Outflows, Jets and Plumes. This project studies how fluid flows out from a small concentrated object into a second surrounding fluid. New solution methods will be provided, and new results about how these fluid flows evolve will be obtained. These are important problems with significance in modelling underwater explosions. They are also important in astrophysics, and will help explain the shapes of outflows from some stars or galaxies. The outcomes of the project will be a deeper mathematical un ....Outflows, Jets and Plumes. This project studies how fluid flows out from a small concentrated object into a second surrounding fluid. New solution methods will be provided, and new results about how these fluid flows evolve will be obtained. These are important problems with significance in modelling underwater explosions. They are also important in astrophysics, and will help explain the shapes of outflows from some stars or galaxies. The outcomes of the project will be a deeper mathematical understanding of which outflow shapes are stable, and under what circumstances they might become unstable. This will provide valuable information about galaxy shapes, and a new suite of computational methods for solving such problems.Read moreRead less
Development of a novel best approximation theory with applications . The aim of this project is to develop an innovative best approximation theory for complex fractional boundary value problems with discontinuities and with no compactness, and then apply the theory to study two classes of complex partial differential equation boundary value problems with industrial applications. The work will lead to the development of a new theory and a suite of innovative analytical and computational methods f ....Development of a novel best approximation theory with applications . The aim of this project is to develop an innovative best approximation theory for complex fractional boundary value problems with discontinuities and with no compactness, and then apply the theory to study two classes of complex partial differential equation boundary value problems with industrial applications. The work will lead to the development of a new theory and a suite of innovative analytical and computational methods for solving a wide range of nonlinear problems with singularities and non-local properties. The expected outcomes of the project will significantly advance our methods for the modelling and control of many industrial systems and processes.
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Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provid ....Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provide engineers and scientists with a theoretical base and simulation technique for the study and optimal control of impulsive systems and processes involving nonlinear singularity.Read moreRead less
Electronic and Optical Properties of Doped Titanium Dioxide. Titanium dioxide, is widely used as a white pigment, owing to its high refractive index, second, only after diamond. Yellowing of rutile pigment particles, observed on prolonged exposure to sunlight, is a serious problem that pigment manufacturers would like to overcome. It is proposed that aluminium-doping of rutile limits this discolouration by altering the electronic structure of the rutile particles. This project seeks to identify ....Electronic and Optical Properties of Doped Titanium Dioxide. Titanium dioxide, is widely used as a white pigment, owing to its high refractive index, second, only after diamond. Yellowing of rutile pigment particles, observed on prolonged exposure to sunlight, is a serious problem that pigment manufacturers would like to overcome. It is proposed that aluminium-doping of rutile limits this discolouration by altering the electronic structure of the rutile particles. This project seeks to identify the specific electronic cause of the yellowing process, the nature of the Al defect,it's effect on the electronic structure of rutile, and the electronic perturbations that may occur when other dopants are used.Read moreRead less
A reliable physical model of molecular motion in crystals. The scientific benefits would flow, in the first instance, to the large national and international communities of scientists whose research makes use of the results of X-ray diffraction experiments. Applications of the research to amino acids and peptides will benefit investigations into the structure and molecular dynamics of biological systems, including proteins and enzymes. Studies of charge densities in crystals will obtain a standa ....A reliable physical model of molecular motion in crystals. The scientific benefits would flow, in the first instance, to the large national and international communities of scientists whose research makes use of the results of X-ray diffraction experiments. Applications of the research to amino acids and peptides will benefit investigations into the structure and molecular dynamics of biological systems, including proteins and enzymes. Studies of charge densities in crystals will obtain a standard tool for improved modelling of molecular motion, resulting in physically more realistic charge density functions, and hence greater insight into the relationship between properties of crystals and their constituent molecules.Read moreRead less
