Maximum principles for the primitive equations of the atmosphere

Pages: 343 - 362, Volume 7, Issue 2, April 2001

doi:10.3934/dcds.2001.7.343       Abstract        Full Text (175.8K)       Related Articles

Brian D. Ewald - Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, 831 E. Third Street, Bloomington, IN 47405, United States (email)
Roger Témam - Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, 831 E. Third Street, Bloomington, IN 47405, United States (email)

Abstract: In this article, maximum principles are derived for a suitably modified form of the equation of temperature for the primitive equations of the atmosphere; we consider both the limited domain case in Cartesian coordinates and the ow of the whole atmosphere in spherical coordinates.

Keywords:  maximum principles, primitive equations of the atmosphere
Mathematics Subject Classification:  35Q35, 86A10, 37N10, 76U05.

Received: November 2000;      Published: January 2001.