Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading the ....Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading theoretical groups, which will greatly aid research student education. There are direct applications to experiments on molecule formation with ultra-cold fermions in the ARC Centre of Excellence for Quantum-Atom Optics.Read moreRead less
Algorithms and computation in four-dimensional topology. This project will establish Australia as a world leader in computational topology, particularly in the all-important areas of topology in three and four dimensions. In four dimensions this work will be truly groundbreaking; until now the field has seen little development due to the complexity of the algorithms and computations required, and the applicant is in the unique position of having the necessary tools to make significant progress ....Algorithms and computation in four-dimensional topology. This project will establish Australia as a world leader in computational topology, particularly in the all-important areas of topology in three and four dimensions. In four dimensions this work will be truly groundbreaking; until now the field has seen little development due to the complexity of the algorithms and computations required, and the applicant is in the unique position of having the necessary tools to make significant progress in a feasible time frame. In three dimensions this project will strengthen the distinguished computational topology community in Melbourne, led by pioneers such as Rubinstein, Goodman, Hodgson as well as the applicant himself.Read moreRead less
Numerical Modelling of Injection Moulding for Viscoplastic Fluids. The project aims to modify and extend the numerical software developed by the world renowned Moldflow Pty Ltd, Melbourne, for the simulation of injection moulding in the plastics industry. The significance of the project lies in the application of the relatively new mathematical tool, called the variational inequality approach, to the problem of solidification of the molten plastic in a mould. The expected outcomes lie in the dev ....Numerical Modelling of Injection Moulding for Viscoplastic Fluids. The project aims to modify and extend the numerical software developed by the world renowned Moldflow Pty Ltd, Melbourne, for the simulation of injection moulding in the plastics industry. The significance of the project lies in the application of the relatively new mathematical tool, called the variational inequality approach, to the problem of solidification of the molten plastic in a mould. The expected outcomes lie in the development of new software for use in the plastics industry, which will improve the production of fibre reinforced thermoplastics throughout the world.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
Simulating viral evolution and genetic complexity. This project has direct relevance to understanding the growth of viral infections, and therefore has possible practical applications in disease research and control. Examples of these are emerging diseases in humans such as those caused by HIV-1, SARS coronavirus and Dengue virus, which cause considerable human suffering throughout the world. A major part of current research into these diseases involves attempts to model the evolutionary geneti ....Simulating viral evolution and genetic complexity. This project has direct relevance to understanding the growth of viral infections, and therefore has possible practical applications in disease research and control. Examples of these are emerging diseases in humans such as those caused by HIV-1, SARS coronavirus and Dengue virus, which cause considerable human suffering throughout the world. A major part of current research into these diseases involves attempts to model the evolutionary genetics and dynamics of virus populations in order to understand how to control epidemics, develop vaccines and design drugs. The research program is designed to provide new computational modelling tools for this purpose, which may have wider applications as well.
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Viscoplasticity, Solidification and Non-Isotropic Heat Transfer in Injection Moulding. The development of new software for use by the plastics industry will maintain Australia's position at the forefront of research contributing to improved production in this extremely important manufacturing sector. The application of this research by Melbourne's Moldflow, already the world's leading supplier of injection moulding software, will consolidate its position and enable it to increase further its mar ....Viscoplasticity, Solidification and Non-Isotropic Heat Transfer in Injection Moulding. The development of new software for use by the plastics industry will maintain Australia's position at the forefront of research contributing to improved production in this extremely important manufacturing sector. The application of this research by Melbourne's Moldflow, already the world's leading supplier of injection moulding software, will consolidate its position and enable it to increase further its market share, with consequential employment and other economic flow-on benefits to Australia. This project also increases the quantum of industry relevant scientific research, contributing to the enhancement of the national profile in exporting Australian products to world markets. Read moreRead less