Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《应用数学和力学(英文版)》 2000-01
Add to Favorite Get Latest Update

THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

Feng Weibing (封卫兵) 1, Li Kaitai (李开泰) 2 (1 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P R China; 2 Science School of Xi'an Jiaotong University, Xi'an 710049,P R China)(Communicated by Huang Yongnian)  
The unsteady axisymmetric incompressible flow between two concentric spheres was discussed in this paper. It is useful to most astrophysical, 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.
【CateGory Index】: O357
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 Liu Zhixing; Li Kaitai(Dept. of Math., Xi'an Jiaotong University, Xi'an 710049);A CONTINUATION ALGORITHM FOR THE BRANCHING SOLUTION OF THE FLOW BETWEEN TWO ROTATING SPHERES[J];Numerical Mathematies A Journal of Chinese Universities;2000-03
2 Wang Heyuan (Faculty of Aeronautics and Astronautics,Xi'an Jiaotong University,Xi'an 710049/Liao ning institute of technology,Jinzhou 121001) Jiang Haibin (Liao ning institute of technology,Jinzhou 121001);BIFURCATION ANALYSIS OF THE MODEL SYSTEM SIMILAR TO THE LORENZ EQUATIONS OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES[J];Numerical Mathematics A Journal of Chinese Universities;2007-03
3 Wang Heyuan (School of Sciences Liaoning University of Technology,Jinzhou 121001);THE DYNAMICAL BEHAVIOR AND THE SIMULATION OF THE LORENZ SYSTEM OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES[J];Numerical Mathematics A Journal of Chinese Universities;2012-03
4 MEILi quan ,WANGLi zhou (ScienceSchool,Xi’anJiaotongUniversity ,Xi’an 710 0 49,PRChina);SYMMETRIC TAYLOR VORTEX FLOW BET WEEN TWO CONCENTRIC ROTATING SPHERES[J];CHINESE JOURNAL OF COMPUTATION PHYSICS;2000-06
5 Feng Weibing 1, Li Kaitai 2 (1 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P R China; 2 Science School of Xi'an Jiaotong University, Xi'an 710049,P R China);The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J];APPLIED MATHEMATICS AND MECHANICS;2000-01
6 YU JIAPING (School of Sciences,Donghua University,Shanghai 201620) LI KAITAI (School of Mathematics and Statistics,xi'an Jiaotong University,xi'an 710049);Lorenz Systems for the Viscous Incompressible Flows Between Two Concentric Rotating Spheres[J];Acta Mathematicae Applicatae Sinica;2013-04
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved