PDE Seminar Abstracts

Hamilton-Jacobi equation and least worst strategy

Noureddine Igbida
Université de Limoges, France
Fri 17th Nov 2017, 2-3pm, Carslaw Lecture Room 275


The talk concerns new results on the metric character of the Hamilton-Jacobi equation with obstacle (HJO). We will introduce an explicit formula of game theory type for an intrinsic distance showing how the Hamilton-Jacobi equation sorts out some kind of least worst strategy to handle the obstacle. Some applications concerning the shapes of an overflowing sandpile and a brimful lake over an arbitrary landscape of varying height.