- #1

TrickyDicky

- 3,507

- 27

I understand a solenoidal vector field implies the existence of another vector field, of which it is the curl: [tex]S=\nabla X A[/tex] because the divergence of the curl of any vector field is zero.

But what if the vector field is conservative instead? I guess in this case it is not necessarly implied the existence of a vector potential.

How about in the case of a laplacian vector field, that is both conservative and solenoidal, does it imply the existence of a vector potential?