Free vibrations of axially moving strings: Energy estimates and boundary observability
Analysis of PDEs
2023-04-11 v1
Abstract
We study the small vibrations of axially moving strings described by a wave equation in an interval with two endpoints moving in the same direction with a constant speed. The solution is expressed by a series formula where the coefficients are explicitly computed in function of the initial data. We also define an energy expression for the solution that is conserved in time. Then, we establish boundary observability inequalities with explicit constants.
Keywords
Cite
@article{arxiv.2201.01866,
title = {Free vibrations of axially moving strings: Energy estimates and boundary observability},
author = {Seyf Eddine Ghenimi and Abdelmouhcene Sengouga},
journal= {arXiv preprint arXiv:2201.01866},
year = {2023}
}
Comments
15 Pages and 7 figures