Dynamical Systems and Partial Differential Equations 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.

Our 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 semi-discretizations of semilinear PDEs.

Our people

Academic staff

Werner Bauer profile image

Dr Werner Bauer

Lecturer in Mathematics

Dr Jonathan Deane

Senior Lecturer

Gianne Derks profile image

Professor Gianne Derks

Professor of Mathematics

Professor Mark Roberts

Emeritus Professor

Professor Sergey Zelik

Programme Leader

Research staff

Natalia Jurga

Research Fellow

Anna Kostianko profile image

Dr Anna Kostianko

Research Fellow

Dr Zisis Sakellaris

Research fellow

Postgraduate research students

Johannes Benthaus profile image

Johannes Benthaus

Postgraduate Researcher