Maximum principles for the primitive equations of the atmosphere

Brian D. Ewald; Roger Témam

doi:10.3934/dcds.2001.7.343

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2001, Volume 7, Issue 2: 343-362. Doi: 10.3934/dcds.2001.7.343

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Maximum principles for the primitive equations of the atmosphere

Brian D. Ewald^1, and
Roger Témam^1,

1.
Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, 831 E. Third Street, Bloomington, IN 47405

Received: November 2000

Published: April 2000

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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.

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