Intel has published a list of affected models.
On Tom´s Hardware they have published an explanation of the vulnerabilities (Meltdown and Spectre). Meltdown is in principle a vulnerability that does not necessarily affect home users. Its danger lies in the possibility that a user of one virtual machine has to access the data of the memory of another virtual machine. This, in server farms that offer virtualized services, means that anyone could access data such as passwords resident in the memory of any virtual machine running on that same physical machine.
Spectre is a different problem that does affect AMD processors. For this security flaw there is no software solution and it will remain there until manufacturers sell CPUs with the bug fixed. But it is very difficult to exploit because the way to carry it out varies greatly from model to model.
From the point of view of nomenclature, do you think that the end of the Core era (i3, i5, i7...) has arrived?