Use este identificador para citar ou linkar para este item:
https://locus.ufv.br//handle/123456789/22045
Tipo: | Artigo |
Título: | Non-Homogeneous Thermoelastic Timoshenko Systems |
Autor(es): | Alves, M. S. Silva, M. A. Jorge Ma, T. F. Rivera, J. E. Muñoz |
Abstract: | The well-established Timoshenko system is characterized by a particular relation between shear stress and bending moment from its constitutive equations. Accordingly, a (thermal) dissipation added on the bending moment produces exponential stability if and only if the so called “equal wave speeds” condition is satisfied. This remarkable property extends to the case of non-homogeneous coefficients. In this paper, we consider a non-homogeneous thermoelastic system with dissipation restricted to the shear stress. To this new problem, by means of a delicate control observability analysis, we prove that a local version of the equal wave speeds condition is sufficient for the exponential stability of the system. Otherwise, we study the polynomial stability of the system with decay rate depending on the regularity of initial data. |
Palavras-chave: | Timoshenko systems Thermoelasticity Non-homogeneous coefficients Exponential stability Polynomial stability |
Editor: | Bulletin of the Brazilian Mathematical Society, New Series |
Tipo de Acesso: | Springer Berlin Heidelberg |
URI: | https://doi.org/10.1007/s00574-017-0030-3 http://www.locus.ufv.br/handle/123456789/22045 |
Data do documento: | Set-2017 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
---|---|---|---|---|
artigo.pdf Until 2100-12-31 | Texto completo | 615,95 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.