Abstract
We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. The system consists
of a hyperbolic integrodifferential equation, governing the temperature, which is linearly coupled with the partial differential
equation ruling the evolution of the vertical deflection, presenting a convolution term accounting for memory effects. It
is also assumed that the thermal power contains a memory term characterized by a relaxation kernel. We prove that the system
is exponentially stable and we obtain a closeness estimate between the system with memory effects and the corresponding
memory-free limiting system, as the kernels fade in a suitable sense
Lingua originale | English |
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pagine (da-a) | 55-84 |
Numero di pagine | 30 |
Rivista | Asymptotic Analysis |
Volume | 63 |
Stato di pubblicazione | Pubblicato - 2009 |
Keywords
- thermoviscoelastic plate