Currently, the divergence tag seems to be used for both the divergence of vector fields and the divergence of a sequence/series/integral. There is no tag-wiki. It currently has 307 questions.
It seems to me that the tag should not be applied to both. In particular, I don't think it's necessary to have a tag about divergence in the second sense, since there is already a convergence tag (with about 10 000 questions) and a divergent-series tag (with about 1000 questions).
I suggest editing the tag-wiki and renaming the tag (as suggested by Martin Sleziak in the comments) to restrict to the divergence of vector fields, and editing the tag out of the questions about divergence of series or others.
Note that there has already been a question about this tag, but the solution suggested by Daniel Fischer is different from my suggestion above. I think a tag about divergence of vector fields could be useful, which is why I suggest we keep it; but I am not opposed to Daniel's suggestion either.