The Transmission Problem to Thermoelastic Plate of Hyperbolic Type
نویسندگان
چکیده
In this paper we consider the thermoelastic plate equation with localized thermal dissipation of memory type, proposed by Gurtin and Pipkin [3]. We will show that the solution of the corresponding model decays exponentially as time goes to infinity, provided the relaxation function decays exponentially. The mean difference with others thermoelastic system is that the whole system is of hyperbolic type, and the dissipation is weaker (indefinite) than such given by the Fourier Law for the heat transmission.
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