Home Research OxPDE Research Group - Oxford Centre for Nonlinear Partial Differential Equations OxPDE Research Topics Research areas The centre focuses on the fundamental analysis of PDEs, and numerical algorithms for their solution, together with specific PDEs arising in wide-ranging areas. Research interests include: Calculus of Variations Fluid Mechanics Free Boundary and Moving Interfaces Geometric Analysis Homogenization Infinite-Dimensional Dynamical Systems Inverse Problems Kinetic and Mean-Field Equations Nonlinear Hyperbolic Systems Numerical Analysis of Nonlinear PDEs Optimal Transport Relativity Stochastic PDEs