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Special Properties of Plane Solenoidal Fields
Version 1
: Received: 14 June 2021 / Approved: 15 June 2021 / Online: 15 June 2021 (15:28:07 CEST)
A peer-reviewed article of this Preprint also exists.
Semenov, V.I. Special Properties of Plane Solenoidal Fields. Mathematics 2021, 9, 1863. Semenov, V.I. Special Properties of Plane Solenoidal Fields. Mathematics 2021, 9, 1863.
Abstract
There are given algebraic and integral identities for a pair or a triple of plane solenoidal fields. As applications, we obtain sufficient potentiality conditions for a plane vector field. The integral identities are also important for exact a priori estimates.
Keywords
solenoidal field; potential field; Helmholmtz-Weyl decomposition
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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