Back to Departmental Colloquium: Spring 2005
Departmental Colloquium
Date: Thursday, Mar 10, 2005
Time: 4:15PM
Location: JWB 335
Departmental Colloquium
A New Perspective on Motion by Curvature
Title |
A New Perspective on Motion by Curvature |
Abstract |
I will present new work with Sylvia Serfaty. The main focus is motion by curvature in two space dimensions. The level-set formulation of this interface evolution law is a degenerate parabolic equation. We show it can be interpreted as the value function of a deterministic two-person game. 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. This result is unexpected, because the value function of a deterministic control problem is normally a first-order Hamilton-Jacobi equation. |
Mathematical Biology
Differential Equations
Data Science and Machine Learning