Small research grants
Small research grants
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Partial Differential Equations are useful because they describe change, and change of course happens all around us all of the time.
Mathematical descriptions of physical systems are typically phrased in terms of rates of change, or derivatives. A differential equation is an equation involving the derivatives of a function, and solving it amounts to finding the function itself. What is exciting about PDEs is their universal applicability and their flexibility in allowing us to try to model and understand changes in different systems.
The cluster is led by Professor Gui-Qiang Chen, a prize-winning mathematician working on theoretical PDEs.
Others in the cluster are working on more applied areas, one of which is the mathematical modelling of liquid crystals. Liquid Crystal Displays (LCDs) are of course ubiquitous today and have widespread applications in science and industry. Their performance is controlled by an intricate combination of a variety of factors such as optical properties, elastic effects and defects, but the underlying microscopic structure, which is often poorly understood, is fundamental. Systematic mechanisms for transferring information between microscopic and macroscopic scales are recognized to be a major challenge for modern liquid crystal science.
Cluster member Dr Apala Majumdar is a leader in the field of liquid crystals and the mathematical basis of this underlying microscopic structure. Work is progressing on developing bistable LCDs, rather than the monostable devices now in use. This has significant benefits for the consumption of electricity because bistable LCDs are distinctive in the sense that they require power only to switch between optically contrasting states but not to support these states individually.
The cluster has recently formed a new interdisciplinary network on the mathematical modelling of juvenile crime in Barbados and generally mathematical modelling of social phenomena with researchers from Developmental and Experimental Psychology here in Oxford. A list of the work done so far can be found below.
Mathematical modelling of juvenile crime and social phenomena.
We explore the new area of research that members of the Complexity Cluster are working in.
Tuesday 21 March, 2017
Complexity Lecture by Prof. Nathalie Katsonis
Prof. Nathalie Katsonis (Twente University, The Netherlands) gave a talk on February 5th entitled “Bio-inspired approaches towards...
Wednesday 23 March, 2016
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