Geodesic
Transformation that changes the geometric structure of a~vector field
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 111-121

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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. 
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     title = {Transformation that changes the geometric structure of a~vector field},
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V. P. Vereshchagin; Yu. N. Subbotin; N. I. Chernykh. Transformation that changes the geometric structure of a~vector field. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 111-121. http://geodesic.mathdoc.fr/item/TIMM_2009_15_1_a8/