Regularity and stability of two coupled Euler-Bernoulli equations with a localized singular structural damping
Analysis of PDEs
2026-02-17 v1
Abstract
This paper is concerned with the study of regularity and stability properties of two Euler-Bernoulli beam equations with localized singular damping. Under suitable regularity assumptions on the damping coefficient, we establish Gevrey regularity for the semigroup generated by the associated operator. Furthermore, for a broader class of damping mechanisms, including less regular damping, we derive uniform stability result. These findings provide a detailed description of the long-term behavior of the corresponding dynamical systems.
Cite
@article{arxiv.2602.13525,
title = {Regularity and stability of two coupled Euler-Bernoulli equations with a localized singular structural damping},
author = {K. Ammari and F. Hassine and L. Tebou},
journal= {arXiv preprint arXiv:2602.13525},
year = {2026}
}