On Beltrami fields with nonconstant proportionality factor on the plane
Mathematical Physics
2009-11-13 v2 math.MP
Abstract
We consider the equation rotB+aB=0 (1) in the plane with a being a real-valued function and show that it can be reduced to a Vekua equation of a special form. In the case when a depends on one Cartesian variable a complete system of exact solutions of the Vekua equation and hence of equation (1) is constructed based on L. Bers' theory of formal powers.
Cite
@article{arxiv.0704.1488,
title = {On Beltrami fields with nonconstant proportionality factor on the plane},
author = {Vladislav V. Kravchenko and Hector Oviedo},
journal= {arXiv preprint arXiv:0704.1488},
year = {2009}
}