Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer
Analysis of PDEs
2009-01-12 v1
Abstract
The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In this paper, we consider the NSC system in an infinite three-dimensional layer delimited by two horizontal planes, with periodic boundary conditions in the vertical direction. If the angular velocity parameter is sufficiently large, depending on the initial data, we prove the existence of global, infinite-energy solutions with nonzero circulation number. We also show that these solutions converge toward two-dimensional Lamb-Oseen vortices as time goes to infinity.
Cite
@article{arxiv.0901.1199,
title = {Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer},
author = {Thierry Gallay and Violaine Roussier-Michon},
journal= {arXiv preprint arXiv:0901.1199},
year = {2009}
}
Comments
26 pages, no figure