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

Grasselli, M., Munoz Rivera, J. E., Squassina, M., Asymptotic behavior of a thermoviscoelastic plate with memory effects, <<ASYMPTOTIC ANALYSIS>>, 2009; 63 (N/A): 55-84 [http://hdl.handle.net/10807/90745]

Asymptotic behavior of a thermoviscoelastic plate with memory effects

Squassina, Marco
Ultimo
2009

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
Inglese
Grasselli, M., Munoz Rivera, J. E., Squassina, M., Asymptotic behavior of a thermoviscoelastic plate with memory effects, <<ASYMPTOTIC ANALYSIS>>, 2009; 63 (N/A): 55-84 [http://hdl.handle.net/10807/90745]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/90745
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