| Abstract: |
| In this talk, we are concerned with the stability of exponential attractors for a family of semilinear wave equations with gentle dissipation: $u_{tt}-\Delta u+\gamma(-\Delta)^{\alpha} u_{t}+f(u)=g(x)$, with $\alpha\in (0,1/2)$. (i) We propose a new criterion on the existence and stability of a family of exponential attractors depending on the perturbation parameters. (ii) By applying this criterion to the equations, we construct a family of exponential attractors $\mathcal{A}^\alpha_{exp}$ and show their stability on the dissipative exponent $\alpha$. |
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