Dissipative entropy makes the heat equation hyperbolic

Paolo Podio-Guidugli

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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DOI: http://dx.doi.org/10.1478/AAPP.91S1A15