Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics

DOI10.1088/1361-6544/ac8fd9zbMath1503.74055arXiv2105.01558OpenAlexW4306402892MaRDI QIDQ5042386

Giuseppe Fanizza, Giuseppe Maria Coclite, Enrico Valdinoci, Serena Dipierro, Francesco Maddalena

Publication date: 19 October 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01558

zbMATH Keywords

high-frequency asymptoticslow-frequency asymptoticsdecay estimatenonlocal continuum mechanicsdispersive estimate

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Bulk waves in solid mechanics (74J10) PDEs in connection with mechanics of deformable solids (35Q74) Peridynamics (74A70)

Related Items

Dispersive effects in two- and three-dimensional peridynamics, Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels, A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes, The Cauchy problem for time-fractional linear nonlocal diffusion equations, Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

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