The global attractor for the solutions to the 3D viscous primitive equations

Ning Ju

doi:10.3934/dcds.2007.17.159

Article Contents

2007, Volume 17, Issue 1: 159-179. Doi: 10.3934/dcds.2007.17.159

This issue Previous Article Positive solutions for resonant boundary value problems with the scalar p-Laplacian and nonsmooth potential Next Article Attractors for the viscous Camassa-Holm equation

The global attractor for the solutions to the 3D viscous primitive equations

Ning Ju^1,

1.
Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078

Received: February 28, 2006

Revised: July 31, 2006

Published: December 2006

Abstract Related Papers Cited by

Abstract

Existence of the global attractor is proved for the strong solutions to the 3D viscous Primitive Equations (PEs) modeling large scale ocean and atmosphere dynamics. This result is obtained under the natural assumption that the external heat source $Q$ is square integrable. Furthermore, it is shown in [20] that the fractal and Hausdroff dimensions of the global attractor for 3D viscous PEs are both finite.

Keywords:

3D viscous Primitive Equations,
global attractor.

Mathematics Subject Classification: 35B41, 35Q35, 37L, 65M70, 86A10.

Citation:

Article Metrics

HTML views() PDF downloads(226) Cited by(0)

The global attractor for the solutions to the 3D viscous primitive equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The global attractor for the solutions to the 3D viscous primitive equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content