Geodesic
Regular attractors and nonautonomous perturbations of them
Sbornik. Mathematics, Tome 204 (2013) no. 1, pp. 1-42

Voir la notice de l'article provenant de la source Math-Net.Ru

We study regular global attractors of dissipative dynamical semigroups with discrete or continuous time and we investigate attractors for nonautonomous perturbations of such semigroups. The main theorem states that the regularity of global attractors is preserved under small nonautonomous perturbations. Moreover, nonautonomous regular global attractors remain exponential and robust. We apply these general results to model nonautonomous reaction-diffusion systems in a bounded domain of $\mathbb R^3$ with time-dependent external forces. Bibliography: 22 titles.
Keywords: dynamical semigroups and processes, regular attractors, uniform attractors, pullback attractors. 
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M. I. Vishik; S. V. Zelik; V. V. Chepyzhov. Regular attractors and nonautonomous perturbations of them. Sbornik. Mathematics, Tome 204 (2013) no. 1, pp. 1-42. http://geodesic.mathdoc.fr/item/SM_2013_204_1_a0/