* The lithosphere:** This is the rigid outermost layer of the Earth, including the crust and the uppermost part of the mantle.
* The asthenosphere:** This is a partially molten layer beneath the lithosphere, characterized by its ability to flow slowly over long periods.
So, while there isn't a single name for the entire upper mantle, "lithosphere" and "asthenosphere" are the scientific terms used to describe its constituent layers.