  The problem of phonon scattering by strain fields caused by Stone-Wales (SW)
defects in graphene is studied in the framework of the deformation potential
approach. An explicit form of the phonon mean free path due to phonon-SW
scattering is obtained within the Born approximation. The mean free path
demonstrates a specific $q$-dependence varying as $q^{-3}$ at low wavevectors
and taking a constant value at large $q$. The thermal conductivity of graphene
nanoribbons (GNRs) is calculated with the three-phonon umklapp, SW and rough
edge scatterings taken into account. A pronounced decrease of the thermal
conductivity due to SW defects is found at low temperatures whereas at room
temperatures and above the phonon-phonon umklapp scattering becomes dominant. A
comparison with the case of vacancy defects shows that they play more important
role in the reduction of the thermal conductivity in GNRs over a wide
temperature range.
