Finite Dimensional Uniform Attractors for the Nonautonomous Camassa‐Holm Equations

Delin Wu

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: We consider the uniform attractors for the three‐dimensional nonautonomous Camassa‐Holm equations in the periodic box Ω = [0,L]3. Assuming f=f(x,t)∈Lloc2((0,T);D(A−12/)), 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.

Date: 2009
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https://doi.org/10.1155/2009/952657

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:952657

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