On Beltrami fields with nonconstant proportionality factor on the plane

Details On Beltrami fields with nonconstant proportionality factor on the plane On Beltrami fields with nonconstant proportionality factor on the plane

2007-04-11

arxiv.org/abs/0704.1488v2

Reports on Mathematical Physics, 2008, Volume: 61 Issue: 1 Pages: 29-38.

Physics

Mathematical Physics

Scientific paper

10.1016/S0034-4877(08)00009-8

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.

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