Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

Author

Wu, Delin

Source

Abstract and Applied Analysis

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-08-06

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω=[0,L]3.

Assuming f=f(x,t)∈Lloc2((0,T);D(A−1/2)), we establish the existence of the uniform attractors in D(A1/2) and D(A).

The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

American Psychological Association (APA)

Wu, Delin. 2009. Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-510976

Modern Language Association (MLA)

Wu, Delin. Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations. Abstract and Applied Analysis No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-510976

American Medical Association (AMA)

Wu, Delin. Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-510976

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-510976