  The discovery of unusual heat conduction properties of graphene has led to a
surge of theoretical and experimental studies of phonon transport in
two-dimensional material systems. The rapidly developing graphene thermal field
spans from theoretical physics to practical engineering applications. In this
invited review we outline different theoretical approaches developed for
describing phonon transport in graphene and provide comparison with available
experimental thermal conductivity data. A special attention is given to
analysis of the recent theoretical results for the phonon thermal conductivity
of graphene and few-layer graphene, the effects of the strain, defects,
isotopes and edge scattering on the acoustic phonon transport in these material
systems.
