Evolution by mean curvature flow of Lagrangian spherical surfaces in   complex Euclidean plane
  We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane $\mathbb{C}^2$. In particular, we answer the Question 4.7 addressed in [Ne10b] by A. Neves about finding out a condition on a starting Lagrangian torus in $\mathbb{C}^2$ such that the corresponding mean curvature flow becomes extinct at finite time and converges after rescaling to the Clifford torus. 
Ildefonso Castro, Ana M. Lerma, Vicente Miquel
math.DG