Finite dimensional uniform attractors for the nonautonomous Camassa-Holm equations (Q1035086)

Summary: We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box \(\Omega=[0,L]^3\). Assuming \(f= f(x,t)\in L_{\text{loc}}^2((0,T);D(A^{-1/2}))\), 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.