Some criteria for the symmetry of stratified water waves

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dc.creatorWalsh, Samuel
dc.date2009-03-05
dc.date.accessioned2026-07-07T12:49:14Z
dc.date.available2026-07-07T12:49:14Z
dc.descriptionThis paper considers two-dimensional stably stratified steady periodic gravity water waves with surface profiles monotonic between crests and troughs. We provide sufficient conditions under which such waves are necessarily symmetric. This is done by first exploiting some elliptic structure in the governing equations to show that, in certain size regimes, a maximum principle holds. This then forms the basis for a method of moving planes argument.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/0903.0908
dc.identifierhttp://arxiv.org/abs/0903.0908
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222331
dc.subjectMathematical Physics
dc.subject35Q35, 35J60
dc.titleSome criteria for the symmetry of stratified water waves
dc.typetext

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