VOVCHANSK, Ukraine — A new Russian offensive into Ukraine’s Kharkiv region has forced more than 6,000 people to evacuate this small city since Friday, fearing for their lives and racing to escape a second occupation more than two years after Moscow’s troops first crossed the border with columns of tanks.

The wave of displaced people from Vovchansk, located just five miles from the Russian border, and surrounding settlements is reminiscent of those early days of the invasion in February 2022 — but this attack by Russia is even worse, the evacuees said.