Professor Elaine Crooks
Professor
Mathematics
Telephone: (01792) 602387
Room: Office - 324
Third Floor
Computational Foundry
Bay Campus

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

Publications

  1. Zhang, K., Crooks, E., Orlando, A. Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data, and Inpainting SIAM Journal on Imaging Sciences 11 4 2368 2428
  2. Crooks, E., Grinfeld, M., McKay, G. Minimality conditions for wave speed in anisotropic smectic C∗ liquid crystals Mathematical Methods in the Applied Sciences 41 1 88 102
  3. Zhang, K., Crooks, E., Orlando, A. Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations SIAM Journal on Mathematical Analysis 48 6 4126 4154
  4. Crooks, E., Hilhorst, D., Crooks, E. Self-similar fast-reaction limits for reaction–diffusion systems on unbounded domains Journal of Differential Equations 261 3 2210 2250
  5. Al-Kiffai, A., Crooks, E. Lack of symmetry in linear determinacy due to convective effects in reaction-diffusion-convection problems Tamkang Journal of Mathematics 47 1 51 70

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Teaching

  • MA-101 Introduction to Analysis 1

    The module introduces basic concepts such as sets, functions, completeness, sequences and series.

  • MA-102 Introduction to Analysis 2

    The module introduces fundamental concepts such as limits, continuity, differentiability and integrability.

  • MA-E01 Year Abroad

    Students are required to select appropriate maths modules. The modules chosen are detailed within a Learning Agreement which must be approved by the Study Abroad Co-ordinator at Swansea University before the student leaves Swansea.

  • MAW101 Cyflwyniad i Ddadansoddi 1

    The module introduces basic concepts such as sets, functions, completeness, sequences and series.

  • MAW102 Cyflwyniad i Ddadansoddi 2

    The module introduces fundamental concepts such as limits, continuity, differentiability and integrability.

Supervision

  • Mathematical analysis of Thomas-Fermi theory for graphene (current)

    Student name:
    MPhil
    Other supervisor: Prof Vitaly Moroz
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Prof Norman Dancer
  • Existence and Qualitative Properties of Solutions to Non Linear Schodinger-Poisson Systems (current)

    Student name:
    PhD
    Other supervisor: Dr Carlo Mercuri
  • Asymptotic behavior of reaction-diffusion systems with strong interaction (current)

    Student name:
    PhD
    Other supervisor: Dr Carlo Mercuri
  • Analysis of parabolic systems on a changing environment (current)

    Student name:
    PhD
    Other supervisor: Prof Vitaly Moroz
  • The role of polymorphism, mutation and trade-offs in spreading speeds of biological invasions (awarded 2019)

    Student name:
    PhD
    Other supervisor: Prof Luca Borger
  • Topics on Hamiltonian Dynamics Related to symbols of certain Schrodinger operators associated with generators of Levy processes. (awarded 2018)

    Student name:
    PhD
    Other supervisor: Prof Niels Jacob