Dystopia (from Ancient Greek δυσ- "bad" and τόπος "place") was an alternative to Cacotopia or Kakotopia and now we see coined terms such as "Fauxtopia"
One early form in 1747 was “Dustopia” as an antonym by Henry Lewis Younge in his "Utopia or Apollo’s Golden Days"
However the modern use (18th century onwards) is more commonly applied to describe the social order of a dystopian society rather than a physical locality.
Most popular dystopian writings avoid using it as the name for a place even though you will find "Dystopia : Capital City" listed on imdb
The most classic name for such a mythical city I can think of is Metropolis (supposedly based on NewYork)
And we can eerily see the parallels with Dreamland (Brooklyn 1904 to 1911) Which aspired to be better than neighbouring Luna Park but steadily declined until May 27 1911 when spectacularly Hell Gate was engulfed in flames
In summary there have been many
Damnation somebody beat me to it 5 years ago