On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations

Details On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations

2010-07-07

arxiv.org/abs/1007.1181v1

Physics

Mathematical Physics

Scientific paper

The dispersive effect of the Coriolis force for the stationary Navier-Stokes equations is investigated. The effect is of a different nature than the one shown for the non-stationary case by J. Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier. Existence of a unique solution is shown for arbitrary large external force provided the Coriolis force is large enough. The analysis is carried out in a new framework of the Fourier-Besov spaces. In addition to the stationary case counterparts of several classical results for the non-stationary Navier-Stokes problem have been proven.

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