  The heat flow for Dirac-harmonic maps on Riemannian spin manifolds is a
modification of the classical heat flow for harmonic maps by coupling it to a
spinor. It was introduced by Chen, Jost, Sun, and Zhu as a tool to get a
general existence program for Dirac-harmonic maps. For source manifolds with
boundary they obtained short time existence and the existence of a global weak
solution was established by Jost, Liu, and Zhu. We prove short time existence
of the heat flow for Dirac-harmonic maps on closed manifolds.
