Emeritus member of The Oxford Centre for Industrial and Applied Mathematics (OCIAM), University of Oxford
Dr Hilary Ockendon is an Emeritus member of the Oxford Centre for Industrial and Applied Mathematics, and Emeritus Fellow of Somerville College. Her research interests were initially in fluid dynamics but working in industrial mathematics has led her to problems in a wide variety of fields. The unifying theme of her work is the use of continuum models and the application of asymptotic methods to physical problems in order to provide useful simplifications and illuminate the model and its predictions.
Among problems on which she has worked in fluid mechanics are nonlinear wave propagation in gases including real gas effects and resonant sloshing in gases and liquids. Many industrially relevant problems involve thin layer models of viscous fluids, and similar mathematics can apply in very varied situations. Examples include injection moulding, concentration polarization in ultra filtration, contact lens modelling and the drying of paint. Following her early work in relaxing gases, she has had a continuing interest in two-phase flows and has developed several fluid-fibre and fibre-fibre interaction models for problems in the textile industry. This last example has proved a fruitful area of research for over ten years and resulted in one MSc and four PhD theses in collaboration with industry.