Truong-Son Van

Carnegie Mellon University

Talk Title: Existence of Solitary Waves in One Dimensional Peridynamics

Abstract: We give a rigorous proof of existence for solitary waves of a peridynamics model in one space dimension proposed by Silling. In order to do this, we adapt the framework developed by Friesecke and Wattis for the Fermi-Pasta-Ulam-Tsingou lattice equations to treat a truncated problem via concentration-compactness, then pass to the limit.