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Remarks on accessible steady states for some coagulation-fragmentation systems

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dc.contributor.authorHerrero, Miguel A.
dc.contributor.authorRodrigo, Marianito R.
dc.date.accessioned2023-06-20T09:38:35Z
dc.date.available2023-06-20T09:38:35Z
dc.date.issued2007-03
dc.description.abstractIn this paper we consider some systems of ordinary differential equations which are related to coagulation-fragmentation processes. In particular, we obtain explicit solutions {c(k)(t)} of such systems which involve certain coefficients obtained by solving a suitable algebraic recurrence relation. The coefficients are derived in two relevant cases: the high-functionality limit and the Flory-Stockmayer model. The solutions thus obtained are polydisperse (that is, c(k)(0) is different from zero for all k >= 1) and may exhibit monotonically increasing or decreasing total mass. We also solve a monodisperse case (where c(1)(0) is different from zero but c(k)(0)is equal to zero for all k >= 2) in the high-functionality limit. In contrast to the previous result, the corresponding solution is now shown to display a sol-gel transition when the total initial mass is larger than one, but not when such mass is less than or equal to one.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipEuropean Contrac
dc.description.sponsorshipAsociación Mexicana de Cultura
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16325
dc.identifier.doi10.3934/dcds.2007.17.541
dc.identifier.issn1078-0947
dc.identifier.officialurlhttp://www.aimsciences.org/journals/pdfs.jsp?paperID=2123&mode=full
dc.identifier.relatedurlhttp://www.aimsciences.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50097
dc.issue.number3
dc.journal.titleDiscrete and Continuous Dynamical Systems. Series A.
dc.language.isoeng
dc.page.final552
dc.page.initial541
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.projectIDMRTN-CT-2004-503661
dc.rights.accessRightsrestricted access
dc.subject.cdu517.9
dc.subject.cdu616.15
dc.subject.cdu612.115
dc.subject.keywordCoagulation-fragmentation
dc.subject.keywordexact solutions
dc.subject.keywordgelation
dc.subject.keywordsol-gel transition
dc.subject.keywordmolecular-size distribution
dc.subject.keyworddiffusion
dc.subject.keywordequations
dc.subject.keywordkinetics
dc.subject.keywordpolymerization
dc.subject.keywordaggregation
dc.subject.keywordequilibrium
dc.subject.keywordexistence
dc.subject.keywordpolymers
dc.subject.ucmEcuaciones diferenciales
dc.subject.ucmHematología
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.subject.unesco3205.04 Hematología
dc.titleRemarks on accessible steady states for some coagulation-fragmentation systems
dc.typejournal article
dc.volume.number17
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