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Stability properties of an abstract system with applications to linear thermoelastic plates |
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| Authors: | Filippo Dell’Oro Jaime E Muñoz Rivera Vittorino Pata |
| Institution: | 1. Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Via Bonardi 9, 20133, Milan, Italy 2. National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitadinha-Petrópolis, Rio de Janeiro, RJ, 25651-070, Brazil 3. Av. Horácio Macedo, Centro de Tecnologia,Instituto de Matemática-UFRJ, Cidade Universitária-Ilha do Fund?o, Rio de Janeiro, RJ, 21941-972, Brazil |
| Abstract: | This paper deals with an abstract version of the evolution system $$\left\{\begin{array}{ll}u_{tt}-\omega \Delta u_{tt}+\Delta (\Delta u + \theta)=0 \\\theta_t - \Delta \theta -\Delta u_t=0\end{array}\right.$$ with ω ≥ 0, ruling the dynamics of linear thermoelastic plates. In particular, we will consider a more general coupling term depending on a real parameter σ. The (exponential and polynomial) decay properties of the related solution semigroup are investigated in dependence of the values of σ. |
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