2009•Proceedings of the Steklov Institute of MathematicsRequires access
On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings
Н. И. Черных, Yu. N. Subbotin, В. П. Верещагин
Open publisher page 3 citations
Abstract
A solution is given for the problem of constructing a unit vector field collinear to the field of its curl. The solution is based on the use of a suitably parametrized orthogonal transformation of a unit vector field that is potential in ℝ 3 . The result is stated in the theorem that contains the recipe for constructing the required field.