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Professor Elaine Crooks

Professor, Mathematics

Telephone number

+44 (0) 1792 602387

Research Links

Office - 324
Third Floor
Computational Foundry
Bay Campus
Available For Postgraduate Supervision

About

My main research area is the analysis of nonlinear partial differential equations, particularly singular limits of nonlinear elliptic and parabolic PDE, asymptotic behaviour of reaction-diffusion systems, and front propagation and spreading speeds, motivated by applications such as switching properties of liquid crystals, phase transitions of materials, strongly competitive interactions and spatial segregation in population dynamics, and the characterization of the speed of spread of ecological invasions. An additional interest is the analysis of compensated convex transforms and their applications to geometric singularity detection, and, via a numerical implementation, the detection of features in images or data, removal of noise from images, identification of intersections between surfaces, etc.

Areas Of Expertise

  • Nonlinear partial differential equations
  • Singular limits of elliptic and parabolic systems
  • Reaction-diffusion-convection systems and travelling waves
  • Applications of PDE to biology
  • Geometric methods for image processing