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dc.contributor.authorKozlov, Vladimir
dc.contributor.authorLokharu, Evgeniy
dc.contributor.authorWheeler, Miles H.
dc.date.accessioned2020-03-17T13:29:41Z
dc.date.available2020-03-17T13:29:41Z
dc.date.issued2020-03-15
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3708
dc.description.abstractWe prove the nonexistence of two-dimensional solitary gravity water waves with subcritical wave speeds and an arbitrary distribution of vorticity. This is a longstanding open problem, and even in the irrotational case there are only partial results relying on sign conditions or smallness assumptions. As a corollary, we obtain a relatively complete classification of solitary waves: they must be supercritical, symmetric, and monotonically decreasing on either side of a central crest. The proof introduces a new function which is related to the so-called flow force and has several surprising properties. In addition to solitary waves, our nonexistence result applies to "half-solitary" waves (e.g. bores) which decay in only one direction.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2020,06
dc.titleNonexistence of Subcritical Solitary Wavesen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2020-06
local.scientificprogramResearch in Pairs 2019en_US
local.series.idOWP-2020-06en_US
dc.identifier.urnurn:nbn:de:101:1-2020042116184360709940
dc.identifier.ppn1695655966


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