The provided source material does not contain information regarding a city named Yujin in China. Instead, the source identifies Yu-jin (also spelled Yoo-jin) as a Korean given name.
Yu-jin is a traditional Korean name that is often romanized as Eugene to facilitate easier pronunciation for Westerners. While it was one of the most popular names for baby boys in the early 2000s, its popularity declined later in the decade, falling out of the top ten by 2008.