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三维Stokes近似系统弱解的全局存在性
引用本文:郭蒙,郭志召.三维Stokes近似系统弱解的全局存在性[J].高师理科学刊,2011,31(1):22-25.
作者姓名:郭蒙  郭志召
作者单位:1. 西北大学,数学系,陕西,西安,710127
2. 蓝田县田卫中学,陕西,蓝田,710519
摘    要:研究了三维有界光滑区域上的Stokes近似系统弱解的全局存在性.利用Galerkin格式构造逼近方程组,进而通过取极限得到原系统的解,证明了三维Stokes近似系统弱解的全局存在性.

关 键 词:三维Stokes  近似系统  全局弱解  Galerkin逼近解

On the existence of global weak solutions to the three-dimensional Stokes approximation equations
GUO Meng,GUO Zhi-zhao.On the existence of global weak solutions to the three-dimensional Stokes approximation equations[J].Journal of Science of Teachers'College and University,2011,31(1):22-25.
Authors:GUO Meng  GUO Zhi-zhao
Institution:1.Department of Mathematics,Northwest University,Xi’an 710127,China;2.Tianwei Middle School,Lantian 710519,China)
Abstract:Studied the existence of global weak solutions to the three-dimensional Stokes approximation equations.The approximation solutions were firstly constructed via Galerkin schemet,he original system solutions were obtained by passing the limit,proved that the existence of global weak solutions to the three-dimensional Stokes approximation equations is held.
Keywords:three-dimensional Stokes approximation equation  global weak solution  Galerkin approximate solution  
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