The University of Sheffield
Applied Mathematics
The department has the following research groups.

Environmental Dynamics

Research of this group is well known in the areas of Synthetic Aperture Radar, HF Radar Remote sensing, Turbulent diffusion and Meteorology. Some of its research is facilitated by NERC Centre of excellence for Terrestrial Carbon Dynamics and the group members enjoy a wide range of research collaborations.



Fluid Dynamics

This group's research covers a wide spectrum of topics in fluid dynamics. It covers vortex dynamics and turbulence, including basic problems of the Navier-Stokes equations, differential geometric characterisation of Lagrangian stability and possible singularity formation in Euler flows. The group also has interests in engineering fluid dynamics, particularly in microfluidic rheology and in interfacial flows, including the Marangoni effect. Acoustic waves, e.g. digitised speech patterns, are also studied.



Nonlinear Control

Recent research in the group has involved adaptive backstepping control, the second-order sliding mode, the control of nonminimum phase systems, nonlinear sliding observer theory and the realisation of nonlinear discrete-time systems. These areas are under investigation, both in their theoretical aspects and in applications.



Particle Astrophysics and Gravitation

The group's interests are in Cosmology, Gravitation and Black Holes. It seeks to understand how the universe expands, why its expansion is accelerating, the classical and quantum behaviour of black holes, and the fundamental theory of space and time.



Solar Physics and Space Plasma Research Centre

The work of this centre is at the forefront of addressing theoretical and observational issues in solar physics that include Helioseismology and Coronal-seismology. This centre is one of the largest and most dynamic solar physics research groups in the country and is well renowned internationally.



School-wide groups


Analysis

The analysis group is a school-wide collection of mathematicians who share a common interest in the development and use of analytic techniques. We encompass real, complex, functional, harmonic, numerical and stochastic analysis; operator algebras and analytic K-theory; analysis on groups, graphs, manifolds and other structures; ordinary, partial and stochastic differential equations; chaos, fractals and dynamical systems; applications of analytic methods to concrete problems in e.g. number theory, topology, probability theory, fluids and physics.