Partial Differential Equations, geometric aspects and applications

偏微分方程、几何方面和应用

• 批准号: DE230100954
• 负责人: Dr Giorgio Poggesi
• 金额: $ 24.99万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-01-16 至 2026-01-16
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE230100954
• 关键词: Partial; Differential; Equations; geometric; aspects

The study of Partial Differential Equations (PDEs) is a classical and prolific field of research having a fundamental role in the development of mathematical analysis and motivated by important applications in natural and applied sciences. This project aims to obtain substantial progress in the field of PDEs. The area of mathematical research covered is extremely broad, at the confluence of analysis and geometry, and with many applications to other areas of mathematics and natural and applied sciences. The results that will be obtained will produce a significant amount of new knowledge in this extremely difficult, but rapidly growing, field, by exploiting international scientific collaborations and interdisciplinary methods.

偏微分方程（PDE）的研究是一个经典和多产的研究领域，在数学分析的发展中具有基本作用，并由自然和应用科学中的重要应用激励。 该项目旨在在PDE领域取得实质性进展。涵盖的数学研究领域非常广泛，在分析和几何形状的汇合处，并在其他数学以及自然和应用科学领域进行了许多应用。将通过利用国际科学合作和跨学科方法，将在这个极其困难但迅速发展的领域中获得大量新知识的结果。