Global existence and long-time asymptotics for rotating fluids in a 3D layer

被引：5

作者：

Gallay, Thierry ^{[1
]}

Roussier-Michon, Violaine ^{[2
]}

机构：

[1] Univ Grenoble 1, CNRS, UMR 5582, Inst Fourier, F-38402 St Martin Dheres, France

[2] INSA Toulouse, CNRS, UMR 5219, Inst Math, F-31077 Toulouse 4, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期

关键词：

Navier-Stokes equation; Rotating fluids; Global existence; Long-time asymptotics; Three-dimensional layer; Oseen vortex; NAVIER-STOKES EQUATION; VORTICITY EQUATIONS; INITIAL DATA; STABILITY;

D O I：

10.1016/j.jmaa.2009.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 t -> infinity. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：14 / 34

页数：21

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