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

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