S1A15

Abstract

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.

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Published

2013-01-29

Issue

Section

Special issue in memory of Prof. Giovanni Crupi