A Deterministic Control Based Approach to Motion by Curvature

PRINCETON-RUTGERS-IAS JOINT ANALYSIS SEMINAR
Topic:A Deterministic Control Based Approach to Motion by Curvature
Speaker:Sylvia Serfaty
Affiliation:Courant Institute
Date:Thursday, November 18
Time/Room:3:30pm - 4:30pm/Princeton University, Fine Hall 214

In a joint work with Bob Kohn, we give a new control-type interpretation on the level-set approach to motion by curvature and related interface motion laws. More precisely, we give a family of discrete-time, two-person games whose value functions converge in the continuous-time limit to the solution of the motion-by-curvature PDE. The value function of a deterministic control problem is normally a first-order Hamilton-Jacobi equation, while the level-set formulation of motion by curvature is a second-order parabolic equation.