Three-dimensional steady compressible perturbations in the magnetohydrodynamic solar wind

Physics

Scientific paper

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Compressibility Effects, Magnetohydrodynamic Stability, Perturbation Theory, Plasma Oscillations, Solar Wind, Solar Magnetic Field, Steady State

Scientific paper

A steady 3D MHD perturbation formulation for inhomogeneous solar wind stream structures is presented. Analytical solutions are derived for asymptotic behaviors of 3D compressible MHD perturbations at a large radial distance, r, in a background radial wind of spherical symmetry. There are three independent perturbation solutions at large r. Since they are related by the two regularity conditions at the MHD slow and fast critical points, the leading asymptotic radial scalings of the relevant compressible MHD perturbation variables are the same as those of the background variables at large r. Complete numerical solutions in the entire radial range, which smoothly pass through the MHD slow and fast critical points, are obtained. An axisymmetric model for steady MHD solar wind structures in the presence of solar differential rotation is also presented.

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