高阶脖子分析及其应用

本项目计划研究从曲面出发的调和映射序列在爆破过程中的脖子分析。研究计划包括三个方面：首先，是环状区域上的高阶估计的证明；其次，研究广义的脖子区域上的高阶估计；最后，计划研究这种高阶脖子分析在一些与爆破有关的几何问题中的应用。

The proposed project studies the neck analysis of the blow-up of a sequence of harmonic maps from surfaces. The project includes the following three main topics: first, the proof of the higher order neck analysis on annular domains; second, the study of higher order neck analysis on generalized neck domain; last, the application of the higher order neck analysis in geometric problems related to the blow-ups.