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dc.contributor.authorDoumic, M.
dc.contributor.authorEscobedo, M.
dc.dateinfo:eu-repo/date/embargoEnd/2017-02-28
dc.date.accessioned2016-06-13T13:33:50Z
dc.date.available2016-06-13T13:33:50Z
dc.date.issued2016-01-01
dc.identifier.issn1937-5093
dc.identifier.urihttp://hdl.handle.net/20.500.11824/259
dc.description.abstractFragmentation and growth-fragmentation equations is a family of problems with varied and wide applications. This paper is devoted to the description of the long-time asymptotics of two critical cases of these equations, when the division rate is constant and the growth rate is linear or zero. The study of these cases may be reduced to the study of the following fragmentation equation: ∂ / ∂t u(t, x) + u(t, x) = ∞ ∫ x k0 (x/y )u(t, y)dy. Using the Mellin transform of the equation, we determine the long-time behavior of the solutions. Our results show in particular the strong dependence of this asymptotic behavior with respect to the initial data.
dc.formatapplication/pdf
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.subjectCell division
dc.subjectGrowth-fragmentation equations
dc.subjectLong-time asymptotics
dc.subjectRate of convergence
dc.subjectSelf-similarity
dc.subjectStructured populations
dc.titleTime asymptotics for a critical case in fragmentation and growth-fragmentation equations
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.3934/krm.2016.9.251
dc.relation.publisherversionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12370
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleKinetic and Related Modelsen_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