时滞2D-Navier-Stokes方程的全局吸引子

The Global Attractor of 2D-Navier-Stokes Equations with Delays

研究了含分布时滞的2D-Navier-Stokes方程在非齐次条件下的全局吸引子存在性问题.利用Background流函数齐次化系统后,借助Poincare不等式、Sobolev嵌入定理、能量不等式和一致G ronwall不等式等技巧,证明了解半群的渐近紧性.

In this paper, the existence of the global attractor for 2D-Navier-Stokes equations with delays is obtained. We reduce the problem to homogeneous boundary equations by constructing a background now, then by using the Poincare inequality, imbedding theorem, energy inequality and the uniform Gronwall Lemma, the asyrnptotical compactness is obtained.