| 高维非定常Navier-Stokes方程解的逐点估计 |
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| 引用本文： | 张贵洲.高维非定常Navier-Stokes方程解的逐点估计[J].周口师范学院学报,2005,22(2):11-13,74. |
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| 作者姓名： | 张贵洲 |
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| 作者单位： | 南京理工大学应用数学系,南京,210094 |
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| 摘 要： | 在Rn空间中考虑Navier-Stokes方程的Cauchy问题.基于热核和Duhamel原理,构造先验函数,从而最终得到方程解的逐点估计.
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| 关 键 词： | Navier-Stokes方程 逐点估计 时间渐进行为 |
The point-wise estimates of solutions for non-stationary Navier-Stokes equations in multi-dimensions |
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| ZHANG Gui-zhou.The point-wise estimates of solutions for non-stationary Navier-Stokes equations in multi-dimensions[J].Journal of Zhoukou Normal University,2005,22(2):11-13,74. |
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| Authors: | ZHANG Gui-zhou |
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| Abstract: | We consider the Cauchy problem of the Navier-Stokes equations in R~n. Based on the heat kernel and the Duhamel principle, we construct some priori functions, so we obtained the point-wise estimates of the solutions. |
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| Keywords: | Navier-Stokes equations point-wise estimate time-asymptotic behavior |
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