本项目研究一些几何发展方程当时间趋于无穷大时的渐近行为。具体涉及的发展方程有三种：曲面上的调和映射流、四维流形上的Yang-Mills流和带锥奇点曲面上的Ricci流。所研究的问题包括：（针对调和映射流与Yang-Mills流）渐近极限的存在性、弱极限的唯一性、爆破过程的唯一性及其可能的几何意义和（针对Ricci流）极限过程的几何描述与奇异共形结构的突变。

This project studies the limiting behavior of some geometric evolution equations when time goes to infinity. Precisely, we study the following three types of evolution equations: harmonic map flow on surfaces, Yang-Mills flow on four manifolds and Ricci flow on surfaces with conical singularities. The following problems are investigated: (for harmonic map flow and Yang-Mills flow) the existence of the limit, the uniqueness of the weak limit and the bubble tree and the possible geometric interpretation of the blow-up profile and (for Ricci flow) the geometric description of the limit process and the jump of the singular conformal structure.