Analytical solutions for reconnective magnetic annihilation

Computer Science

Scientific paper

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Magnetohydrodynamics, Magnetic Reconnection

Scientific paper

Exact solutions of the resistive magnetohydrodynamics (MHD) equations for a stationary and incompressible plasma are presented. These solutions describe a particular kind of magnetic reconnection known as magnetic reconnective annihilation. The two dimensional (2D) case in polar coordinates is described first. Subsequently two ansatzs for 3D solutions in cylindrical and cartesian coordinates are presented. The former consists of a generalization of the previously described form for 2D solutions in curvilinear coordinates. The latter is its analogous counterpart in cartesian coordinates and it allows to derive new 3D solutions for fan reconnection.

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