Open source warfare when it uses systems disruption, can quickly disrupt and delegitimize the state. We see both in use in France. While the level of systems disruption we have seen so far is crude (the worst example is the shutdown of Lyon's subway system), it is unlikely to remain that way. A more sophisticated approach to the disruption of France would require assaults on its electricity system. UPDATE (Nov 12): despite a curfew, 30 people swarmed an electricity substation in Amiens and plunged the north half of the city into darkness.
Electricity is central to every aspect of economic activity in the modern state -- particularly in our computerized age. Disruption of this system would quickly shut down the country's ability to participate in the global economy. Additionally, the global financial system would rapidly pronounce harsh judgement on the country for its lack of participation.
So, how vulnerable is France to this type of attack? Not surprisingly, very vulnerable. I've mapped the areas of where low intensity (westernized) open source conflict is in play throughout the French countryside against the country's high voltage electricity network. The result is map (inset) that details specific areas of vulnerability within easy travel distance of France's rioters. Attacks on this network (particularly on network hubs revealed by network analysis, which I have chosen not to reveal) would cause cascading power failures that would percolate throughout the entire country. The heterogeneous scale free design of electrical networks like France's make attacks against these links and associated hubs prime targets in a systems disruption campaign. Unfortunately, it would take relatively few successful attacks on well chosen locations within these areas of vulnerability to keep the entire network in a state of perpetual failure. All it requires is a little analysis and a wrench/Molotov cocktail.
As little as 20 years ago, this vulnerability was relatively low. In today's world, a group of the size we see in France today have an easy to assert veto power over the prosperity of the entire country.