Three-dimensional magnetohydrostatic models of coronal structures
Thomas Neukirch (St. Andrews)
In this talk I will discuss the theory of magnetohydrodynamic equilibria
and their applicability to model plasma structures in the solar corona
from different points of view. Special attention will be paid to
the theory of three-dimensional equilibrium solutions. After providing a
general theoretical framework for equilibrium models of coronal plasma
structures, I will review the theory of analytical magnetohydrostatic
solutions and present some new results which have enhanced the potential
for their application, especially for magnetic field
extrapolation, considerably.
Another important aspect of MHD equilibrium theory results from
the fact that one can consider the corona as an extremely complicated
dynamical system. Following the general approach of dynamical systems theory,
it is useful to start the investigation of such a system by considering
the bifurcation and stability properties of the stationary states first.
Such an approach can for example provide a basis to find criteria for the
onset of eruptive processes.
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