Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910352441081856 |
|---|---|
| author | Guelmame, Billel Clamond, Didier Junca, Stéphane |
| author_facet | Guelmame, Billel Clamond, Didier Junca, Stéphane |
| contents | We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of the Saint-Venant system with uneven bottom introduced by Clamond, Dutykh and Mitsotakis. We also prove that, as long as the first derivatives are bounded, singularities cannot appear. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15544 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom Guelmame, Billel Clamond, Didier Junca, Stéphane Analysis of PDEs We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of the Saint-Venant system with uneven bottom introduced by Clamond, Dutykh and Mitsotakis. We also prove that, as long as the first derivatives are bounded, singularities cannot appear. |
| title | Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.15544 |