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. 2021;5(5):10.1088/2399-6528/abfa27.
doi: 10.1088/2399-6528/abfa27.

Vectorizing Green's identities

Alex J Yuffa  1
Affiliations

Vectorizing Green's identities

Alex J Yuffa. J Phys Commun. 2021.

Abstract

Green's theorem and Green's identities are well-known and their uses span almost every branch of science and mathematics. In this paper, we derive a vector analogue of Green's three scalar identities and consider some of their uses. We also offer a number of historical tidbits in connection to the work of George Green.

Keywords: George Green; Kirchhoff formula; Stratton-Chu formula; vector Green’s identities; vector Green’s theorem.

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Figures

Figure 1.
Figure 1.
Volume Ω with boundary ∂Ω and an outward unit-normal N are shown.
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