How do vortices live in spatio-temporally complex flows?

该项目旨在利用动力系统理论和渐近分析相结合的方法，了解涉及时空复杂性的流动中涡旋的基本机制。这种创新的组合数学分析将与复杂的计算相结合，这将由澳大利亚和日本的数学与工程学之间的国际跨学科合作实现。预期结果是对湍流基本认识的突破。这将导致对更好的湍流模型的重大洞察，例如，在广泛的工程、生理和地球物理流动中使用。

The project aims to understand the fundamental mechanism of vortices occurring in flows involving spatio-temporal complexity, by using the combination of dynamical systems theory and asymptotic analysis. This innovative combined mathematical analysis will be coupled with sophisticated computations to be enabled by the international interdisciplinary collaboration between the Mathematics and Engineering at Australia and Japan. The expected outcomes are breakthroughs in the fundamental understanding of turbulence. This should lead to significant insight into better turbulent modellings used in, for example, wide range of engineering, physiological and geophysical flows.