Some Mathematical Problems in Geophysical Fluid Dynamics

Temam R., Ziane M.

This article addresses some mathematical aspects of the equations of geophysical fluid dynamics namely, existence, uniqueness, and regularity of solutions of the Primitive Equations (PEs) of the ocean, the atmosphere and the coupled atmosphere-ocean. The emphasis is on the case of the ocean which encompasses most of the mathematical difficulties. A guide and summary of results for the physics oriented reader is providedat the end of the Introduction (Section 1).