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起着基础性的作用，并受到自然科学和应用科学中重要应用的推动。 该项目旨在在偏微分方程领域取得实质性进展。数学研究的领域涵盖非常广泛，在分析和几何的汇合处，并与许多应用到其他领域的数学和自然科学和应用科学。通过利用国际科学合作和跨学科方法，将获得的结果将在这一极其困难但快速增长的领域产生大量新知识。