NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's p ....NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's plates move and
interact now and in the past and how the structure of the continents
arose.
Not only is this intrinsically interesting, it
will also be of immediate practical benefit to geological modelers.Read moreRead less
Asymmetric Synthesis of Chiral Phosphines, Arsines, and Stibines. There are now chiral phosphine-transition metal catalysts that rival enzymes in their efficiency for the asymmetric synthesis of important chiral drugs, fragrants, cosmetics, nutrients, vitamins, and pesticides. This project is aimed at a generalised asymmetric synthesis of the critical components of these enzyme mimics, notably enantiopure chiral phosphines, but also chiral arsines and stibines, by a highly innovative approach t ....Asymmetric Synthesis of Chiral Phosphines, Arsines, and Stibines. There are now chiral phosphine-transition metal catalysts that rival enzymes in their efficiency for the asymmetric synthesis of important chiral drugs, fragrants, cosmetics, nutrients, vitamins, and pesticides. This project is aimed at a generalised asymmetric synthesis of the critical components of these enzyme mimics, notably enantiopure chiral phosphines, but also chiral arsines and stibines, by a highly innovative approach that involves novel six-electron phosphenium, arsenium, and stibinium cations that are themselves stabilised by chiral phosphines so that chemical breeder reactions are possible. The use of chiral auxiliaries from the natural pool and from biotechnology will also be investigated.Read moreRead less
CRATON EDGES AND SUTURES IN THE AUSTRALIAN MANTLE. A major seismic experiment using recording of distant earthquakes will be used to provide images of 3-D structure in the Earth's crust and mantle along the length of the edge of the Precambrian Australian Shield and across the suture between the South and North Australian cratons within the Shield. Seismic structures derived from different classes of geodynamic models will be compared with seismic results derived from a variety of styles of dat ....CRATON EDGES AND SUTURES IN THE AUSTRALIAN MANTLE. A major seismic experiment using recording of distant earthquakes will be used to provide images of 3-D structure in the Earth's crust and mantle along the length of the edge of the Precambrian Australian Shield and across the suture between the South and North Australian cratons within the Shield. Seismic structures derived from different classes of geodynamic models will be compared with seismic results derived from a variety of styles of data interpretation, including seismic tomography. The experiment will improve understanding of the range of physical processes associated with rifting and building of continents.Read moreRead less
Diamonds - a window into the ancient mantle: the origin of Earth's atmosphere and outgassing of the mantle. The project will provide a better understanding of the mantle source regions of diamonds and, in particular, homogeneity/heterogeneity of the source regions as a function of space and time - potentially of economic significance for diamond exploration. The project will investigate the noble gas compositions of a systematic selection of diamonds of different ages and from different parts of ....Diamonds - a window into the ancient mantle: the origin of Earth's atmosphere and outgassing of the mantle. The project will provide a better understanding of the mantle source regions of diamonds and, in particular, homogeneity/heterogeneity of the source regions as a function of space and time - potentially of economic significance for diamond exploration. The project will investigate the noble gas compositions of a systematic selection of diamonds of different ages and from different parts of the mantle. Together with carbon and nitrogen isotope systematics, this information will be used to better constrain models of Earth outgassing and the evolution of the Earth's atmosphere and mantle.Read moreRead less
Seismic constraints on the assembly of cratons. Improved definition of the 3-D seismological structure and nature of the major lithospheric blocks in Australia and their assembly to form the present-day continent will be sought from seismological data. The inclusion of information on the depth extent and character of the lithosphere will improve geological understanding of the evolution of the continent, with relevance to the interaction of the crust and mantle and the placement of mineral res ....Seismic constraints on the assembly of cratons. Improved definition of the 3-D seismological structure and nature of the major lithospheric blocks in Australia and their assembly to form the present-day continent will be sought from seismological data. The inclusion of information on the depth extent and character of the lithosphere will improve geological understanding of the evolution of the continent, with relevance to the interaction of the crust and mantle and the placement of mineral resources.Read moreRead less
HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming gen ....HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming generation involved in modern technological development. I will maintain my large collaborative effort with
leading mathematicians from the US, France and other countries, thus
helping to keep Australia at the forefront of a significant field of
research.Read moreRead less
HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation invol ....HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation involved in modern technological development. I will maintain my active collaborative effort with leading mathematicians from the US, France and other countries, thus helping to keep Australia at the forefront of a significant field of research.Read moreRead less
Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and ta ....Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and taking decisions in an increasingly complex market-place. The project is also of importance to the continued evolution of physics in this country contributing to the emergence of a strong new area of statistical physics concerned with the ?real world? in a manner hitherto unknown.Read moreRead less
HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electrom ....HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electromagnetic waves both inside and outside irregularly shaped surfaces, and their propagation through it.Read moreRead less
Harmonic analysis of differential operators in Banach spaces. This proposal aims to develop harmonic analysis (the mathematical tools used in digital music and photography) in new contexts. It focuses on boundary value problems (the theory behind medical or geological imaging) and stochastic equations (which describe phenomena with random components such as the behaviour of financial markets).