Open AccessGlobal Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
Author(s) -
Zaiyun Zhang,
Zhenhai Liu
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/725045
Subject(s) - algorithm , computer science
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 noncompactness of the classical Sobolev embedding
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