On the link between the two-dimensional hydrodynamics and the three-dimensional (3-D) magnetostatic: A new method for obtaining a 3-D solution of the magnetostatic equilibrium

摘要

It is shown that a formal link relates two-dimensional nonstationary hydrodynamic solutions to the three-dimensional solutions of the magnetostatic equilibrium. This method is used for obtaining new exact analytical solutions of the magnetostatic equilibrium (flux rope type) from known hydrodynamics solutions (point vortex type). (C) 2001 American Institute of Physics. [References: 11]