Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations. (20th July 2009)

• Record Type: Journal Article
• Authors: Wu, Delin
• Other Names: Zhou Yong Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2009(2009)
• Publication Date: 2009-07-20
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2009/952657
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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 ) ∈ L loc 2 ( ( 0, T ) ; D ( A − 1 / 2 ) ), we establish the existence of the uniform attractors in D ( A 1 / 2 ) and D ( A ) . The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.