Speaker: Prof. Lawrence C Evans (University of Carfornia, Berkeley)

Title: Streamlines and "Soft Shocks" for the Infinity Laplacian PDE

Abstract: I will  first discuss how to linearize the two-dimensional Infinity Laplacian PDE, a very strange nonlinear equation arising from sup-norm variational problems.

I will then show how this linearization lets us describe in some detail the geometry of gradient streamlines and their intersections at cusps, forming patterns of  ``soft shocks''.