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On Growth and Continuous Dependence in Thermoelasticity with Microtemperatures

This paper is concerned with the linear theory of thermoelasticity with microtemperatures. Our main aim is to show how the logarithmic convexity arguments can be used in this theory. Results concerning uniqueness, instability and structural stability are consequences of the use of this method in the proposed thermomechanical theory. The main difficulty is the fact that the thermal and microthermal parts of the system of field equations do not define a self-adjoin problem. However the use of suitable weights permits to save the difficulties.