两同心旋转球间流动的弱解的存在唯一性

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

研究了两个同心旋转球间的轴对称不可压缩的粘性流动· 该流动广泛应用于大气物理和地球物理等学科中，为了得到该流动的流函数＿速度形式的Ｎａｖｉｅｒ＿Ｓｔｏｋｅｓ 方程的弱解的存在性和唯一性，首先发现了该方程中非线性项之间的关系，并引入一个有限维的辅助问题，通过紧性而得到了结论·

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.