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dc.contributor.authorBanica, V.
dc.contributor.authorVega, L. 
dc.date.accessioned2017-03-13T11:13:16Z
dc.date.available2017-03-13T11:13:16Z
dc.date.issued2017-02-02
dc.identifier.urihttp://hdl.handle.net/20.500.11824/652
dc.description.abstractIn this note we consider the 1-D cubic Schrödinger equation with data given as small perturbations of a Dirac-$\delta$ function and some other related equations. We first recall that although the problem for this type of data is ill-posed one can use the geometric framework of the Schrödinger map to define the solution beyond the singularity time. Then, we find some natural and well defined geometric quantities that are not regular at time zero. Finally, we make a link between these results and some known phenomena in fluid mechanics that inspired this note.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleSingularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb{S}^2$en_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv1702.01947
dc.relation.publisherversionhttps://arxiv.org/abs/1702.01947en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2014-53145-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España