The Great Ming Empire (Da Ming), unofficially dubbed as the later Ming (Hou Ming) or Southern Chinese Empire (Nan Zhonghua Huangdiguo) was the short-lived Chinese state that arose after the Chinese Civil War. Its territory included parts of the Yangtze area (e.g. Jiangsu, Jiangxi, Hubei, Hunan etc.), as well as Central Southern China, Sichuan, Yunnan, Fujian (including Taiwan) and the two Guang.
Major harbors were OTL'S Xiamen, Shanghai and Guangzhou, while Nanjing served as the capital; indeed, trading relations with European powers were remarkably good, filling the coffers of the government. The Empire of Vietnam accepts was a vassal towards the Ming emperor, while he was de facto a colonial puppet, while Siamese and Khmer remained loyal to the Qing.
Hou Ming's peculiar form of government was quite remarkable, and so is its legitimation. Claiming that a lost descendant of the Zhu family has been found and that this imperial heir should reclaim the Celestial Mandate, a clique of generals initiated a rebellion which was also supported by occult groups and aggressive Han nationalists. Whether Zhu Bianhong was really related to the Ming Imperial family remains a mystery to this day, but most of the Southern Chinese Qing troops deserted or joined the Ming banners.
Unlike Da Qing, Hou Ming was a pseudo-constitutional monarchy with a system very similar to that of Imperial Germany. Foreign trade policies were very liberal, but this could not be said of the press censorship.
A campaign sent to retaliate the damage inflicted by the "rebels" led to a swift end of the Ming dynasty; during the subsequent purges conducted by the Qing Army, thousands of "collaborateurs" were executed, including the Imperial Family (which turned out to be a peasant clan simply adopting the name of the Ming rulers). The political system of the short-lived empire however had influences on the subsequent reforms done by the Qing government.
News about survivors of the Ming "Imperial Family" have upset the Qing government; living in Europe, they still claim to be the official, and legitimate rulers of all of China.