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Energy decay rate of a mixed type II and type III thermoelastic system

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  • In this paper, we study the energy decay rate for a mixed type II and type III thermoelastic system. The system consists of a wave equation and a heat equation of type III in one part of the domain; a wave equation and a heat equation of type II in another part of the domain, coupled in certain pattern. When the damping coefficient function satisfies certain conditions at the interface, a polynomial type decay rate is obtained. This result is proved by verifying the frequency domain conditions.
    Mathematics Subject Classification: Primary: 35Q70, 35B40; Secondary: 74F05.

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