| Improvement of two inequalities in the stationary Navier-Stokes equations |
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| 作者姓名： | 张瑞 马逸尘 |
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| 作者单位： | [1]School of Science, Xi＇an Jiaotong University Xi＇an 710049, China [2]Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, China |
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| 摘 要： | 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.
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| 关 键 词： | Navier-Stokes方程 Galerkin法 有限元法 不等式 |
| 文章编号： | 1671-8267（2007）02-0124-02 |
Improvement of two inequalities in the stationary Navier-Stokes equations |
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| Zhang Rui,Ma Yichen.Improvement of two inequalities in the stationary Navier-Stokes equations[J].Academic Journal of Xi’an Jiaotong University,2007,19(2):124-125,130. |
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| Authors: | Zhang Rui Ma Yichen |
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| 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 21/4·31/2 and 21/2·33/4 to 21/4 and 23/4, respectively. Therefore, to some extent the approximating error can be reduced and the accuracy of approximation can be improved. |
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| Keywords: | Navier-Stokes Equations Galerkin method finite element |
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