Discovery Projects - Grant ID: DP210100357

发现项目 - 拨款 ID：DP210100357

• 批准号: ARC : DP210100357
• 负责人: Prof Gary Froyland
• 金额: $ 44万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2021
• 资助国家: 澳大利亚
• 起止时间: 2021-01-01 至 2024-12-31
• 项目状态: 已结题
• 来源: https://researchdata.edu.au/discovery-projects-grant-id-dp210100357/1782705
• 关键词: Discovery; Projects; Grant; ID; DP210100357

Modern mathematics to unravel the birth of coherence in dynamical systems. This project aims to reveal the precise mathematical mechanisms underlying the emergence and disappearance of long-lived coherent features in dynamical systems. This project expects to generate new fundamental mathematics in the area of dynamical systems, using innovative operator-theoretic approaches to carefully tease apart the lifecycles of coherent structures. The expected outcomes of this project include new mathematical theory and computational algorithms to anticipate the genesis and destruction of coherent objects, which are key organisers of complex geophysical flows. This breakthrough mathematics should provide significant benefits, such as improved prediction of eddy transport and persistence of weather and climate patterns.

现代数学揭示了动力系统相干性的诞生。该项目旨在揭示动力系统中长期相干特征的出现和消失的精确数学机制。该项目期望使用创新的算子理论方法来仔细梳理相干结构的生命周期，从而在动力系统领域产生新的基础数学。该项目的预期成果包括新的数学理论和计算算法，以预测相干物体的起源和破坏，这些物体是复杂地球物理流的关键组织者。这一突破性的数学应该会带来显着的好处，例如改进对涡流传输以及天气和气候模式的持续性的预测。