Physics – Plasma Physics
Scientific paper
2002-12-02
Physics
Plasma Physics
14 pages, 4 figures. Accepted for publication in Physics of Plasmas
Scientific paper
10.1063/1.1540094
Exact solutions of the steady resistive three dimensional (3D) magnetohydrodynamics (MHD) equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with non vanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.
Hornig Gunnar
Tassi Emanuele
Titov Viacheslav S.
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