On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation
Analysis of PDEs
2025-01-22 v1
Abstract
The Benjamin-Bona-Mahony equation (BBM) is introduced as a regularization of the Korteweg-de Vries equation (KdV) for long water waves \cite{BBM1972}. In this paper, we establish the convergence from the BBM to the KdV for energy class solutions. As a consequence, employing the conservation laws, we extend the known temporal interval of validity for the BBM regularization.
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Cite
@article{arxiv.2501.10899,
title = {On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation},
author = {Younghun Hong and Junyeong Jang and Changhun Yang},
journal= {arXiv preprint arXiv:2501.10899},
year = {2025}
}
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23 pages