School of Computing and Mathematics
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- Centre for Mathematics Research /
- Applied Mathematics
Applied Mathematics
We carry out research in fluid dynamics and acoustics; solid dynamics and elasticity; biomechanics; and asymptotic methods.
Research Overview
A unifying theme of our research is the theory of waves and stability in continuous media. This theory is of fundamental importance both in the development of new mathematical methods, and in explaining the world around us.
Research areas:
Fluid Dynamics and Acoustics
The research in this area is concentrated on the following topics:
- Aeroengine and submarine noise
- Waves and instabilities in boundary layers on aircraft wings
- Fingering instabilities in thin film flows
- Tsunamis and other giant waves
- Applications of fluid dynamics to geophysics, especially the atmosphere and oceans, and vocanic lava flows
Academic staff working in this area are Professor C. J. Chapman, Professor J. J. Healey, Dr S. Naire, and Professor V. I. Shrira, together with the post doctoral researcher Dr S. Annenkov.
Theoretical Solid Mechanics
The research includes the following topics:
- Elastic waves and vibrations in waveguides
- The mathematical theory of nonlinear elasticity
- Structural vibrations induced by fluid flow
- The mathematics of thin elastic layers
- Ground vibrations produced by high-speed trains
- Waves in multi-layered elastic media
Academic staff working in this area are Professor C. J. Chapman, Professor Y. Fu, Professor J. D. Kaplunov, Dr D. Prikazchikov, and Professor G. A.Rogerson.
Biomechanics and Biomedical Engineering
The research in this area is focused on the following topics:
- Manipulation of stem cells
- Aneurysm ruptures in arteries
- Physiological flow in the lungs
- Tissue engineering and regenerative medecine
Academic staff working in this area are Professor Y. Fu and Dr S. Naire.