Open Access
2013 Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate
Bo You, Shan Ma
Abstr. Appl. Anal. 2013: 1-16 (2013). DOI: 10.1155/2013/758730

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.

Citation

Download Citation

Bo You. Shan Ma. "Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate." Abstr. Appl. Anal. 2013 1 - 16, 2013. https://doi.org/10.1155/2013/758730

Information

Published: 2013
First available in Project Euclid: 27 February 2014

MathSciNet: MR3035222
zbMATH: 1291.86009
Digital Object Identifier: 10.1155/2013/758730

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
Back to Top