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

被引：25

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.

引用

页码：855 / 865

页数：11