Applied Mathematics Theses
Areas of particularly strong research activity are: numerical analysis, plasma physics, solar and magnetospheric theory, and vortex dynamics.
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Recent Submissions
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Electron acceleration in auroral field-aligned currents
(University of St Andrews, 1006-11-30) - ThesisField-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
(University of St Andrews, 2019-12-03) - ThesisFootpoint 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
(University of St Andrews, 2019-12-03) - ThesisMetastatic 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
(University of St Andrews, 2019-06-25) - ThesisIn 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 ... -
Mathematical modelling of tumour-immune competition tumour growth : discrete and continuum approaches
(University of St Andrews, 2019-12-03) - ThesisThe ability of the human immune system to detect and remove cancer cells is exploited in the development of immunotherapy techniques. However, further understanding of these mechanisms is required and can be achieved through ...
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