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Improvement of two inequalities in the stationary Navier-Stokes equations

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张瑞[2] 马逸尘[1]

[1]School of Science, Xi'an Jiaotong University Xi'an 710049, China [2]Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, China

西安交通大学学报:英文版
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国际标准刊号:ISSN 1671-8267
Academic Journal of Xi’an Jiaotong University

分 类 号:

O175.29

文献标识码:

A

文章编号:

1671-8267(2007)02-0124-02

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Improvement of two inequalities in the stationary Navier-Stokes equations

Zhang Rui , Ma Yichen(1. School of Science, Xi'an Jiaotong University Xi'an 710049, China;2. Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, China)

Abstract:

Two inequalities in the book Navier-Stokes Equations Theory and Numerical Analysis written by Roger Temam are improved via Schwarz's inequality and Young's inequality, and the coefficients of them are simplified from 2^1/4 · 3^1/2 and 2^1/2 · 3^3/4to 2^1/4 and 2^3/4 , respectively. Therefore, to some extent the approximating error can be reduced and the accuracy of approximation can be improved.[著者文摘]

Key words:

Navier-Stokes Equations; Galerkin method; finite element

基金资助:

This work was supported by the National Natural Science Foundation of China (No. 10371096, 10671153).

作者简介:

Zhang Rui, male, born in 1964, associate professor, Ph. D. candidate, major in partial differential equation and data mining.

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