On Uniqueness and Continuous Dependence in Nonlinear Thermoviscoelasticity

Abstract

This paper deals with the nonlinear theory of thermoviscoelasticity. A uniqueness result and the continuous dependence of solutions upon initial state and body loads are presented for heat conducting materials of the Kelvin–Voigt type.

Keywords:

• Heat conducting material
• Nonlinear theory
• Stability
• Thermoviscoelasticity
• Uniqueness

Acknowledgments

This work was supported by the CNCSIS Grant TE-184, no. 86/30.07.2010 and the POSDRU/89/1.5/49944 Project.