hey pf!(adsbygoogle = window.adsbygoogle || []).push({});

so if i have a vector field [itex] \vec{V}[/itex] and i know [itex] \nabla \cdot \vec{V}=0[/itex] would i be able to express [itex] \vec{V}[/itex] in the following manner: [itex] \vec{V}= \nabla \times \vec{f}[/itex] for some [itex] \vec{f}[/itex]since we know this automatically satisfies the divergent free requirement?

if not, what must be assumed in order to claim that such an [itex] \vec{f}[/itex] exists?

thanks for your time!

josh

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# Divergent free question

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