iPhones and Dysons: using fluid dynamics to tailor technology
Ian Griffiths, University of Oxford

As technology continues to advance, new strategies involving a range of scientific disciplines are required. Mathematicians can provide frameworks to predict operating regimes and manufacture techniques. In this talk we present two case studies: the fabrication of precision glass, for smartphones and new flexible devices; and the development of superior filters for vacuum cleaners. In each case we use asymptotic analysis to derive a model that determines the fabrication protocol required to produce a desired final product.