Applied Mathematics Theses

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

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Recent Submissions

Magnetohydrodynamic waves in the solar corona : a mathematical investigation of the role of resonant absorption and phase mixing in coronal heating

Prokopyszyn, Alexander (University of St Andrews, 2021-06-29) - Thesis

Background: The Sun is a massive and highly dynamic ball of plasma, and oscillations in kinetic and magnetic energy are commonplace throughout its atmosphere. Since the plasma conducts electricity, we model the fluid using ...
A model for solar flares and coronal heating based on magnetohydrodynamic avalanches

Reid, Jack (University of St Andrews, 2020-12-01) - Thesis

The coronal heating problem addresses how temperatures in the solar atmosphere increase by millions of degrees, moving up from the cool surface, into the upper reaches of the atmosphere. This heating, known to be attributable ...
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 ...