So every once in awhile I see an article talking about the air traffic control strikes in Europe like this one: European air traffic controllers to strike. How does this affect me if I am flying to Europe?

So every once in awhile I see an article talking about the air traffic control strikes in Europe like this one: European air traffic controllers to strike.

How does this affect me if I am flying to Europe? Do they just close the doors and all airspace becomes uncontrolled airspace? I'm guessing not, but that's what I envision when I hear that! What happens if they go on strike while I'm over the ocean on my way there?