# Longtime dynamics of a semilinear Lam\'e system

15 May 2020 Bocanegra-Rodríguez Lito E. Ma To Fu Seminario-Huertas Paulo N. Silva Marcio Antonio Jorge

This paper is concerned with longtime dynamics of semilinear Lam\'e systems $$\partial^2_t u - \mu \Delta u - (\lambda + \mu) \nabla {\rm div} u + \alpha \partial_t u + f(u) = 0,$$ defined in bounded domains of $\mathbb{R}^3$ with Dirichlet boundary condition. Firstly, we establish the existence of finite dimensional global attractors subjected to critical forcings $f(u)$... (read more)

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