  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.
