Remarks on the stability of the Navier-Stokes equations supplemented   with stress-free boundary conditions
  The purpose of this note is to analyze the long term stability of the Navier-Stokes equations supplemented with the Coriolis force and the stress-free boundary condition. It is shown that, if the flow domain is axisymmetric, spurious stability behaviors can occur depending whether the Coriolis force is active or not. 
J.-L. Guermond, J. L\'eorat, F. Luddens and C. Nore
math-ph math.MP