Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Representation of divergence-free vector fields


Author: Cristian Barbarosie
Journal: Quart. Appl. Math. 69 (2011), 309-316
MSC (2000): Primary 26B12; Secondary 53A45, 53C65, 58A10, 58A25
DOI: https://doi.org/10.1090/S0033-569X-2011-01215-2
Published electronically: March 9, 2011
MathSciNet review: 2814529
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Abstract | References | Similar Articles | Additional Information

Abstract: This paper focuses on a representation result for divergence-free vector fields. Known results are recalled, namely the representation of divergence-free vector fields as curls in two and three dimensions. The representation proposed in the present paper expresses the vector field as an exterior product of gradients and remains valid in arbitrary dimensions. Links to computer graphics and to partial differential equations are discussed.


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Additional Information

Cristian Barbarosie
Affiliation: CMAF, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal
Email: barbaros@ptmat.fc.ul.pt

DOI: https://doi.org/10.1090/S0033-569X-2011-01215-2
Received by editor(s): October 5, 2009
Published electronically: March 9, 2011
Article copyright: © Copyright 2011 Brown University


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