Crowns, cages and cavities: Insights into host-guest chemistry from experimental charge density analysis of supramolecular crystals. Supramolecular systems - molecular aggregates - underpin the design and development of materials for a vast number of potential applications, in areas as diverse as catalysis, targeted drug delivery, gas storage, chemical separation, electro-optics and nonlinear optics. They also serve as models for complex phenomena such as self-assembly and ligand-receptor bindin ....Crowns, cages and cavities: Insights into host-guest chemistry from experimental charge density analysis of supramolecular crystals. Supramolecular systems - molecular aggregates - underpin the design and development of materials for a vast number of potential applications, in areas as diverse as catalysis, targeted drug delivery, gas storage, chemical separation, electro-optics and nonlinear optics. They also serve as models for complex phenomena such as self-assembly and ligand-receptor binding. Outcomes will impact on several of the nation's articulated research priorities and, through involvement of postdoctoral fellows and postgraduate students in an international collaboration of this nature, the project contributes directly to producing graduates and researchers familiar with state-of-the-art experimental facilities, both within Australia and overseas.Read moreRead less
Voids in molecular crystals: Novel computational approaches to their characterization, physicochemical nature, and influence on bulk properties. Key to the research objectives is further development of our own innovative software and techniques, now used by hundreds of researchers worldwide for the visualization and exploration of the structure and properties of molecular crystals. Through involvement of postdoctoral fellows and PhD students in an international collaborative research program inv ....Voids in molecular crystals: Novel computational approaches to their characterization, physicochemical nature, and influence on bulk properties. Key to the research objectives is further development of our own innovative software and techniques, now used by hundreds of researchers worldwide for the visualization and exploration of the structure and properties of molecular crystals. Through involvement of postdoctoral fellows and PhD students in an international collaborative research program involving a synergy between software development and visualization, and sophisticated modelling of the detailed nature of molecular crystals, the project contributes directly to producing researchers familiar with state-of-the-art theoretical and computational techniques, and well equipped to match the needs of one of the nation's articulated research priorities.Read moreRead less
Light Activated Electrochemistry: Microelectrode Arrays with just one wire. Electrochemistry requires each electrode to be connected to the external circuit by a wire. With many electrodes this means many wires. Wires limit electrode density in arrays and dictate that the electrode architecture must be predetermined. This project aims to remove the need for a wire for each electrode by using light to sequentially connect each electrode to a single wire. This will be achieved using modified silic ....Light Activated Electrochemistry: Microelectrode Arrays with just one wire. Electrochemistry requires each electrode to be connected to the external circuit by a wire. With many electrodes this means many wires. Wires limit electrode density in arrays and dictate that the electrode architecture must be predetermined. This project aims to remove the need for a wire for each electrode by using light to sequentially connect each electrode to a single wire. This will be achieved using modified silicon electrodes where irradiating with light causes an increase in conductivity at the illumination spot. The project will explore the variables that influence the spatial resolution and apply the ideas to making soft connects for nanoelectronics and making high density electrode arrays for electroanalysis.Read moreRead less
Counting the Electrons: Nickel Catalysed Electrochemical C-H Activation. Modern chemical synthetic methods using organometallic catalysts are highly prized in chemical industry and provide a multibillion dollar driver for world economies. However, traditional catalysis is expensive because of the reliance on rare earth metals often conjunction with toxic additives or reagents. The aim of this work is to develop new inexpensive transition metal catalysts based on earth abundant nickel and harness ....Counting the Electrons: Nickel Catalysed Electrochemical C-H Activation. Modern chemical synthetic methods using organometallic catalysts are highly prized in chemical industry and provide a multibillion dollar driver for world economies. However, traditional catalysis is expensive because of the reliance on rare earth metals often conjunction with toxic additives or reagents. The aim of this work is to develop new inexpensive transition metal catalysts based on earth abundant nickel and harness the power of electrons through electrochemistry to dramatically improve the reactivity of these catalysts. This project will seek to improve the way both complex and commonly used chemicals constructed through an atom economical process with potentially renewably produced electrons.Read moreRead less