On Beltrami fields with nonconstant proportionality factor on the plane - Mathematical PhysicsReport as inadecuate




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Abstract: We consider the equation rotB+aB=0 1 in the plane with a being areal-valued function and show that it can be reduced to a Vekua equation of aspecial form. In the case when a depends on one Cartesian variable a completesystem of exact solutions of the Vekua equation and hence of equation 1 isconstructed based on L. Bers theory of formal powers.



Author: Vladislav V. Kravchenko, Hector Oviedo

Source: https://arxiv.org/



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