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COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS
作者姓名:施惟慧  王曰朋  沈春
作者单位:[1]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China [3]Department of Mathematics, Nanjing University of Information Science ~ Technology, Nanjing 210044, P. R. China [4]School of Mathematics and Information, Yantai Normal' University, Yantai 264025, Shandong Province, P. R. China
摘    要:The stability about Navier-Stokes equation and Euler equation was brought into comparison. And by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes equation and Euler equation was also analyzed.

关 键 词:Navier-Stokes方程  Euler方程  稳定方程  单一方程
文章编号:10.1007/s10483-006-0913-y
收稿时间:2005-10-21
修稿时间:2006-05-27

Comparison of stability between Navier-Stokes and Euler equations
Wei-hui Shi,Yue-peng Wang Doctor,Chun Shen.COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(9):1257-1263.
Authors:Wei-hui Shi  Yue-peng Wang Doctor  Chun Shen
Institution:1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P. R. China;Department of Mathematics, Nanjing University of Information Science & Technology,Nanjing 210044, P. R. China
3. School of Mathematics and Information, Yantai Normal University, Yantai 264025,Shandong Province, P. R. China
Abstract:The stability about Navier-Stokes equation and Euler equation was brought into comparison. And by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes equation and Euler equation was also analyzed.
Keywords:Navier-Stokes equation  Euler equation  stable equation  singular equation  
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