1. Nonlinear Hyperbolic Heat Conduction Problem: Closed-Form Solutions.
- Author
-
Ignaczak, Józef
- Subjects
- *
HEAT conduction , *ENTROPY , *PARTIAL differential equations , *CAUCHY problem , *CONSTRUCTION laws , *THERMODYNAMICS - Abstract
A nonlinear rigid heat conductor obeying the first and second laws of thermodynamics, Cattaneo's law, and a generalized energy-entropy relation in which both the energy and entropy are parabolic functions of the heat flux, is revisited. For a one-dimensional Cauchy problem in which both the temperature and heat flux are time-dependent only, a solution in terms of elementary functions is obtained. Also, for a one-dimensional traveling wave problem, a solution in terms of elementary functions is presented. Graphs illustrating the solutions are included. [ABSTRACT FROM AUTHOR]
- Published
- 2006
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