Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Omega = [0, L](3). Assuming f = f( x, t) is an element of L(loc)(2) ((0, T); D(A(-1/2))), we establish the existence of the uniform attractors in D(A(1/2)) and D(A). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained. Copyright (C) 2009 Delin Wu.