Surfaces moving under Hamiltonian flows

Faculty Member

Ely Kerman

Project Image

We will (continue to) study the convergence properties of a family of partial differential equations that describe surfaces moving under Hamiltonian flows. These flows are designed to push the surface to acquire certain symmetries. The equations are nonlinear perturbations of heat flows. Modeling them numerically is a significant and interesting challenge.

Team Meetings

Weekly

Project Difficulty

Advanced

Undergrad Prerequisites

 

Completion of Calculus 3.