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April  2001, 7(2): 343-362. doi: 10.3934/dcds.2001.7.343

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, United States, United States

Received  November 2000 Published  January 2001

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: primitive equations of the atmosphere, maximum principles.
Mathematics Subject Classification: 35Q35, 86A10, 37N10, 76U0.
Citation: Brian D. Ewald, Roger Témam. Maximum principles for the primitive equations of the atmosphere. Discrete & Continuous Dynamical Systems, 2001, 7 (2) : 343-362. doi: 10.3934/dcds.2001.7.343
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