Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

الملخص EN

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−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.