On linear waves with memory in a Bessel-like medium
Mathematical Physics
2025-10-14 v1 math.MP
Abstract
We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of the first kind in the Laplace domain. In particular, the investigation of transient waves is carried out by means of a fully numerical approach based on the Talbot method for the numerical inversion of Laplace transforms.
Cite
@article{arxiv.2510.11493,
title = {On linear waves with memory in a Bessel-like medium},
author = {A. Giusti and I. Colombaro and A. Mentrelli},
journal= {arXiv preprint arXiv:2510.11493},
year = {2025}
}
Comments
10 pages, 4 figures