## Journal of Applied Mathematics

### The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations

Delin Wu

#### Abstract

We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain $\Omega$. Assuming $f=f(x,t)\in {L}_{\text{loc}}^{2}$, we establish the existence of the uniform attractor in ${L}^{2}(\Omega)$ and $D({A}^{1/2})$. The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

#### Article information

Source
J. Appl. Math., Volume 2009 (2009), Article ID 150420, 17 pages.

Dates
First available in Project Euclid: 2 March 2010

https://projecteuclid.org/euclid.jam/1267538747

Digital Object Identifier
doi:10.1155/2009/150420

Mathematical Reviews number (MathSciNet)
MR2486137

Zentralblatt MATH identifier
05628309

#### Citation

Wu, Delin. The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations. J. Appl. Math. 2009 (2009), Article ID 150420, 17 pages. doi:10.1155/2009/150420. https://projecteuclid.org/euclid.jam/1267538747

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