I just got back from being stuck in the middle of all this mess (and I only got out "early" - after 3 days of being stuck - because of some really lucky timing) and it is a lot more horrible than what people are thinking! There are people who have been stuck at the airport since Thursday and aren't able to leave until mid-week next week...if they are lucky.
There are no hotels available, no rental cars, trains and buses out have waiting list of several days (when I left Munich on Friday, the earliest train/bus out was Sunday morning...3 hours later, the earliest train/bus out was Wednesday...so 3 full days where completely booked in 3 hours. When I left London this morning, the earliest bus to Germany was Friday...not sure where the trains stood at that point)...the ferry across the channel is booked up...there are people "living" in the airport with nowhere to go and no money to even buy food while stranded there. Most airlines are not returning luggage to anyone (it will be mailed to you "whenever they get around to it"), are not issuing refunds and the majority of them are not rebooking flights either (my flight to Manchester was rebooked 4 times before the airlines finally decided to stop rebooking and just tell you that the flight was cancelled indefinitely). *Side note: Airlines are not legally required to issue you a refund if they cancel your flight (indefinitely) unless they have overbooked the flight and forced you not to fly. Your individual airline may choose to have a policy that they will issue a refund...but the majority of the airlines are just saying "no refunds full stop" or telling you to apply for a refund and await a decision.*
The whole situation is complete chaos. You can be standing in line and listen to the airport employees all giving people different information. There is no organization and no dessimination of information to the employees or passengers. Most airlines have gone ahead and said they will not be flying out until Monday and most likely it will be the end of next week, if lucky. Yet the airports are not "officially" closing indefinitely so keep getting postings that it's closed for the next 6-8 hours or something along those lines. This is a complete nightmare! I feel really priviledged that I got out as easy as I did (if you consider an 8 hour flight, 32 hours on buses, a boat ride, a car drive, 3 hours on trains, sleeping in the airport...72 hour trip altogether while 6-months pregnant and with a 6-year-old, no luggage, clean clothes (or jackets while stuck outside in 6C weather for hours on end), shower, real food, etc. to be "lucky").