Drywall on top of lath and plaster

I'm remodelling an older home that has lath and plaster walls and ceilings in various stages of disrepair. If I knock off all the bumpy and loose areas, can I glue the new drywall on top of the old plaster surface with liquid nails or similar or am I better to knock all of the old stuff off down to the studs? I'm worried that even though the wall looks flat, the drywall may not sit down well on the surface of the old plaster and not be flat. The latter will be a real big job. Can ceilings be done the same way? How do professionals tackle putting drywall on old lath and plaster?

 

I am in the midst of a similar project. Redoing the kitchen of an old house completely. For the walls, I did remove the plaster and laths down to the studs. For the ceiling I was planning on installing drywall and securing with screws to the joists above -- over the current laths and plaster on the ceiling. I would like to know if this is acceptable also.