Zhang, Zai-Yun; Liu, Zhen-Hai Global attractor for the generalized dissipative KdV equation with nonlinearity. (English) Zbl 1225.35210 Int. J. Math. Math. Sci. 2011, Article ID 725045, 21 p. (2011). 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. Reviewer: Chuan-Fu Yang (Nanjing) Cited in 5 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems 35B41 Attractors Keywords:generalized dissipative KdV equation; global attractor; cut-off function; Kuratowski \(\alpha\)-measure PDFBibTeX XMLCite \textit{Z.-Y. Zhang} and \textit{Z.-H. Liu}, Int. 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