Green's second identity for vector fields
type: Item
instance of: scholarly article
title: Green's second identity for vector fields
zbMATH Open document ID: 1253.26018
DOI: 10.5402/2012/973968
published in: ISRN Mathematical Physics
publication date: 2012-10-08T00:00:00Z
review text: Summary: The second derivative of two vector functions is related to the divergence of the vector functions with first order operators. Namely, \textbf{P} \(\cdot \nabla^2\) \textbf{Q} - \textbf{Q} \(\cdot \nabla^2\) \textbf{P} \(= \nabla \cdot [\)\textbf{P}\((\nabla \cdot\) \textbf{Q}) - \textbf{Q}\((\nabla \cdot\) \textbf{P}) + \textbf{P} \(\times \nabla \times\) \textbf{Q} - \textbf{Q} \(\times \nabla \times\) \textbf{P}].
Mathematics Subject Classification ID: 26B12
zbMATH DE Number: 6092174
zbMATH Keywords: divergence
zbMATH Keywords: first order operators
author: M. Fernández-Guasti
MaRDI profile type: Publication
Wikidata QID: Q58905602
full work available at URL: https://doi.org/10.5402/2012/973968
OpenAlex ID: W2084117811
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description: scientific article; zbMATH DE number 6092174