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

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.
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.