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Article

Special Properties of Plane Solenoidal Fields

This version is not peer-reviewed.

Submitted:

14 June 2021

Posted:

15 June 2021

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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 open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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