Moore's law only states that the number of transistors doubles for a specific size of silicon every 1.5 years.<p>When it does end, we will move onto other forms of computing, memristor based, graphene, photonic/optical, quantum (only really useful for some classes of problems), spintronics and such. Might have a bit of a dip off during the change over but then it will be business as usual.<p>We could start to see computers with more and more processors in them. The cost of producing a processor should continue to drop. Energy efficiency, (reduced heat) and cooling improved systems will keep being developed. So maybe we will end up with computers that are almost a solid mass of processors. That scalability isn't fantastic though, but it would work for maybe 10 years. Things like FPGA coprocessors could also help.<p>Finally we can look at breaking away from the current paradigms of computer science into esoteric things like biological/dna computing.<p>Most desktop systems are as fast as most people will ever need them. Remember now days all they are doing is opening a webbrowser and going to Facebook. The UI's keep getting more and more simplified.<p>Graphics in games is about the most demanding thing that happens on a desktop, which will likely keep going for some time until we have photo-realistic, realtime raytracing at retina DPIs on large screens, in 3D (maybe with voxels for some kind of future volumetric display).