Fluids with anisotropic viscosity

Motivated by rotating fluids, we study incompressible fluids with anisotrop ic viscosity. We use anisotropic spaces that enable us to prove existence t heorems for less regular initial data than usual. In the case of rotating f luids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rot ation.