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

数学的最新进展处于其分支的边缘。这个跨学科的项目发展和结合了过去30年来吸引着杰出数学家日益增长的兴趣的研究领域，不仅因为它的理论价值，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、亥姆霍兹方程、兰姆方程、纳维-斯托克斯方程和声学方程，从函数空间的角度研究了不可压缩粘性流体的流动和波的传播。该项目对纯数学，特别是对短期海啸预测的贡献，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.