Helmholtz's theorem

Helmholtz's theorem

[′helm‚hōlt·səz ‚thir·əm]
(electricity)
(fluid mechanics)
The theorem that in the isentropic flow of a nonviscous fluid which is not subject to body forces, individual vortices always consist of the same fluid particles.
(mathematics)
The theorem determining a general class of vector fields as being everywhere expressible as the sum of an irrotational vector with a divergence-free vector.
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The mathematical basis for each step is Helmholtz's theorem that states that a vector field is determined to within an additive constant if both its divergence and curl are specified everywhere.