Submitted:
07 January 2018
Posted:
16 January 2018
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Abstract
In this paper, we study the well-posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. We first give the well-posedness of the system by using the semigroup method. Then, we show that the system is exponentially stable under the assumption of equal wave speeds. Furthermore, it is proved that the system is lack of exponential stability for case of nonequal wave speeds. In this regard, a polynomial stability result is proved.
Keywords:
laminated beam
; thermoelasticity of type III
; exponential decay
; polynomial decay
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