A TEMPERATURE DEPENDENT DELAY TIME MODEL FOR A MAXWELL-CATTANEO SYSTEM

Authors

Isom H. Herron, Rensselaer Polytechic Institute, Troy, NY 12180Follow

Abstract

The classical heat conduction equation in one-space dimension does not have the property of a finite speed of information transfer. Maxwell found an extension of the equation, which Cattaneo also obtained by generalizing the Fourier law of heat conduction. In this work, using a modeling idea of R. E. Mickens, the delay time which Cattaneo defined, is taken to be dependent on temperature. The resulting generalized non-linear Cattaneo system is analyzed. It is shown to support the existence of traveling waves moving from a higher to a lower temperature environment which is a thermodynamically satisfying result.

Acknowledgements

Clark Atlanta University Library

Recommended Citation

Herron, Isom H. (2026) "A TEMPERATURE DEPENDENT DELAY TIME MODEL FOR A MAXWELL-CATTANEO SYSTEM," Georgia Journal of Science, Vol. 84, No. 1, Article 91.
Available at: https://digitalcommons.gaacademy.org/gjs/vol84/iss1/91