| Autor: |
Bocanegra-Rodríguez, Lito Edinson, Silva, Marcio Antonio Jorge, Ma, To Fu, Seminario-Huertas, Paulo Nicanor |
| Předmět: |
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| Zdroj: |
Journal of Dynamics & Differential Equations; Jun2023, Vol. 35 Issue 2, p1435-1456, 22p |
| Abstrakt: |
This paper is concerned with longtime dynamics of semilinear Lamé systems ∂ t 2 u - μ Δ u - (λ + μ) ∇ div u + α ∂ t u + f (u) = b , defined in bounded domains of R 3 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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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