I think this is a tricky issue faced by many people today. In the past, a publication with the same name and overlapping content would be fine, since the dissertation wasn't published in any formal sense. Today it is quite different. You need to avoid two things. The first is self plagiarism. This is using your old words/materials without citation. The second is having double publication of the same ideas with the intent of getting two publications for the "price" of one. Even if that isn't the intent, it can be so charged, to your detriment.
One way to avoid the problem, I think, is to consider the paper and the dissertation to be two versions of the same work, not two independent works. This works especially well if the paper is published first and the advisor and committee agree that the dissertation is "an expanded version" of the paper. The two versions reference each other.
If that is acceptable, then the paper notes that an expanded version will appear as the dissertation. And the dissertation notes that it is an expanded version of a previous paper (published or submitted).
To make it easy for people reading the paper to find the dissertation, give a citation. I think that naming it the same is a less important issue than that the two versions point to one another. But if both wind up published, then having similar but not identical names is probably better.
The problem with self plagiarism (and double publications) is that each version contains some context that is missing from the other. A scholar will want to see all of the context, including references and citations made, and so will want to be able to find the other version reasonably easily.
Note, importantly, that I've intentionally used tentative language here. Opinions may even vary by field.
In some fields a cumulative dissertation is pretty standard. A dissertation there is a collection of a few published papers with some introductory material and conclusion. But it is clear to everyone what it is. Make it clear.