8 citations · 22 across the 7 of their papers we have counts for
7 papers · 1 filter
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong +1
We study the formation and interaction of dispersive shock waves (DSWs) in the two-dimensional Toda lattice subject to wedge-type initial conditions, and show that their interactio…
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice
Christopher Chong, Panayotis G. Kevrekidis, Gino Biondini +1
In the present work we analyze traveling and dispersive shock waves of a two-dimensional Fermi-Pasta-Ulam-Tsingou lattice. In the first part of the paper, using variational techniq…
First-order continuum models for nonlinear dispersive waves in the granular crystal lattice
Su Yang, Gino Biondini, Christopher Chong +1
We derive and analyze, analytically and numerically, two first-order continuum models to approximate the nonlinear dynamics of granular crystal lattices, focusing specifically on s…
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…