Variational derivation of the Camassa-Holm shallow water equation with non-zero vorticity

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dc.creatorIonescu-Kruse, Delia
dc.date2007-11-29
dc.date.accessioned2026-07-07T08:46:01Z
dc.date.available2026-07-07T08:46:01Z
dc.descriptionWe describe the physical hypotheses underlying the derivation of an approximate model of water waves. For unidirectional surface shallow water waves moving over an irrotational flow as well as over a non-zero vorticity flow, we derive the Camassa-Holm equation by an interplay of variational methods and small-parameter expansions.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0711.4701
dc.identifierhttp://arxiv.org/abs/0711.4701
dc.identifierDisc. Cont. Dyn. Syst.-A, 19 (2007), 531--543
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143147
dc.subjectMathematical Physics
dc.subject35Q58, 76B15, 70G75
dc.titleVariational derivation of the Camassa-Holm shallow water equation with non-zero vorticity
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