The primitive equations formulated in mean vorticity

Cheng Wang

doi:10.3934/proc.2003.2003.880

Article Contents

2003, Volume 2003: 880-887. Doi: 10.3934/proc.2003.2003.880 open access

This issue Previous Article Travelling waves for solid-gas reaction-diffusion systems Next Article Global existence and dynamical properties of large solutions for combustion flows

The primitive equations formulated in mean vorticity

Cheng Wang^1,

1.
Department of Mathematics, Indiana University, Bloomington, IN 47405-5701

Received: September 2002

Published: April 2003

Abstract / Introduction Related Papers Cited by

Abstract

The primitive equations (PEs) of large-scale oceanic flow formulated in mean vorticity is proposed. In the reformulation of the PEs, the prognostic equation for the horizontal velocity is replaced by evolutionary equations for the mean vorticity field and the vertical derivative of the horizontal velocity. The total velocity field (both horizontal and vertical) is statically determined by differential equations at each fixed horizontal point. Its equivalence to the original formulation is also presented.

Keywords:

Mathematics Subject Classification: Primary: 35Q35; Secondary: 86A10.

Citation:

Article Metrics

HTML views() PDF downloads(45) Cited by(0)

The primitive equations formulated in mean vorticity

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The primitive equations formulated in mean vorticity

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content