The mean curvature flow is one of the simplest examples of evolution of sets, yet it has been widely studied for its rich properties. One of the main issues in studying this evolution is the formation of singularities, requiring the definition of weak solutions. In this talk we present some recent results concerning an approximation scheme based on minimizing movements, converging to suitable weak solutions of the inhomogeneous mean curvature flow. The main novelty is that such an approximation is obtained for a class of flows that are not translation invariant. This is a joint work with A. Chambolle and M. Morini.
Maxime Laborde
