Well-posedness and asymptotic stability to a laminated beam in thermoelasticity of type III
نویسندگان
چکیده
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. 2000 Mathematics Subject Classification: 35B40, 35L56, 74F05, 93D20.
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