本项目主要研究一些流体力学方程及相关动力学模型整体解的长时间动力学行为，其中包括流体力学模型的多尺度结构稳定性、无穷维动力系统以及正则逼近问题。.流体力学方程不仅是描述流体运动本质规律的数学模型，也是流体力学和空气动力学中的本构方程，所以不管从数学理论还是从物理应用来说，流体模型都是非常重要的研究课题。

This project manily study the multi-scaling tructure stability, the long-time dynamic behavior of global solutions for some hydrodynamical equations, which includes the infinite-dimensional dynamic systems and regular approximation of hydrodynamical models..The hydrodynamical equations are not only mathematical models to describe the essential law of fluid flow, but also the constitutive equation for fluid.mechanics and aerodynamics, so the research on hydrodynamical models is a key topic whether it's mathematical theory or physical application.