Show simple item record

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.identifier.doi10.14760/OWP-2020-06
local.scientificprogramResearch in Pairs 2019en_US
local.series.idOWP-2020-06en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record