The existence and uniqueness of weak solution of the flow between two concentric rotating spheres

被引：0

作者：

Weibing F. ^{[1
]}

Kaitai L. ^{[2
]}

机构：

[1] Shanghai Institute of Applied Mathematics and Mechanics

[2] Science School of Xi' an Jiaotong University

来源：

Applied Mathematics and Mechanics | 2000年 / 21卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Galerkin method; Navier-stokes equations; Stream function;

D O I：

10.1007/BF02458541

中图分类号：

学科分类号：

摘要：

Tlie unsteady axisymmetric incompressible flow bet\veen t\vo concentric spheres was discussed in tins paper. It is useful to most astropliysical, geophysical and engineering applications. In order to get the existence and uniqueness of weak solution of this flow with the stream-velocity form, firstly, the relations among the nonlinear terms in this equation is found; then, the existence is proved by an auxiliary semi-discrete scheme and a compactness argument.

引用

页码：67 / 72

页数：5