The Uniform Attractors for the Nonhomogeneous 2D Navier-Stokes Equations in Some Unbounded Domain. (3rd February 2008)

• Record Type: Journal Article
• Authors: Wu, Delin
• Other Names: Temam Roger Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2008-02-03
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2008/831746
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We consider the attractors for the two-dimensional nonautonomous Navier-Stokes equations in some unbounded domainΩ with nonhomogeneous boundary conditions. We apply the so-called uniformlyω -limit compact approach to nonhomogeneous Navier-Stokes equation as well as a method to verify it. Assumingf ∈ L loc 2 ( ( 0, T ) ; L 2 ( Ω ) ), which is translation compact andφ ∈ C b 1 ( ℝ + ; H 2 ( ℝ 1 × { ± L } ) ) asymptotically almost periodic, we establish the existence of the uniform attractor inH 1 (Ω ).