If your Linux systems are running a normal Linux distribution, go update your kernel. They should all have the updates in them already. And then keep updating them over the next few weeks, we are still working out lots of corner case bugs given that the testing involved here is complex given the huge variety of systems and workloads this affects. If your distro does not have kernel updates, then I strongly suggest changing distros right now.
However there are lots of systems out there that are not running “normal” Linux distributions for various reasons (rumor has it that it is way more than the “traditional” corporate distros). They rely on the LTS kernel updates, or the normal stable kernel updates, or they are in-house franken-kernels. For those people here’s the status of what is going on regarding all of this mess in the upstream kernels you can use.
Read more at Linux Kernel Monkey Blog