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
Imaging circumstellar matter at high resolution. Within contemporary astrophysics there is a particular fascination with matter in near-stellar environments. Studies of stellar and planetary systems from formation through to eventual destruction entail observation of material, principally dust and gas, playing their parts on a very remote stage. A new generation of telescopes, known as interferometers, deliver extremely high resolutions enabling our first direct glimpses of these phenomena. Here ....Imaging circumstellar matter at high resolution. Within contemporary astrophysics there is a particular fascination with matter in near-stellar environments. Studies of stellar and planetary systems from formation through to eventual destruction entail observation of material, principally dust and gas, playing their parts on a very remote stage. A new generation of telescopes, known as interferometers, deliver extremely high resolutions enabling our first direct glimpses of these phenomena. Here I propose using a number of these devices in concert in order to dramatically enhance their scientific payoff. In addition to enabling unique studies of stellar systems, new techniques for merging disparate data into powerful combined forms will be devised.Read moreRead less
Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and ....Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits and, in particular, reduce times and costs in their design and production. Read moreRead less