Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity

Zai-yun Zhang and Zhen-hai Liu

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-21

Abstract:

We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition . We prove existence of a global attractor in space , by using decomposition method with cut-off function and Kuratowski -measure in order to overcome the noncompactness of the classical Sobolev embedding.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:725045

DOI: 10.1155/2011/725045

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