On the linear theory of heat conduction for materials with memory
Abstract
The linear theory of rigid conductors of heat composed of materials with memory is analyzed under assumptions consistent with the theory of Coleman and Gurtin. Under these assumptions, the resulting integro-differential equation is shown to be parabolic modulo a trivial hyperbolic part. An existence and uniqueness theorem follows.
- Publication:
-
SIAM Journal of Mathematical Analysis
- Pub Date:
- February 1978
- Bibcode:
- 1978SJMA....9...49D
- Keywords:
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- Conductive Heat Transfer;
- Plastic Memory;
- Thermal Conductors;
- Hyperbolic Functions;
- Parabolic Differential Equations;
- Rigid Structures;
- Fluid Mechanics and Heat Transfer