| 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,2018,39(2):183~192 |
| 带阻尼项的二维 Navier-Stokes 方程的 全局吸引子 |
| Global Attractor for the Damped 2D Navier-Stokes Equation in \R2 |
| Received:November 30, 2015 Revised:September 13, 2017 |
| DOI：10.16205/j.cnki.cama.2018.0017 |
| 中文关键词: 2D Navier-Stoke 方程, 全局吸引子, 渐近正则性 |
| 英文关键词:2D Navier-Stoke equations, Global attractor, Asymptotic regularity |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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