NAVIER-STOKES EQUATIONS ON THE β-PLANE

被引：8
|
作者：
Al-Jaboori, Mustafa A. H. [1 ]
Wirosoetisno, Djoko [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2011年 / 16卷 / 03期
关键词：
Navier-Stokes equations; beta plane; global attractor;
D O I：
10.3934/dcdsb.2011.16.687
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that, given a sufficiently regular forcing, the solution of the two-dimensional Navier-Stokes equations on the periodic beta-plane (i.e. with the Coriolis force varying as f(0) + beta(y)) will become nearly zonal: with the vorticity omega(x, y, t) = (omega) over bar (y, t) + (omega) over tilde (x, y, t), one has vertical bar(omega) over tilde vertical bar(2)(Hs) <= beta(-1) M-s(...) as t -> infinity. We use this show that, for sufficiently large beta, the global attractor of this system reduces to a point.
引用
收藏
页码：687 / 701
页数：15
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