| 一类修正的Navier-Stokes方程的长时间性态 |
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| 引用本文： | 董柏青,李用声.一类修正的Navier-Stokes方程的长时间性态[J].数学物理学报(A辑),2006,26(4):498-505. |
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| 作者姓名： | 董柏青 李用声 |
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| 作者单位： | 南开大学数学科学学院，华南理工大学数学科学学院 天津 300071，广州 510640 |
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| 基金项目： | 国家自然科学基金(10001013，10471047)资助 |
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| 摘 要： | 该文主要讨论,Rn上一类修正的 Navier-Stokes 方程弱解的长时间性态, 通过进一步改进Fourier分解方法, 得到了当初速度u0∈ L2 ∩L1时其弱解在L2 范数下的最优衰减率为 (1+t)n/4 同时该文也给出了修正的Navier-Stokes 方程与经典Navier-Stokes 方程的误差估计.
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| 关 键 词： | 衰减率 Fourier分解 Navier-Stokes 方程 |
| 文章编号： | 1003-3998(2006)04-498-08 |
| 收稿时间： | 2005-01-20 |
| 修稿时间： | 2006-01-08 |
Large Time Behavior of the Modified Navier-Stokes Equations |
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| Dong Boqing,Li Yongsheng.Large Time Behavior of the Modified Navier-Stokes Equations[J].Acta Mathematica Scientia,2006,26(4):498-505. |
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| Authors: | Dong Boqing Li Yongsheng |
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| Institution: | 1.School of Mathematics Sciences, Nankai University, Tianjin 300071;2.School of Mathematics Sciences, South China University of Technology, Guangzhou 510640 |
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| Abstract: | This paper is concerned with the large time behavior of the modified Navier-Stokes equations in Rn . By improving the Fourier splitting methods, it is proved that the weak solution decays in L2 norm at the rate (1+t)n/4 when the initial data u0∈ L2∩L1. Moreover, the error estimate between modified Navier-Stokes equations and classic Navier-Stokes equations is studied. |
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| Keywords: | Decay rate Fourier splitting Navier-Stokes equations |
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