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Global existence and exponential stability for a contact problem between two thermoelastic beams |
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| Authors: | Giovanna Bonfanti Maria Grazia Naso |
| Institution: | a Dipartimento di Matematica, Facoltà di Ingegneria, Università di Brescia Via Valotti 9, 25133 Brescia, Italy b National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitadinha-Petrópolis 25651-070, Rio de Janeiro, RJ, Brazil c Instituto de Matemática - UFRJ, Av. Horácio Macedo, Centro de Tecnologia, Cidade Universitária - Ilha do Fundão 21941-972, Rio de Janeiro, RJ, Brazil |
| Abstract: | In this paper we analyze a dynamic unilateral contact problem between two thermoelastic beams. We establish the existence of a weak global-in-time solution, by a penalization method. Moreover, we study the asymptotic behavior of such a solution proving that the energy associated to the system decays exponentially to zero, as time goes to infinity. |
| Keywords: | Thermoelastic beam Signorini condition Contact Asymptotic behavior |
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