Attractors for the three-dimensional incompressible Navier-Stokes equationswith damping
Attractors for the three-dimensional incompressible Navier-Stokes equationswith damping
复制标题
DOI：
10.3934/dcds.2011.31.239
复制
发表时间：
2011-06
影响因子：
1.1
通讯作者：
Xue-li Song;Yanren Hou
中科院分区：
文献类型：
--
作者：
Xue-li Song;Yanren Hou
本文证明了具有阻尼的三维Navier-Stokes方程的强解|u|当初始数据u_0\in V$时，^{\beta-1}u\（\alpha>0，\frac{7}{2}\leq \beta\leq 5）$在V$和H^2（\Omega）$中有全局吸引子，其中$\Omega\subset \mathbb{R}^3$有界。
In this paper, we show that the strong solution of the three-dimensional Navier-Stokes equations with damping $\alpha|u|^{\beta-1}u\ (\alpha>0, \frac{7}{2}\leq \beta\leq 5)$ has global attractors in $V$ and $H^2(\Omega)$ when initial data $u_0\in V$, where $\Omega\subset \mathbb{R}^3$ is bounded.