Hi Tania221
There is a lengthy discussion of this at
https://discussions.apple.com/thread/5532206?start=570&tstart=0
In a nutshell there seems to be a problem in the operating system (a few months old) of ios 7 working within the low ram of 1gb of the ipad and the processor within the ipad. Because the new processor needs a little more ram now it appears the 1gb may not be enough.
Wird on the street (and the thread) appears that apple are onto this (even though this is very very poor) and are hoping the updates on ios 7 on the near future will address this. Users here of the updates of ios 7 (ios 7.1 beta 2) are commenting on marked improvement. Rumours are saying this will be released beg feb.
Apple had now made its Christmas sales (which can all be returned by jan 7 so who knows - will they make a formal statement on this??
One thing that might help is when safari keeps closing down is close all apps in the background so as to make a bit of space within the 1gb. I also find zooming in quickly on some sites causes this issue and some sites are unworkable. It does need some patience.
If the ipad is doing this TOO MUCH then you can always take it into an apple store (if there is one nearby) to a Genius Bar for a band aid solution.
We are essentially hoping for this to be rectified through an ios 7 update or this will not only be a major stuff up but an abysmal commercial stuff up (I'm keeping this clean) of somewhat major proportions
Hope that helps a little.