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Discrete & Continuous Dynamical Systems - B
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arXiv.org e-Print Archive
Preprint . 2017
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Discrete & Continuous Dynamical Systems - B
Article . 2019 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2017
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https://dx.doi.org/10.3934/dcd...
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2019Embargo end date: 01 Jan 2017 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete & Continuous Dynamical Systems - B, volume 24, pages 3,525-3,535 (issn: 1553-524X, Copyright policy )
Authors: Cui, Hongyong;

doi: 10.3934/dcdsb.2018276 , 10.48550/arxiv.1711.08556

arXiv: 1711.08556

Convergences of asymptotically autonomous pullback attractors towards semigroup attractors

Abstract

For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature. Both forward convergence and backward convergence are studied.

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Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 35B40, 35B41, 37L30, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
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gold