Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity

Joint Authors

Liu, Zhen Hai
Zhang, Zai-yun

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-05-03

Country of Publication

Egypt

No. of Pages

21

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Zai-yun& Liu, Zhen Hai. 2011. Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-493596

Modern Language Association (MLA)

Zhang, Zai-yun& Liu, Zhen Hai. Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-493596

American Medical Association (AMA)

Zhang, Zai-yun& Liu, Zhen Hai. Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-493596

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-493596