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A Green's-function method for 3-D MHS equilibria
Gordon Petrie (St. Andrews)
We present for the first time self-consistent three-dimensional solutions
of the MHS equations calculated by a Green's function method. This allows
the construction of MHS solutions with arbitrary Dirichlet or von Neumann
boundary conditions. These solutions can be used to extrapolate coronal
magnetic fields from known photospheric field data and provide a
self-consistent description of magnetic field, plasma pressure, plasma
density and plasma temperature. The method therefore allows a much more
complete reconstruction of solar coronal structures than is possible by
potential or linear force-free field extrapolation. We will demonstrate
this property by showing simple examples.
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