The Pullback Attractors for the Nonautonomous Camassa-Holm Equations

الملخص EN

We consider the pullback attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,L]3.

Assuming f∈Lloc2((0,T);D(A−1/2)), which is translation bounded, the existence of the pullback attractor for the three-dimensional nonautonomous Camassa-Holm system is proved in D(A1/2) and D(A).