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Self-similar blow-up for a reaction-diffusion system

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dc.contributor.authorHerrero, Miguel A.
dc.contributor.authorMedina Reus, Elena
dc.contributor.authorVelázquez, J.J. L.
dc.date.accessioned2023-06-20T17:02:11Z
dc.date.available2023-06-20T17:02:11Z
dc.date.issued1998-09-24
dc.description.abstractThis work is concerned with the following system: [GRAPHICS] which is a model to describe several phenomena in which aggregation plays a crucial role as, for instance, motion of bacteria by chemotaxis and equilibrium of self-attracting clusters. When the space dimension N is equal to three, we show here that (S) has radial solutions with finite mass that blow-up in finite time in a self-similar manner. When N = 2, however, no radial solution with finite mass may give rise to self-similar blow-up.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16946
dc.identifier.doi10.1016/S0377-0427(98)00104-6
dc.identifier.issn0377-0427
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0377042798001046
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57664
dc.issue.number1-2
dc.journal.titleJournal of Computational and Applied Mathematics
dc.language.isoeng
dc.page.final119
dc.page.initial99
dc.publisherElsevier Science Bv
dc.relation.projectIDGrant PB96-0614.
dc.rights.accessRightsrestricted access
dc.subject.cdu517.956.4
dc.subject.cdu539.2
dc.subject.keywordReaction-diffusion systems
dc.subject.keywordblow-up
dc.subject.keywordself-similar behaviour
dc.subject.keywordmatched asymptotic expansions
dc.subject.keywordchemotaxis
dc.subject.keywordequations
dc.subject.keywordaggregation
dc.subject.keywordclusters
dc.subject.keywordmodel
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleSelf-similar blow-up for a reaction-diffusion system
dc.typejournal article
dc.volume.number97
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