vector potential

Let $ \vec{U} = \vec{U}(x,\,y,\,z)$ be a vector field in $ \mathbb{R}^3$ with continuous partial derivatives. Then the following three conditions are equivalent:

Under those conditions, the vector field $ \vec{U}$ is called solenoidal.

Bibliography

1
K. V¨AISÄLÄ: Vektorianalyysi. Werner Söderström Osakeyhtiö, Helsinki (1961).



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