Areas of particularly strong research activity are: numerical analysis, plasma physics, solar and magnetospheric theory, and vortex dynamics.

For more information please visit the School of Mathematics and Statistics home page.

Recent Submissions

  • Numerical modelling of MHD waves in coronal loops 

    Van Damme, Hendrik-Jan (University of St Andrews, 2020-12-03) - Thesis
    Waves in the solar corona have been investigated for many years, as a potential coronal heating mechanism and in the context of coronal seismology, and they play an important role in our understanding of the solar corona. ...
  • Electron acceleration in auroral field-aligned currents 

    Cran-McGreehin, Alexandra P. (University of St Andrews, 2006-11-30) - Thesis
    Field-aligned currents at Earth's high latitudes are principally carried by accelerated electrons. Current densities, typically ~µAm⁻² at ionospheric altitudes, are sustained by parallel potential drops of ~100 - 1000 V. ...
  • Modelling solar coronal magnetic field evolution 

    Goldstraw, Erin Elizabeth (University of St Andrews, 2019-12-03) - Thesis
    Footpoint motions at the photosphere can inject energy into the magnetic field in the solar corona. This energy is then released in the corona as heat. There are many mathematical approaches to model the evolution of these ...
  • Mathematical modelling of cancer invasion and metastatic spread 

    Franssen, Linnea Christin (University of St Andrews, 2019-12-03) - Thesis
    Metastatic spread—the dissemination of cancer cells from a primary tumour with subsequent re-colonisation at secondary sites in the body—causes around 90% of cancer-related deaths. Mathematical modelling may provide a ...
  • Theoretical models of charged particle acceleration motivated by solar flares 

    Borissov, Alexei (University of St Andrews, 2019-06-25) - Thesis
    In this thesis we examine non-thermal particle behaviour in the presence of modelled electromagnetic fields motivated by various aspects of solar flares. We first investigate particle dynamics in magnetic reconnection ...

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