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Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation

Exponential attractor for lattice system of nonlinear Boussinesq equation
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,013, pages 1-6 (issn: 1026-0226, eissn: 1607-887X, Copyright policy )
Authors: Min Zhao; Shengfan Zhou;

doi: 10.1155/2013/869621

Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation

Abstract

We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system. Then, we provide an estimation of the tail of the difference between two solutions of the system. Finally, we obtain the existence of an exponential attractor of the system.

Related Organizations
Keywords

QA1-939, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Mathematics

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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!
1
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