Integral equations in MHD: theory and application
arXiv:1111.2164 · doi:10.1080/03091929.2012.677443
Abstract
The induction equation of kinematic magnetohydrodynamics is mathematically equivalent to a system of integral equations for the magnetic field in the bulk of the fluid and for the electric potential at its boundary. We summarize the recent developments concerning the numerical implementation of this scheme and its applications to various forward and inverse problems in dynamo theory and applied MHD.
17 pages, 4 figures