A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force
Analysis of PDEs
2015-12-08 v1
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.
Keywords
Cite
@article{arxiv.1512.01814,
title = {A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force},
author = {Hiroki Ito and Jun Kato},
journal= {arXiv preprint arXiv:1512.01814},
year = {2015}
}
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13 pages