Solitary wave solutions to the Isobe-Kakinuma model for water waves
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | COLIN, Mathieu | |
| hal.structure.identifier | Department of Mathematics [KEIO UNIVERSITY] | |
| dc.contributor.author | HIGUCHI, Tatsuo | |
| dc.date.accessioned | 2024-04-04T02:59:05Z | |
| dc.date.available | 2024-04-04T02:59:05Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0022-2526 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192715 | |
| dc.description.abstractEn | We consider the Isobe-Kakinuma model for two-dimensional water waves in the case of the flat bottom. The Isobe-Kakinuma model is a system of Euler-Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe-Kakinuma model in the long wave regime. Numerical analysis for large amplitude solitary wave solutions is also provided and suggests the existence of a solitary wave of extreme form with a sharp crest. | |
| dc.language.iso | en | |
| dc.publisher | Wiley-Blackwell | |
| dc.title.en | Solitary wave solutions to the Isobe-Kakinuma model for water waves | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1111/sapm.12310 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Studies in Applied Mathematics | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02364653 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02364653v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Studies%20in%20Applied%20Mathematics&rft.date=2020&rft.eissn=0022-2526&rft.issn=0022-2526&rft.au=COLIN,%20Mathieu&HIGUCHI,%20Tatsuo&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||