On mathematical problems for the primitive equations of the ocean: the mesoscale midlatitude case

被引：35

作者：

Lions, JL

Temam, R ^{[1
]}

Wang, SH

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA

[3] Coll France, F-75005 Paris, France

[4] Univ Paris Sud, Anal Numer Lab, F-91405 Orsay, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 40卷 / 1-8期

基金：

美国国家科学基金会;

关键词：

mesoscale ocean dynamics; geostrophic asymptotics; Boussinesq equations; primitive equations; quasi-geostrophic equations; existence and properties of solutions;

D O I：

10.1016/S0362-546X(00)85026-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mesoscale (or synoptic) midlatitude case of oceans or part of the ocean of about a few hundred kms long in the north-south and east-west directions is analyzed. The objective is to represent a small step in this direction as follows: to introduce systematically the geostrophic asymmptotics for the mesoscale ocean and to conduct the mathematical analysis of the resulting quasi-geostrophic (QG) equations and the asymptotics.

引用

页码：439 / 482

页数：44

共 36 条

[1]

Babin A, 1997, ASYMPTOTIC ANAL, V15, P103

[2] VALIDITY OF THE QUASI-GEOSTROPHIC MODEL FOR LARGE-SCALE FLOW IN THE ATMOSPHERE AND OCEAN [J].