Research in this group utilises analytical and numerical tools for problem-solving in applied mathematics. We benefit from close research ties with other centres in the Norwich Research Park, notably the School of Environmental Sciences, the Institute of Food Research, and the John Innes Centre. We treat problems where forcing is due to air flow, impact forces, capillarity, electric fields, ultrasound, surfactants, ship motion and elastic forces.
For details of potential PhD research topics in this area, please see Mathematics PhD Projects in Fluid and Solid Mechanics.
Work in the group is wide in scope, but falls broadly into the following application areas:
In addition, applied mathematicians within the School of Mathematics also work on a range of fundamental problems in continuum mechanics. These areas of research include:
Oscillating viscous flows: oscillating stagnation-point flows; time-averaged or acoustic streaming, with application to containerless processing in a low gravity environment; instability of flow through an elastic-walled tube. (Dr M G Blyth, Dr P W Hammerton, Prof N Riley, Dr Robert Whittaker)
Splashes and droplet impact: small-time behaviour, air-cushioning; three-dimensional impacts; influence on aircraft icing. (Dr R Purvis)
Mechanics of Solids: research focuses on aspects of elastic wave propagation in crystalline media and constrained and nearly-constrained elastic, thermoelastic and viscoelastic solids, including energy propagation, surface waves, plate waves, and wave hierarchies in thermoelasticity. Also studied are materials with negative Poisson's ratio and incremental elastic moduli in finite elasticity. (Dr N H Scott)
Numerical Methods: Research into higher-order numerical methods for hyperbolic partial differential equations, with an emphasis in discontinuous Galerkin methods. (Dr J Ryan)
In addition, the UEA School of Mathematics is part of the Complex Systems with Interfaces (COSI) research network. The network was set up 2015 and is hosted jointly by the Schools of Mathematics at the University of Birmingham, the University of Nottingham, and the University of East Anglia. Researchers in the network study complex interfacial problems, including multiphase flows, tumour growth, and geophysical flows. The group organises three one-day meetings a year.