SOME ESTIMATES FOR THE ANISOTROPIC NAVIER-STOKES EQUATIONS AND FOR THE HYDROSTATIC APPROXIMATION

被引：24
|
作者：
BESSON, O
LAYDI, MR
机构：
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1992年 / 26卷 / 07期
关键词：
D O I：
10.1051/m2an/1992260708551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of the Navier-Stokes equations describing the flow of an incompressible fluid in a shallow domain and to the hydrostatic approximation of these equations. We first study the behaviour of solutions of the Navier-Stokes equations when the depth of the domain tends to zero. We then derive the existence of solutions for the hydrostatic approximation.
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页码：855 / 865
页数：11
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