Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models
Analysis of PDEs
2022-11-01 v1
Abstract
We explore the energy decay properties related to a model in extensible beams with the so-called energy damping. We investigate the influence of the nonloncal damping coefficient in the stability of the model. We prove, for the first time, that the corresponding energy functional is squeezed by polynomial-like functions involving the power of the damping coefficient, which arises intrinsically from the Balakrishnan-Taylor beam models. As a consequence, it is shown that such models with nonlocal energy damping are never exponentially stable in its essence.
Cite
@article{arxiv.2210.16931,
title = {Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models},
author = {E. H. Gomes Tavares and M. A. Jorge Silva and V. Narciso and A. Vicente},
journal= {arXiv preprint arXiv:2210.16931},
year = {2022}
}
Comments
short paper