Representation of divergence-free vector fields

Barbarosie, Cristian

doi:10.1090/S0033-569X-2011-01215-2

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: 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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