| 带阻尼项的二维 Navier-Stokes 方程的 全局吸引子 |
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| 引用本文： | 王金涛,岳高成.带阻尼项的二维 Navier-Stokes 方程的 全局吸引子[J].数学年刊A辑(中文版),2018,39(2):183-192. |
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| 作者姓名： | 王金涛 岳高成 |
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| 作者单位： | 南京航空航天大学数学系 |
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| 摘 要： | 考虑了带阻尼的二维Navier-Stokes方程在全空间中解的长时间行为,证明了相应的涡量方程存在(L~2(R~2),H~1(R~2))-吸引子.
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| 关 键 词： | 2D Navier-Stoke 方程 全局吸引子 渐近正则性 |
| 收稿时间： | 2015/11/30 0:00:00 |
| 修稿时间： | 2017/9/13 0:00:00 |
Global Attractor for the Damped 2D Navier-Stokes Equation in \R2 |
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| WANG Jintao and YUE Gaocheng.Global Attractor for the Damped 2D Navier-Stokes Equation in \R2[J].Chinese Annals of Mathematics,2018,39(2):183-192. |
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| Authors: | WANG Jintao and YUE Gaocheng |
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| Institution: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics,
Nanjing, 211106, China. and Department of Mathematics, Nanjing University of Aeronautics and Astronautics,
Nanjing, 211106, China. |
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| Abstract: | In this paper, the authors study the long time behavior of damped and driven incompressible
Navier-Stokes equations in $\R^2$. It is shown that the corresponding vorticity equation has
a global $(L^2(\R^2),H^1(\R^2))$-attractor. |
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| Keywords: | 2D Navier-Stoke equations Global attractor Asymptotic regularity |
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