Global attractor for the generalized dissipative KdV equation with nonlinearity (Q539388)

The authors consider global attractors for the generalized dissipative KdV equation with nonlinearity under certain initial conditions. They prove the existence of a global attractor in the space \(H^2(\omega)\) using the decomposition method with cut-off function and the Kuratowski \(\alpha\)-measure in order to overcome the noncompactness of the classical Sobolev embedding.