title: Determination of a flow generating a neutral magnetic mode.
abstract: The problem of the reconstruction of a flow of conducting incompressible fluid generating a given magnetic mode is considered. We use the magnetic induction equation to derive ordinary differential equations along the magnetic field lines, which gives an opportunity to determine the generating flow if additional data is provided on a two-dimensional manifold transversal to magnetic field lines, and show that an arbitrary solenoidal vector field cannot be a neutral magnetic mode sustained by any flow of conducting fluid, unless a scalar consistency condition is satisfied at every point within the fluid volume.
authors.affiliation: International Institute of Earthquake Prediction Theory and Mathematical Geophysics, 84/32 Profsoyuznaya Street, 117997 Moscow, Russian Federation.
authors.forename: Vladislav
authors.initials: V
authors.lastname: Zheligovsky
mesh_terms: D003198:Computer Simulation; D008280:Magnetics; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*