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

Authors
Feng, WB Li, KT
Citation
Wb. Feng et Kt. Li, The existence and uniqueness of weak solution of the flow between two concentric rotating spheres, APP MATH ME, 21(1), 2000, pp. 67-72
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
21
Issue
1
Year of publication
2000
Pages
67 - 72
Database
ISI
SICI code
0253-4827(200001)21:1<67:TEAUOW>2.0.ZU;2-V
Abstract
The unsteady axisymmetric incompressible flow between two concentric sphere s was discussed in this paper. It is useful to most astrophysical, geophysi cal and engineering applications. In order to get the existence and uniquen ess of weak solution of this flow with the stream-velocity form, firstly, t he 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.