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Fluids with anisotropic viscosity. (English) Zbl 0954.76012
Summary: Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global well-posedness for fast enough rotation.

76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35Q30 Navier-Stokes equations
76U05 General theory of rotating fluids
35Q35 PDEs in connection with fluid mechanics
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