On the Geometry of Liquid Crystals and Biological Membranes. This project will provide fundamental insights via realistic mathematical models into two areas of technological importance in the development of certain advanced materials involving liquid crystals and biomembranes. The use of liquid crystal devices is ubiquitous in the design of optical display units. Biomembranes are of much current importance, in particular, in connection with sophisticated drug delivery systems. The design of adva ....On the Geometry of Liquid Crystals and Biological Membranes. This project will provide fundamental insights via realistic mathematical models into two areas of technological importance in the development of certain advanced materials involving liquid crystals and biomembranes. The use of liquid crystal devices is ubiquitous in the design of optical display units. Biomembranes are of much current importance, in particular, in connection with sophisticated drug delivery systems. The design of advanced `smart' materials which admit solitonic behaviour is an area at the forefront of materials science and as such is important to the continued development of an advanced technological base within Australia.Read moreRead less
Large Time Behavior of Solutions to Stochastic Partial Differential Equations. We will study equilibria of complex systems described by stochastic partial differential equations. The rates of convergence to equilibrium will be obtained for the equations driven by Gaussian and general Levy noises under physically relevant assumptions. The benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in foref ....Large Time Behavior of Solutions to Stochastic Partial Differential Equations. We will study equilibria of complex systems described by stochastic partial differential equations. The rates of convergence to equilibrium will be obtained for the equations driven by Gaussian and general Levy noises under physically relevant assumptions. The benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of mathematical analysis of complex systems and development of close ties with the world leaders in this area of research. The project will advance our understanding of complex systems arising in Phyiscs, Engineering, Social and Life Sciences, hence fits into the Priority Goal: Breakthrough Science. Read moreRead less
Western Australia severe weather prediction: optimising forecasts using new data sources and improved high-resolution models. WA suffers unusually high exposure to severe tropical and extra-tropical weather, from its size and geographical location. This project will develop enhanced data assimilation and modelling techniques, using emerging high-resolution satellite and other data to improve the timeliness, accuracy and reliability of weather forecasts for WA. Outcomes include: improved forecas ....Western Australia severe weather prediction: optimising forecasts using new data sources and improved high-resolution models. WA suffers unusually high exposure to severe tropical and extra-tropical weather, from its size and geographical location. This project will develop enhanced data assimilation and modelling techniques, using emerging high-resolution satellite and other data to improve the timeliness, accuracy and reliability of weather forecasts for WA. Outcomes include: improved forecast systems for predicting severe weather affecting WA (and consequently Australia), and ensemble forecast systems that provide valuable probabilistic information, such as confidence limits in the forecasts. Better forecasts issued earlier for severe weather events will allow appropriate planning and management measures, thereby reducing their present high social and economic cost.Read moreRead less