Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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.

Journal reference: Mathematics 2021, 9, 1863
DOI: 10.3390/math9161863

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

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.