Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
  This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in   T^{2n} is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold. 
Knut Smoczyk and Mu-Tao Wang