Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocality and dispersion is analyzed in detail through the study of the asymptotics at low and high frequencies, revealing new features ruling the wave propagation in continua where nonlocal characteristics must be taken into account. Global dispersive estimates and existence of conserved functionals are proved. A comparison between these new effects and the classical local scenario is deepened also through a numerical analysis.

Original languageEnglish
Pages (from-to)5664-5713
Number of pages50
Issue number11
Publication statusPublished - 3 Nov 2022


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