Static solutions of the magnetohydrodynamic (MHD) equations are often used to model magnetic fields of astrophysical systems in a relatively simple way, for example to interpret observational data or as a starting point for theoretical investigations.
This PhD project on magnetohydrostatic (MHS) equilibria will focus on 3D MHS equilibria with an emphasis on numerical methods and applications to magnetic fields in the solar corona. In particular, the project aim would be to develop and use a 3D numerical continuation method code to calculate sequences of MHS equilibria, determine their bifurcation properties and apply the results to, for example, models of solar eruptions.
A PhD project on this topic would involve extending previous work (see references) based on a continuation method for 2D (symmetric) MHS equilibria. This project requires an aptitude for coding and an interest in numerical methods.
For more details about the group, please visit our website: http://www-solar.mcs.st-and.ac.uk/.
For information about the School and the application procedure in general, please see: https://www.st-andrews.ac.uk/mathematics-statistics/prospective/pgr/
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