The Research Centre for Mathematics carries out world-class research in applied mathematics, pure mathematics, and statistics. Within applied mathematics, our research has three major themes: fluid dynamics and acoustics; solid mechanics and nonlinear elasticity; and biomechanics. Much of this research has great relevance to contemporary human affairs, for example the environment and health.
A unifying aspect 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. Our research work has unlimited applications in engineering, biology, and medicine.
Our research themes
Research in aeroengine and submarine noise; waves and instabilities in boundary layers on aircraft wings; fingering instabilities in thin film flows; waves and tsunamis; fluid turbulence and applications of fluid dynamics to geophysics, especially the atmosphere and oceans, and in volcanic lava flows.
Research in elastic waves and vibrations; stability and pattern formation problems associated with smart materials and structures; structural vibrations induced by fluid flow; thin shells, plates, and rods; ground vibrations produced by high-speed trains; mechanics of multi-layered media; localized dynamic phenomena.
Theme lead: Professor Y. Fu
Theme members: Professor C. J. Chapman, Professor J. D. Kaplunov, Dr D. Prikazchikov, Dr L Prikazchikov, Dr M Nieves.
The main focus is on dynamic homogenization for periodic and functionally graded structures, vibration of carbon nano tubes, nano indentation, and boundary layers within non-local continuum models.
Research in regenerative medicine and tissue engineering applications, aneurysm rupture in arteries, physiological flow in the lungs and fluid flow dynamics in mechanical thrombectomy devices.
Theme lead: Dr S. Naire
Theme members: Professor Y. Fu
Research in Algebra, Number Theory, and Logic. We study algebraic structures and their applications to problems arising in algebraic geometry, number theory, and combinatorics. Our work in Logic focuses on intuitionism, including implications for mathematical physics.