TITLE

Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

AUTHOR(S)
Wu, Delin
PUB. DATE
January 2009
SOURCE
Abstract & Applied Analysis;2009, Special section p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Î© = [0, L]3. Assuming f = f(x, t) âˆˆ L2 loc((0, T);D(Aâˆ’1/2)), we establish the existence of the uniform attractors in D(A1/2) and D(A). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.
ACCESSION #
55252849

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