文章基本信息

标题：Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
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作者：Zai-yun Zhang ; Zhen-hai Liu
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/725045
出版社：Hindawi Publishing Corporation
摘要：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 Kuratowski 𝛼-measure in order to overcome the noncompactness of the classical Sobolev embedding.