Symmetric waves are traveling waves

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dc.creatorEhrnström, Mats
dc.creatorHolden, Helge
dc.creatorRaynaud, Xavier
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:48:42Z
dc.date.available2026-07-07T12:48:42Z
dc.descriptionWe show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class of nonlinear partial differential equations, including some of the most famous model equations for water waves. A detailed analysis is given for weak solutions of the Camassa-Holm equation. In addition, we establish the existence of nonsymmetric linear rotational waves for the Euler equations.
dc.identifierhttps://arxiv.org/abs/0903.0546
dc.identifierhttp://arxiv.org/abs/0903.0546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222146
dc.subjectAnalysis of PDEs
dc.subject76B15; 35Q35
dc.titleSymmetric waves are traveling waves
dc.typetext

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