Abstract: The basic problem faced
in geophysical fluid dynamics is that a mathematical description based only on fundamental physical principles, the socalled the
“Primitive Equations”, is often prohibitively expensive computationally, and hard to study analytically. In this talk I will survey
the main obstacles in proving the global regularity for the threedimensional Navier–Stokes equations and their geophysical
counterparts. Even though the Primitive Equations look as if they are more difficult to study analytically than the threedimensional Navier–Stokes
equations I will show in this talk that they have a unique global (in time) regular solution for all initial data.
This is a joint work with Chongshen Cao.
[LECTURE SLIDES]
