Why would you assume the ice isn't being squished/stretched as well?
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Exactly. The crust would likely experience similar effects as the liquid beneath, probably fracturing into plates and moving on the tide. There is visual evidence of the surface expanding, contracting, and fracturing with tidal forces
It's a completely different scenario than on Earth. Also Europa has less gravity than our moon, even, and just 13% than Earth's gravity. Much less pull from below, much more pull from above. That ice shell just might stay in place like a church dome, even if the water level comes and goes.
So as far as I know, and I am no expert to be clear, the whole reason Europa even has a liquid ocean under the ice is because of tidal heating. Where the moon itself is pushed and pulled, heating it up immensely because of the friction of that action. So there would be no "air pockets" as such, because the ice itself is the thing creating the ocean. And due to ice being less dense than water the ocean would actually be exerting pressure on the ice mantle, not the other way around. I think this is one of the driving forces of the cryovolcanism found on Europa.
Where would the air come from, pray tell?
Volcanic activity! It wouldn't be oxygen, though. It'd be a slightly more... shall we say... lethal cocktail.
It would most likely be locally available molecules in the gaseous phase.
I'm going to express some solidarity with OP here. I feel like there is some unconscious bias affecting their visualisation, in no small part due to my first blush reaction being "that kinda makes sense". On Earth at sea level we are used to ice being rigid enough that we don't expect tidal forces to distort it at the same rate as it affects neighbouring water, however as OP pointed out tidal forces in the Jovian system are colossal compared to what we are familiar with.
We also expect our atmosphere to rush in to fill any available space, even though that's only true at surface level (give or take a few meters) its counter intuitive to think about different paradigms of atmosphere if you haven't trained those reflexes.
Its kinda like the hottest parts of he Earths core being hotter than a large amount of the surface of he sun. That boggles my mind, but once I understood the caveats of that statement and the science involved it made a lot more sense, even if it wasn't intuitive.
tidal forces in the Jovian system are colossal compared to what we are familiar with
I'm also considering Europa's ice shell being kilometers thick. In our Arctic Ocean, the ice is somewhere around 10 meters (30 feet) on average, less in many spots.