Remarks on the stability of the Navier-Stokes equations supplemented with stress-free boundary conditions

Physics – Mathematical Physics

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Scientific paper

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.

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