ROTATING FLUIDS WITH SMALL VISCOSITY -THE CASE OF ILL PREPARED DATA

Van-Sang Ngo (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

In this paper, we prove the existence of a unique, global strong solution of the damped rotating fluid system in the whole space R^3 , that is the Navier-Stokes system with a damping force term, a large Coriolis force term and with a small anisotropic viscosity, provided that the rotation is fast enough. We also study the convergence of this solution towards the solution of the limiting system, in the case where the limiting system is not zero, and give an application in the case where the fluid rotates between two parallel infinite plates.

Domaines: Equations aux dérivées partielles [math.AP]

Van-Sang Ngo. ROTATING FLUIDS WITH SMALL VISCOSITY -THE CASE OF ILL PREPARED DATA. 2015. ⟨hal-01118494v1⟩