Title: On the potential of a solenoidal vector field
Abstract: The solution to the problem of expressing a solenoidal, differentiable vector field as the curl of another vector field is given for any region deformable to star-shape external to a sphere. The given solenoidal vector field is not required to vanish at infinity. The method is then extended to a more general case of regions deformable to a star-shape region with spherical cuts, which is equivalent to that given byA. F. Stevenson (Quart. Appl. Math., 12 (1954), 194–198), but without the requirement that the given solenoidal vector must vanish at infinity. The technique is then compared to another technique using Monge's potentials.
Publication Year: 1990
Publication Date: 1990-09-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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