Maxwell deserves a large and conspicuous lunar crater named after him. The actual Naxwell crater reflects the fact that his reputation didn't really raise him to the very pinnacle of physics for his achievements in a range of fields until into the 20th century. By then all the visible large craters had been named, and many others. The Maxwell crater is large (107 km across) but it can't been seen from Earth since it's at the back of the Moon (incorrectly called the 'dark side of the Moon' by many but just as well illuminated as the side we see). The Russian Luna 3 probe took the first grainy images of the back of the Moon in 1959. Even on this picture it was clear that the back of the Moon was different in appearance from the front, containing many more craters. (The main reason for this difference is that very old craters have been flooded by basalt eruptions on the near side of the Moon, creating the extensive 'maria'). Many of the craters on the far side have been named after notable Russian scientists but by no means all. You can find names from Popov, the radio pioneer, through Tsiolokovsky, the space travel visionary who was alive in Maxwell's day, to Korolev, the great Russian rocket designer, to cosmonauts Gargarin and Tereshkova. There are also many very familiar names from 'the West' and Maxwell is among them. His presence was confirmed in 1961 by the International Astronomical Union (IAU). His crater is located at 30.2° N, 98.9° E.

Maxwell crater, as can be seen from the image (right), has had part of its wall demolished by the adjacent crater, named after the very talented 18th century Russian Academician Mihkail Lomonosov - a good man to be next to who has a university in Moscow named after him and whose house in St Petersburg can still be visited. Craters on Mercury, none of which are visible from the Earth, are named after those distinguished in 'The Arts'; craters on Mars, which has fewer, are named mainly after places.

References: For a list of crater names at the back of the Moon and a view of the Moon centred above any crater see Fourmilab https://www.fourmilab.ch/earthview/lunarform/cratfar.html.

For an image of the far side of the Moon annotated with the names of craters over 20 km in diameter see https://the-moon.wikispaces.com/Maurice+Collins%27+Farside+Map