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Field of Research : Dynamical systems in applications
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Dynamical systems in applications (6)
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  • Active Funded Activity

    Australian Laureate Fellowships - Grant ID: FL230100088

    Funder
    Australian Research Council
    Funding Amount
    $2,531,590.00
    Summary
    Breakthrough mathematics for dynamical systems and data. This fellowship aims to create a step change in the mathematics we use to learn actionable information from dynamical systems and dynamical data. Using a groundbreaking, operator-theoretic approach to analyse high dimensional systems and spatiotemporal data, this project expects to generate new knowledge in the modelling of complex systems and new pathways for unsupervised machine learning. Expected outcomes of this fellowship include a tr .... Breakthrough mathematics for dynamical systems and data. This fellowship aims to create a step change in the mathematics we use to learn actionable information from dynamical systems and dynamical data. Using a groundbreaking, operator-theoretic approach to analyse high dimensional systems and spatiotemporal data, this project expects to generate new knowledge in the modelling of complex systems and new pathways for unsupervised machine learning. Expected outcomes of this fellowship include a tranche of new mathematics and practical next-generation algorithms to discover hidden human-understandable patterns in complex dynamical systems and data. This should provide significant universal benefits to many areas of science, including elucidating mechanisms underlying climate and social dynamics.
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    Active Funded Activity

    Early Career Industry Fellowships - Grant ID: IE230100545

    Funder
    Australian Research Council
    Funding Amount
    $448,887.00
    Summary
    Developing a deployment-ready robust controller for wave energy converters. This project aims to improve the economic viability of wave energy converters that convert the power of ocean waves into electricity. It will develop deployment-ready control systems which will effectively predict, model and respond to wave activity, maximising energy production and resulting in an overall reduction in the cost of renewable energy. The fundamental knowledge gained will increase the technology readiness .... Developing a deployment-ready robust controller for wave energy converters. This project aims to improve the economic viability of wave energy converters that convert the power of ocean waves into electricity. It will develop deployment-ready control systems which will effectively predict, model and respond to wave activity, maximising energy production and resulting in an overall reduction in the cost of renewable energy. The fundamental knowledge gained will increase the technology readiness of wave energy and drive the next generation of wave energy converters by improving their commercial viability. This project is an opportunity for Australia to become a world leader in the global transformation towards clean and affordable low-carbon technologies for domestic and global markets.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP230102414

    Funder
    Australian Research Council
    Funding Amount
    $373,000.00
    Summary
    Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particl .... Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particle clustering. Computational modelling and experimental investigations will be undertaken to identify the heat transfer mechanisms of various nanofluids. The outcomes of the work will increase knowledge on nanofluids and offer a significant opportunity to improve the efficiency of many thermal engineering systems.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP230100485

    Funder
    Australian Research Council
    Funding Amount
    $423,000.00
    Summary
    Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynami .... Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynamics. The project should provide benefits to industries where highly organised behaviours are important, for example those interested in robot swarming, optimal transportation, and epidemic management. It should also benefit Australian students and researchers with novel overseas training opportunities.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP240101089

    Funder
    Australian Research Council
    Funding Amount
    $454,573.00
    Summary
    Mathematics to underpin and drive novel inertial microfluidic technologies. Particles suspended in flow through microfluidic ducts migrate under inertial and drag forcing to different regions in the cross-section depending on particle size, duct geometry and control parameters, enabling isolation of, for example, cancer cells/microplastics from a blood/water sample. Device design needs mathematical models yielding understanding of the particle dynamics, and tools for determining geometry and con .... Mathematics to underpin and drive novel inertial microfluidic technologies. Particles suspended in flow through microfluidic ducts migrate under inertial and drag forcing to different regions in the cross-section depending on particle size, duct geometry and control parameters, enabling isolation of, for example, cancer cells/microplastics from a blood/water sample. Device design needs mathematical models yielding understanding of the particle dynamics, and tools for determining geometry and control parameters. Particle boundary conditions strongly influence the inertial lift and drag forces that drive particle motion. This project will develop these mathematical tools for boundary conditions applicable to both passive and active particles, so driving development of novel devices for existing and new applications.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP240100506

    Funder
    Australian Research Council
    Funding Amount
    $521,114.00
    Summary
    Interactions of Human and Machine Intelligence in Modern Economic Systems. Much of modern economic systems are driven by machine-machine and machine-human interactions that happens rapidly at large scale. But such interactions are often opaque and can have negative or catastrophic consequences, such as market plunges with no apparent economic reasons in financial trading, content recommendations that promote extremism, algorithms in gig economy leading to worker exploitation and wasted resources .... Interactions of Human and Machine Intelligence in Modern Economic Systems. Much of modern economic systems are driven by machine-machine and machine-human interactions that happens rapidly at large scale. But such interactions are often opaque and can have negative or catastrophic consequences, such as market plunges with no apparent economic reasons in financial trading, content recommendations that promote extremism, algorithms in gig economy leading to worker exploitation and wasted resources. This project aims for new theoretical results and algorithms at the intersection computational economics, game theory, and dynamical systems, that establish conditions under which the economic systems are stable, propose mechanisms that make the interactions more fair, transparent and aligned with human values.
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    Showing 1-6 of 6 Funded Activites

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