Analysis and Partial Differential Equations


The Analysis & Partial Differential Equations (APDE) research group is part of the Department of Mathematics in the School of Mathematical & Physical Sciences.

Research in this group spans a broad spectrum underpinned by the rigorous treatment and analysis of linear and nonlinear partial differential equations (PDEs).

This ranges from PDEs arising in geometry, physics and mechanics to those in control theory, finance and material sciences.

A core of our activities is on calculus of variations and geometric and harmonic analysis and there are subgroups with major interests in geometric measure theory, spectral theory, function spaces, dynamical systems, fluid mechanics, nonlinear elasticity and homogenisation.

For details see the Research tab.