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hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCOLIN, Mathieu
hal.structure.identifierDepartment of Mathematics [KEIO UNIVERSITY]
dc.contributor.authorHIGUCHI, Tatsuo
dc.date.accessioned2024-04-04T02:59:05Z
dc.date.available2024-04-04T02:59:05Z
dc.date.issued2020
dc.identifier.issn0022-2526
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192715
dc.description.abstractEnWe 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.isoen
dc.publisherWiley-Blackwell
dc.title.enSolitary wave solutions to the Isobe-Kakinuma model for water waves
dc.typeArticle de revue
dc.identifier.doi10.1111/sapm.12310
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalStudies in Applied Mathematics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02364653
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02364653v1
bordeaux.COinSctx_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


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