Commun. Comput. Phys.,
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Volume 3.


Some Mathematical and Numerical Issues in Geophysical Fluid Dynamics and Climate Dynamics

Jianping Li 1, Shouhong Wang 2*

1 State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics (IAP), Chinese Academy of Sciences (CAS), P.O. Box 9804, Beijing 100029, China.
2 Department of Mathematics, Indiana University, Bloomington, IN 47405, USA.

Received 11 January 2007; Accepted (in revised version) 10 November 2007
Available online 11 December 2007

Abstract

In this article, we address both recent advances and open questions in some mathematical and computational issues in geophysical fluid dynamics (GFD) and climate dynamics. The main focus is on 1) the primitive equations (PEs) models and their related mathematical and computational issues, 2) climate variability, predictability and successive bifurcation, and 3) a new dynamical systems theory and its applications to GFD and climate dynamics.

AMS subject classifications: 86A05, 86A10, 76D, 76E, 76U05, 37L, 37M20, 35Q, 65

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Key words: Geophysical fluid dynamics, climate dynamics, low-frequency variability, attractor bifurcation, dynamic transition, well-posedness.

*Corresponding author.
Email: ljp@lasg.iap.ac.cn (J. P. Li), showang@indiana.edu (S. H. Wang)
 

The Global Science Journal