Abstract
In this paper we prove the global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially. Moreover, the global solution, together with its the third-order full energy, is exponentially stable for any t > 0.
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Qin, Y., Muñoz Rivera, J.E. Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type. J Elasticity 75, 125–145 (2005). https://doi.org/10.1007/s10659-005-4332-0
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DOI: https://doi.org/10.1007/s10659-005-4332-0
Key words
- nonlinear hyperbolic thermoelasticity
- global existence
- exponential stability
- strongly positive definite kernel