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简化Navier-Stokes方程IF理论广义解的存在性和唯一性
引用本文:朱刚,胡庆康,陈农.简化Navier-Stokes方程IF理论广义解的存在性和唯一性[J].西安交通大学学报,1994(2).
作者姓名:朱刚  胡庆康  陈农
作者单位:清华大学
摘    要:根据简化Navier-Stokes方程IF理论,提出了一个基本假设,在此假设的基础上研究了IF理论解的存在性和唯一性问题,考察了当简化N-S方程逼近N-S方程时,论文结论收敛到N-S方程的相应结论,这个结论适用于二维不可压IF流动。

关 键 词:简化Navier-Stokes方程,存在性,唯一性,假设

DISSCUSSION ON EXISTENCE AND UNIQUENESS FOR EXTENSIVE SOLUTION OF SIMPLIFIED NAVIER-STOKES EQUATIONS IF THEORY
Zhu Gang, Hu Qingkang, Chen Nong.DISSCUSSION ON EXISTENCE AND UNIQUENESS FOR EXTENSIVE SOLUTION OF SIMPLIFIED NAVIER-STOKES EQUATIONS IF THEORY[J].Journal of Xi'an Jiaotong University,1994(2).
Authors:Zhu Gang  Hu Qingkang  Chen Nong
Institution:Zhu Gang; Hu Qingkang; Chen Nong(Department of power Machinery Engineering)(Department of Mathematics)
Abstract:According to the simplified Navier-Stokes equations IF theory,a basis hypothesis is presented in this paper.Existence and uniqueness of the theoretical solution of IF theory is studed on the basis of this hypothesis.The conclusions of this paper can converge to that of N-S equations when IF theory is approching N-S equations.They are applicable to the two dimensional incompressible IF flow.
Keywords:simplified Navier-Stokes equations existence uniqueness hypothesis
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