## Abstract and Applied Analysis

### Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate

#### Abstract

We will first prove the existence of $\left(V,V\right)$- and $\left(V,{H}^{2}\right)$-absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of $\left(V,{H}^{3}\right)$-absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of $\left(V,V\right)$- and $\left(V,{H}^{2}\right)$-global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate by using the Sobolev compactness embedding theory.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 758730, 16 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511763

Digital Object Identifier
doi:10.1155/2013/758730

Mathematical Reviews number (MathSciNet)
MR3035222

Zentralblatt MATH identifier
1291.86009

#### Citation

You, Bo; Ma, Shan. Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate. Abstr. Appl. Anal. 2013 (2013), Article ID 758730, 16 pages. doi:10.1155/2013/758730. https://projecteuclid.org/euclid.aaa/1393511763

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