New mathematical theory for fluid motion on surfaces with holes.

带孔表面上流体运动的新数学理论。

• 批准号: DE180101098
• 负责人: Dr Christopher Green
• 金额: $ 18.7万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-01 至 2020-07-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE180101098
• 关键词: New; mathematical; theory; fluid; motion

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.

该项目旨在开发新的显式数学结果，以增强对具有复杂几何特性的表面上的势论（数学的基本领域）的理解。在复杂曲面（例如带孔的曲面）上很少有这样的基本结果。该项目应该提供一个工具箱来解决曲面上的许多不同的数学问题。新结果还应适用于多孔介质和实际工程结构上的流体流动分析。