Continuity of selected pullback attractors

Rodrigo A. Samprogna () and Jacson Simsen ()
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Rodrigo A. Samprogna: Universidade Federal de Alfenas
Jacson Simsen: Universidade Federal de Itajubá

Partial Differential Equations and Applications, 2021, vol. 2, issue 2, 1-16

Abstract: Abstract In this work we obtain theoretical results on continuity of selected pullback attractors for a generalized process and consider the continuity of attractors when the system is asymptotically autonomous. As an example, we apply the theory on a nonautonomous problem with reaction diffusion equations with dynamical boundary conditions, after that, with some additional hypotheses we consider the family of problems converging to autonomous limit problem and show the convergence of their attractors.

Keywords: Selected pullback attractors; Continuity of attractors; Reaction–diffusion equations; Dynamic boundary conditions; Primary 35B41; 35K55; 35K57; Secondary 35B40; 35K92 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00088-6

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