Abstract:
A method is proposed of constructing vector fields with certain vortex properties by means of transformations
changing the value of the field vector at every point, the form of field lines, and their mutual position. We discuss
and give concrete examples of the prospects of using the method in applications involving solution of partial
differential equations, including nonlinear ones.
Keywords:vector fields, mutual orientation of a field and the field of its curl, mapping of vector fields.