G. M. Coclite, S. Dipierro, G. Fanizza, F. Maddalena, E. Valdinoci
Abstract
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.
Keywords
peridynamics; nonlocal continuum mechanics; elasticity; Mathematics - Analysis of PDEs; Mathematical Physics
Nonlinearity
Volume 35, Number 11
2022 November
