The seller is supposed to inform the DVLA not the buyer. I know this to my cost as my car that I bought in July is not registered in my name so as already stated the car does not belong to me according to the DVLA. I have now had to fill out a V62 and pay �19 for them to make sure I own the vehicle and issue me with the registration document this is supposed to take about 6 wks so until then Im off the road. Lets hope your buyer stays off the road as you own the car the fines will be in your name. Dont think ther is much you can do but good luck anyway