2D Navier-Stokes方程的渐近吸引子

摘要

The asymptotic attractor of 2D Navier-Stokes equation with periodic boundary conditions is studied, and some estimates on the dimension of the asymptotic attractor are given.%考虑了2D周期边界条件下Navier-Stokes方程渐近吸引子,即构造了一个有限维解序列,首先证明了该序列不会远离方程的整体吸引子,然后证明了它在长时间后无限趋于方程的整体吸引子,并给出了渐近吸引子的维数估计.