Summary: Developments will largely hinder if not make obsolete most media culture, except of course books. Keeping alive is a challenge at all times.
The changes in the climate will pose a first problem which is the conservation of the culture of the ancient civilization.
This first problem arises concerning all immaterial media that will quickly become obsolete, either by the wear and obsolescence of reading devices, or by the degradation of the media themselves.
A second problem is the adaptation of premises to store a large mass of books and documents. These libraries are very successful in the quiet climate that has prevailed the past few hundred years. When will it be with storms and winds of 300 km / h and more.
A third problem is the ability to exploit the enormous mass of dematerialized information. For example, the mathematical discoveries are posted on a website and I am not sure that there is a paper storage system allowing access certainly less easy but perennial.
I think that the fall of our civilization will make the remaining humanity lose an enormous mass of information, often the most modern, often also the most precious and important.
All medicine and medicine, often put in the trunk to protect research from competition may be lost forever if precautions are not taken well before the fateful day.
For the future, culture will have to be developed with strength. It's the binder of a society. Personally, I have a dream: to play a Shakespeare play on the day of the inauguration of the first farm, about three years after the start of construction. But I will also appreciate a piece of boulevard ...
The culture must be connected with the school. If the school were to continue to transmit the hard sciences such as math, physics, chemistry, it should especially teach all that concerns life, the real. For example our body contains ten times more bacteria, viruses and other critters than strictly human cells. This should bring us closer to nature and take some precautions regarding the survival of micro-organisms and animals in general.