Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

Wu, Delin
January 2009
Abstract & Applied Analysis;2009, Special section p1
Academic Journal
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) ∈ L2 loc((0, T);D(A−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.


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