We present a study of the thermal transport of spin excitations in the two-dimensional frustrated Heisenberg model in the triangular lattice. We have employed analytical techniques such as linear spin wave theory to investigate the dependence on Tof the thermal Drude weight for this model. We present our results for the dependence on the temperature of the thermal Drude weight in the gapless regime. Our results show an ideal thermal conductivity for as expected for gapless spin systems, and an insulator thermal transport at

thermal transport, frustrated quantum, spin chains, two-dimensional.