Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation
Analysis of PDEs
2020-07-27 v1 Numerical Analysis
Numerical Analysis
Abstract
This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularity results. Then, we show that the zero solution of the system exponentially converges to zero when the time tends to infinity provided that the time-delay is small and the damping term satisfies reasonable conditions. Lastly, an intensive numerical study is put forward and numerical illustrations of the stability result are provided.
Keywords
Cite
@article{arxiv.2007.12598,
title = {Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation},
author = {Kaïs Ammari and Boumediène Chentouf and Nejib Smaoui},
journal= {arXiv preprint arXiv:2007.12598},
year = {2020}
}