Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity

We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and Kuratowskiα-measure in order to overcome the noncompac...

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Bibliographic Details
Main Authors: Zai-yun Zhang, Zhen-hai Liu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/725045