Feng Weibing, Li Kaitai. The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J]. Applied Mathematics and Mechanics, 2000, (1): 61-66.
 Citation: Feng Weibing, Li Kaitai. The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J]. Applied Mathematics and Mechanics, 2000, (1): 61-66.

# The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres

• Rev Recd Date: 1999-07-13
• Publish Date: 2000-01-15
• 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.
•  [1] Khlebutin G N.Stability of fluid motion between a rotating and a stationary concentric sphere[J].Fluid Dynamics,1986,3:31～34. [2] Marcus PS,Tuckerman L S.Simulation of flow between two concentric rotating spheres,Part1,Steady states[J].J Fluid Mech,1987,185:1～30. [3] Marcus PS,Tuckerman L S.Simulation of flow between two concentric rotating spheres,Part2,Transition[J].J Fluid Mech,1987,185:31～66. [4] Teman R.Navier-Stokes Equation[M].Amsterdam,New York:North-Holland,1984. [5] 李开泰,马逸尘.数理方程Hilbert空间方法[M].西安:西安交通大学出版社,1992. [6] Glowinski R.Numerical Methods for Nonlinear Variational Problems[M].New York:Springer,1984. [7] Tuckerman L S.Formation of Taylor vortices in spherical conette flow[D].Ph.D.Thesis.Massachusetts:Massachusetts Institute of Technology,1983.

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