Focussing on the fundamental analysis of partial differential equations, and numerical algorithms for their solutions.
The Centre is a vibrant and stimulating research environment, providing leadership in the area of nonlinear partial differential equations (PDE) within the UK. PDEs are ubiquitous in almost all applications of mathematics, where they provide a natural mathematical description of many phenomena. The behaviour of every material object, with length scales ranging from sub-atomic to astronomical and timescales ranging from picoseconds to millennia, can be modelled by PDE or by equations having similar features.
Research focuses on the fundamental analysis of nonlinear PDE, and numerical algorithms for their solution. Current areas of interest include the calculus of variations, nonlinear hyperbolic systems, inverse problems, homogenization, infinite-dimensional dynamical systems, geometric analysis and PDE arising in solid and fluid mechanics, materials science, liquid crystals, biology and relativity. Amongst other initiatives we run an active visitor programme, an events programme, a dedicated technical report series and host national events and visitors calendars for the PDE community.
The Centre is involved with the recently established EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and Applications.