While Eurostar has a Twitter account, its handle is little_break, which is linked to a marketing promotion for the company. According to the Brand Republic Blog, the Twitter handles eurostar and eurostar_uk are not related to the company. The eurostar handle is based out of Shanghai and the eurostar_uk handle doesn't exist according to Twitter.
Eurostar's Social Media agency is London-based We Are Social, which has a detailed explanation of the hows and whys of this crisis. I like the openness of their post. It is exactly what an organization should do when they find themselves in a crisis. This post will matter for perspective clients and current clients in case they would doubt the agency's competence since their involvement with Eurostar is widely known.
So what's the takeaway here?
Claim your name!
Do it right now.