Functional and harmonic analysis of function spaces: synthesis, development and applications

数学的最新进展处于它的分支的边缘。这个跨学科的项目开发和约束了在过去30年里吸引了杰出数学家越来越多兴趣的研究领域，因为它不仅有理论价值，而且它与描述大量物理现象的关键方程和数值方法的理论基础有关。欧拉方程、Helmholtz方程、Lamb方程、Navier-Stokes方程和声学方程在函数空间中被研究，它们控制着不可压缩粘性流体的流动和波的传播。该项目对纯数学，特别是短期海啸预测都有贡献，将提高澳大利亚的研究声誉。

Recent advances in mathematics are on the borderlines of its branches. This interdisciplinary project develops and binds the research areas attracting growing interest of prominent mathematicians during the last 30 years because of not only its theoretical value, but also its ties with the key equations describing a multitude of physical phenomena and the theoretical foundation of numerical methods. The Euler, Helmholtz, Lamb, Navier-Stokes and acoustic equations, studied in terms of function spaces, govern incompressible viscous fluid flows and wave propagations. Contributing to both pure mathematics and, particularly, Short-Term Tsunami Prediction, the project will enhance Australia's research reputation.