| Contents |
| We compare the asymptotic structure of the time-dependent attractor $A_t$
generated by the partial differential equation
$$\eps u_{tt}+ \alpha u_t-\Delta u+f(u)=g,$$
where the positive function $\eps=\eps(t)$ tends to zero as $t\to\infty$,
with the global attractor $A_\infty$ of its formal limit
$$\alpha u_t-\Delta u+f(u)=g.$$
We establish an abstract result and we apply it to the proof of the convergence
$A_t\to A_\infty$. |
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