I review the processes that shape the evolution of protoplanetary discs
around young, solar-mass stars. I first discuss observations of protoplanetary
discs, and note in particular the constraints these observations place on
models of disc evolution. The processes that affect the evolution of gas discs
are then discussed, with the focus in particular on viscous accretion and
photoevaporation, and recent models which combine the two. I then discuss the
dynamics and growth of dust grains in discs, considering models of grain
growth, the gas-grain interaction and planetesimal formation, and review recent
research in this area. Lastly, I consider the so-called "transitional" discs,
which are thought to be observed during disc dispersal. Recent observations and
models of these systems are reviewed, and prospects for using statistical
surveys to distinguish between the various proposed models are discussed.Comment: 28 pages, 9 figures. Refereed review chapter for proceedings of VLTI
summer school on "Circumstellar discs and planets at very high angular
resolution", to appear in New Astronomy Reviews. See http://www.vlti.org/ for
more detail