Continuous datadependent results for a general theory of heat conduction in bounded and unbounded domains
Abstract
The general theory proposed by Coleman and Gurtin (1967) is considered, taking into account the anisotropic form of the theory established by Nunziato (1971). A theorem is presented with conditions which ensure that solutions of the equations governing heat flow depend continuously on the history before t = 0, the initial value of the temperature, and the heat supply per unit volume and time. The result is valid for any bounded domain of Euclidean threespace which possesses a boundary smooth enough to permit applications of the divergence theorem.
 Publication:

Quarterly of Applied Mathematics
 Pub Date:
 April 1977
 Bibcode:
 1977QApMa..35..111B
 Keywords:

 Boundary Value Problems;
 Conductive Heat Transfer;
 Diffusion Theory;
 Domains;
 Heat Flux;
 Temperature Gradients;
 Uniqueness Theorem;
 Viscoelasticity;
 Fluid Mechanics and Heat Transfer