Lagrangian angles of family of Lagrangian fibrations under mean   curvature flow
  In this paper, we discuss the Lagrangian angles of a family of Lagrangian fibrations moved under mean curvature flow. In the case $n=1$, the angle function is shown to satisfy a degenerated partial differential equation. We prove that any smooth solution to the equation also corresponds to smooth foliation of curves under mean curvature flow. 
John Man-shun Ma, Tom Yau-heng Wan
math.DG