Abstract
In this work we study the continuity for the family of global attractors of the equations $u_{tt}-\Delta u-\Delta u_t-\varepsilon \Delta u_{tt}=f(u)$ at $\varepsilon=0$ when $\Omega$ is a bounded smooth domain of $\mathbb{R}^n$, with $n\geq 3$, and the nonlinearity $f$ satisfies a subcritical growth condition. Also, we obtain an uniform bound for the fractal dimension of these global attractors.
Citation
Matheus C. Bortolan. Alexandre N. Carvalho. "Strongly damped wave equation and its Yosida approximations." Topol. Methods Nonlinear Anal. 46 (2) 563 - 602, 2015. https://doi.org/10.12775/TMNA.2015.059