We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocal- ity 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 com- parison between these new effects and the classical local scenario is deepened also through a numerical analysis.
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics
Coclite, Giuseppe Maria
;Maddalena, Francesco;
2022-01-01
Abstract
We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocal- ity 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 com- parison between these new effects and the classical local scenario is deepened also through a numerical analysis.File in questo prodotto:
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