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arXiv · 1802.00516

Existence of solitary waves in one dimensional peridynamics

Robert L. Pego·Truong-Son Van
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Abstract

We give a rigorous proof of existence for solitary waves of a peridynamics model in one space dimension recently investigated by Silling (J. Mech. Phys. Solids 96:121--132, 2016). We adapt the variational framework developed by Friesecke and Wattis (Comm. Math Phys. 161:391--418, 1994) for the Fermi-Pasta-Ulam-Tsingou lattice equations to treat a truncated problem which cuts off short-range interactions, then pass to the limit.

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Robert L. Pego, Truong-Son Van. 2018-02-01. Existence of solitary waves in one dimensional peridynamics. https://doi.org/10.1007/s10659-018-9701-6

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