Analysis and its Applications Seminar

Nick Ercolani, Department of Mathematics, University of Arizona

When

12:30 p.m., March 26, 2019

Speaker

Abstract

The Cross-Newell (CN)  equation is an order parameter equation for modeling pattern formation in a broad range  of extended physical systems.   Ercolani, Indik, Newell and Passot (2000) developed a Legendre transform analysis for constructing explicit solutions of CN. In this talk we examine an extension  of this method to the solution to mean curvature equations in both Riemannian and Lorentzian geometry. In the latter case we discover a connection to Born-Infeld theory. This is joint work with Patrick Shipman.