ASYMPTOTIC ANALYSIS FOR THE 3D PRIMITIVE EQUATIONS IN A CHANNEL

被引：9
|
作者：
Hamouda, Makram [1 ]
Jung, Chang-Yeol [2 ]
Temam, Roger [1 ]
机构：
[1] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA
[2] Nat Sci Ulsan Natl Inst Sci & Technol, Sch Technol Management Mech & Adv Mat Engn, Ulsan, South Korea
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 02期
基金：
美国国家科学基金会; 新加坡国家研究基金会;
关键词：
Primitive equations; boundary layers; singular perturbation analysis; NAVIER-STOKES EQUATIONS; LARGE-SCALE OCEAN; BOUNDARY-LAYERS; WELL-POSEDNESS; VISCOSITY; ATMOSPHERE; DYNAMICS; ABSENCE;
D O I：
10.3934/dcdss.2013.6.401
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we give an asymptotic expansion, with respect to the viscosity which is considered here to be small, of the solutions of the 3D linearized Primitive Equations (EPs) in a channel with lateral periodicity. A rigorous convergence result, in some physically relevant space, is proven. This allows, among other consequences, to confirm the natural choice of the non-local boundary conditions for the non-viscous PEs.
引用
收藏
页码：401 / 422
页数：22
相关论文
共 50 条
12345