Artículo
Attractors for locally damped Bresse systems and a unique continuation property
Autor/es | Ma, To Fu
Monteiro, N. Seminario Huertas, Paulo Nicanor |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-02-24 |
Fecha de depósito | 2023-01-31 |
Publicado en |
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Resumen | This paper is devoted to Bresse systems, a robust model for circular beams, given by
a set of three coupled wave equations. The main objective is to establish the existence of
global attractors for dynamics of semilinear ... This paper is devoted to Bresse systems, a robust model for circular beams, given by a set of three coupled wave equations. The main objective is to establish the existence of global attractors for dynamics of semilinear problems with localized damping. In order to deal with localized damping a unique continuation property (UCP) is needed. Therefore we also provide a suitable UCP for Bresse systems. Our strategy is to set the problem in a Riemannian geometry framework and see the system as a single equation with different Riemann metrics. Then we perform Carleman-type estimates to get our result. |
Cita | Ma, T.F., Monteiro, N. y Seminario Huertas, P.N. (2021). Attractors for locally damped Bresse systems and a unique continuation property. https://doi.org/10.48550/arXiv.2102.12025. |
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