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 R^2

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 R2. It is shown that the corresponding vorticity equation has a global（L2（R2）, H1（R2））-attractor.