Journal of Applied Mathematics

Exponential Attractor for a First-Order Dissipative Lattice Dynamical System

Xiaoming Fan

Source: J. Appl. Math. Volume 2008 (2008), 8 pages.

Abstract

We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ${\mathbb{R}}^{k}$. And we obtain fractal dimension of the exponential attractor.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jam/1220969293
Digital Object Identifier: doi:10.1155/2008/354652
Mathematical Reviews number (MathSciNet): MR2399310
Zentralblatt MATH identifier: 1144.37036


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