111 citations · 261 across the 34 of their papers we have counts for
39 papers
Analysis of the adhesion model and the reconstruction problem in cosmology
Jian-Guo Liu, Robert L. Pego
In cosmology, a basic explanation of the observed concentration of mass in singular structures is provided by the Zeldovich approximation, which takes the form of free-streaming fl…
Traveling wave profiles for a semi-discrete Burgers equation
Uditnarayan Kouskiya, Robert L. Pego, Amit Acharya
We look for traveling waves of the semi-discrete conservation law , using variational principles related to concepts of ``hidden convexity'' app…
Rigidly breaking potential flows and a countable Alexandrov theorem for polytopes
Jian-Guo Liu, Robert L. Pego
We study all the ways that a given convex body in dimensions can break into countably many pieces that move away from each other rigidly at constant velocity, with no rotation…
Existence of solitary waves in particle lattices with power-law forces
Benjamin Ingimarson, Robert L. Pego
We prove the existence of small solitary waves for one-dimensional lattices of particles that each repel every other particle with a force that decays as a power of distance. For f…
Global weak solutions of a Hamiltonian regularised Burgers equation
Billel Guelmame, Stéphane Junca, Didier Clamond +1
A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related regularisation of the shallow water system recently int…
On long waves and solitons in particle lattices with forces of infinite range
Benjamin Ingimarson, Robert L. Pego
We study waves on infinite one-dimensional lattices of particles that each interact with all others through power-law forces . The inverse-cube case corresponds to C…