On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915110021234688 |
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| author | Hong, Younghun Jang, Junyeong Yang, Changhun |
| author_facet | Hong, Younghun Jang, Junyeong Yang, Changhun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation Hong, Younghun Jang, Junyeong Yang, Changhun Analysis of PDEs 35Q53, 76B15 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. |
| title | On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation |
| topic | Analysis of PDEs 35Q53, 76B15 |
| url | https://arxiv.org/abs/2501.10899 |