Dissipative entropy makes the heat equation hyperbolic

Paolo Podio-Guidugli


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.

Full Text:


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

Copyright (c) 2015 AAPP | Physical, Mathematical, and Natural Sciences