8 citations · 22 across the 7 of their papers we have counts for
4 papers · 1 filter
A regularized continuum model for traveling waves and dispersive shocks of the granular chain
Su Yang, Gino Biondini, Christopher Chong +1
In this paper we focus on a discrete physical model describing granular crystals, whose equations of motion can be described by a system of differential difference equations (DDEs)…
Dynamics of Nonlinear Lattices
Christopher Chong, P. G. Kevrekidis
In this topical review we explore the dynamics of nonlinear lattices with a particular focus to Fermi-Pasta-Ulam-Tsingou type models that arise in the study of elastic media and, m…
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…
Integrable Approximations of Dispersive Shock Waves of the Granular Chain
C. Chong, A. Geisler, P. G. Kevrekidis +1
In the present work we revisit the shock wave dynamics in a granular chain with precompression. By approximating the model by an -Fermi-Pasta-Ulam-Tsingou chain, we leverage the…