Abstract and Applied Analysis

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

Bo You and Shan Ma

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Abstract

We will first prove the existence of ( V , V ) - and ( V , H 2 ) -absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of ( V , H 3 ) -absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of ( V , V ) - and ( V , H 2 ) -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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