Artículo
Longtime Dynamics of a Semilinear Lamé System
Autor/es | Bocanegra Rodríguez, Lito Edinson
Jorge Silva, Marcio Antonio Ma, To Fu Seminario Huertas, Paulo Nicanor |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-02-06 |
Fecha de depósito | 2023-01-31 |
Publicado en |
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Resumen | This paper is concerned with longtime dynamics of semilinear Lamé systems
∂2
t u − μ u − (λ + μ)∇divu + α∂tu + f (u) = b,
defined in bounded domains ofR3 with Dirichlet boundary condition. Firstly,we establish the
existence ... This paper is concerned with longtime dynamics of semilinear Lamé systems ∂2 t u − μ u − (λ + μ)∇divu + α∂tu + f (u) = b, defined in bounded domains ofR3 with Dirichlet boundary condition. Firstly,we establish the existence of finite dimensional global attractors subjected to a critical forcing f (u).Writing λ + μ as a positive parameter ε, we discuss some physical aspects of the limit case ε → 0. Then, we show the upper-semicontinuity of attractors with respect to the parameter when ε → 0. To our best knowledge, the analysis of attractors for dynamics of Lamé systems has not been studied before. |
Cita | Bocanegra Rodríguez, L.E., Jorge Silva, M.A., Ma, T.F. y Seminario Huertas, P.N. (2021). Longtime Dynamics of a Semilinear Lamé System. Journal of dynamics and differential equations. https://doi.org/10.1007/s10884-021-09955-7. |
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