Ver ítem 

Mostrar el registro sencillo del ítem

Artículo

Opened Access
Singularity formations for a surface wave model

dc.creatorCastro Martínez, Ángeles
dc.creatorCórdoba Gazolaz, Diegoes
dc.creatorGancedo García, Franciscoes
dc.date.accessioned2016-09-21T07:41:49Z
dc.date.available2016-09-21T07:41:49Z
dc.date.issued2010-11
dc.identifier.citationCastro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Singularity formations for a surface wave model. Nonlinearity, 23 (11), 2835-2847.
dc.identifier.issn0951-7715es
dc.identifier.issn1361-6544es
dc.identifier.urihttp://hdl.handle.net/11441/45178
dc.description.abstractIn this paper we study the Burgers equation with a nonlocal term of the form Hu where H is the Hilbert transform. This system has been considered as a quadratic approximation for the dynamics of a free boundary of a vortex patch (see Biello and Hunter 2010 Commun. Pure Appl. Math. LXIII 0303-36; Marsden and Weinstein 1983 Physica D 7 305–23). We prove blow up in finite time for a large class of initial data with finite energy. Considering a more general nonlocal term, of the form ΛαHu for 0 < α < 1, finite time singularity formation is also shown.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipEuropean Research Counciles
dc.description.sponsorshipNational Science Foundationes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherIOP Publishinges
dc.relation.ispartofNonlinearity, 23 (11), 2835-2847.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleSingularity formations for a surface wave modeles
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2008-03754es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/203138es
dc.relation.projectID0901810es
dc.relation.publisherversionhttp://doi.org/10.1088/0951-7715/23/11/006es
dc.identifier.doi10.1088/0951-7715/23/11/006es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent14 p.es
dc.journaltitleNonlinearityes
dc.publication.volumen23es
dc.publication.issue11es
dc.publication.initialPage2835es
dc.publication.endPage2847es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45178

FicherosTamañoFormatoVerDescripción
Singularity formations for a ...137.6KbIcon   [PDF] Ver/Abrir  

Este registro aparece en las siguientes colecciones

Mostrar el registro sencillo del ítem

Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Excepto si se señala otra cosa, la licencia del ítem se describe como: Attribution-NonCommercial-NoDerivatives 4.0 Internacional