Geometric partial differential systems and their applications

几何偏微分系统及其应用

• 批准号: DP0985624
• 负责人: A/Prof Min-Chun Hong
• 金额: $ 19.4万
• 依托单位: The University of Queensland
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0985624
• 关键词: Geometric; partial; differential; systems; their

This proposal addresses questions central to the understanding of nonlinear partial differential systems from classical, quantum field theory and liquid crystals. Applications to physical problems such as the Yang-Mills flow, Faddeev's model and liquid crystal systems are of great interest and importance in the broader scientific community. The project will yield internationally significant results in theoretical mathematics, with applications in physics and and other sciences. Specialist training will be provided for Australia's next generation of mathematicians. This project will enable Australian researchers to stay at the forefront of research in this area, strengthening links with a number of world-leading mathematicians.

这个建议解决了从经典、量子场论和液晶中理解非线性偏微分系统的核心问题。 应用于物理问题，如杨米尔斯流，Faddeev的模型和液晶系统是在更广泛的科学界的极大兴趣和重要性。 该项目将在理论数学方面产生国际重要成果，并在物理学和其他科学中应用。将为澳大利亚的下一代数学家提供专业培训。该项目将使澳大利亚研究人员能够保持在这一领域的研究前沿，加强与一些世界领先的数学家的联系。