About the Project
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/
Eligible applicants will be considered for UK research council funding (STFC) if available.
Applicants graduating from a Scottish university may be eligible to apply for a Carnegie PhD Scholarship (for details see https://www.st-andrews.ac.uk/study/fees-and-funding/postgraduate/scholarships/carnegie-caledonian/, please note the deadline of 12 January 2021).
Applicants with Chinese citizenship may be eligible for funding by the China Scholarship Council (for details see https://www.st-andrews.ac.uk/study/fees-and-funding/postgraduate/scholarships/china-scholarship-council/ , deadline 7 January 2021).
J. D. B. Hodgson and T. Neukirch,"On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear", Geophysical and Astrophysical Fluid Dynamics, 109, 524 - 537 (2015).
M. K.-H. Kiessling and T. Neukirch, "Negative Specific Heat of a Magnetically Self-Confined Plasma Torus,'' Proceedings of the National Academy of Sciences of the United States of America, 100, 1510-1514 (2003).
Z. Romeou and T. Neukirch, "On the Application of Numerical Continuation Methods to the Calculation of Magnetostatic Equilibria", Journal of Atmospheric and Solar-Terrestrial Physics, 64, 639-644 (2002)
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