Abstract:
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 R3 with time-dependent external forces.
Bibliography: 22 titles.
\Bibitem{VisZelChe13}
\by M.~I.~Vishik, S.~V.~Zelik, V.~V.~Chepyzhov
\paper Regular attractors and nonautonomous perturbations of them
\jour Sb. Math.
\yr 2013
\vol 204
\issue 1
\pages 1--42
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This publication is cited in the following 26 articles:
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