The Long-Time Behavior of 2D Nonautonomous g -Navier-Stokes Equations with Weak Dampness and Time Delay

Author:

Wang Xiaoxia1ORCID,Jiang Jinping1

Affiliation:

1. College of Mathematics and Computer Science, Yan’an University, Yan’an, 716000 Shaanxi, China

Abstract

In this paper, we discuss the long-time behavior of g -Navier-Stokes equations with weak dampnesss and time delay. The uniformly attracting sets of processes are obtained. On the basis of the method with asymptotic compactness, the existence of the uniform attractor for the equation is proved with the restriction of the forcing term belonging to translational compacted function space.

Funder

Projects of Natural Science Basic Research Plan in Shaanxi Province of China

Publisher

Hindawi Limited

Subject

Analysis

Reference17 articles.

1. Infinite-Dimensional Dynamical Systems in Mechanics and Physics

2. RohJ.G-Navier-Stokes Equations, Ph. D. Dissertation2001Minnesota University

3. Existence of solutions of the g-Navier-Stokes equations;H. O. Bae;Taiwanese Journal of Mathematics,2004

4. Dynamics of the g-Navier–Stokes equations

5. The dimension of attractor of the 2D g-Navier–Stokes equations

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