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arXiv · 1512.01814

A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force

Hiroki Ito·Jun Kato
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Abstract

The Cauchy problem for the Navier-Stokes equations with the Coriolis force is considered. It is proved that a similar a priori estimate, which is derived for the Navier-Stokes equations by Lei and Lin [11], holds under the effect of the Coriolis force. As an application existence of a unique global solution for arbitrary speed of rotation is proved, as well as its asymptotic behavior.

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Hiroki Ito, Jun Kato. 2015-12-06. A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force. https://arxiv.org/abs/1512.01814

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