111 citations · 261 across the 34 of their papers we have counts for
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math.AP2024
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…
nlin.PS2024
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…
math.AP2024★ 10 cited
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…