New mathematical theory for fluid motion on surfaces with holes.

本项目旨在发展新的显式数学结果，以加强对具有复杂几何性质表面的势理论（数学的一个基本领域）的理解。在复杂的曲面上很少有这样的基本结果，比如那些有孔的曲面。这个项目应该为解决曲面上许多不同的数学问题提供一个工具箱。新的结果也可以应用于分析流体在多孔介质和实际工程结构上的流动。

This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should also have application to the analysis of fluid flows over porous media and practical engineering structures.