Dynamical Systems and Partial Differential Equations (PDEs) Group

The research in this area focuses on a range of topics in analysis ranging from the pure to the applied end.

Pure mathematics

On the pure side, topics include:

  • Ergodic theory
  • Functional and fractal analysis
  • The rigorous analysis of ordinary and partial differential equations.

Applied mathematics

On the applied side methods are used to analyse partial differential equations (PDEs) in various contexts such as:

  • Nonlinear elastostatics
  • Pattern formation
  • Dispersive wave equations
  • Navier-Stokes equations
  • Delay equations.

Analysis on unbounded domains is of particular interest.

Research

A recent development involves the construction of solutions to the Schrödinger equation that describes the process of electron emission from a metal surface, a process of considerable technological importance in the design of flat displays.

Another dimension is the calculus of variations, a subject with a long history, which has developed fresh new directions in the twenty-first century. A typical example comes from nonlinear elasticity, where the cost of deforming an elastic solid is represented by an energy functional.

Research areas

The group's research interests include the following:

  • Quasiconvexity, elasticity and the calculus of variations
  • Interaction of patterns
  • Qualitative analysis of dissipative partial differential equations
  • Pinning, capture and release of fronts by localised inhomogeneities
  • Positivity of solutions to dissipative fourth-order PDEs
  • Hamiltonian systems with symmetry
  • Time semidiscretizations of semilinear PDEs.

Postdoctoral Fellowships

There are several external funding sources through various funding agencies (e.g. the EPSRC and STFC). Visit our Doctoral College site for more information.

Studentships

Take a look at our Mathematics, dynamical systems and PDEs studentship.

Events

Take a look at our seminars.

Our people

Academic staff

Research staff

PhD students

  • Mr Jacob Brooks
  • Mr Marcel Dengler

Contact us

Find us

Address
Department of Mathematics
AA Building, floor 4
University of Surrey
Guildford
Surrey
GU2 7XH