Modeling and Simulation Group Meeting Old

POSTPONED -- A homogenization perspective on Guest-Hutchinson modes

Speaker: Xuenan Li, Courant

Location: Warren Weaver Hall 517

Date: Thursday, December 16, 2021, 12:30 p.m.


Around 2003, Guest and Hutchinson discovered the existence of "almost" energy-free modes (GH modes) on a special lattice system named Maxwell lattice. Many interesting observations have been made on these GH modes in the past two decades. However, a complete mathematical explanation is still lacking on why such modes arise. In this talk, I will explain the existence of GH modes from a mathematical perspective using homogenization theory. I will also discuss the connection between GH modes and fully nonlinear energy-free modes.