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A note on Smoluchowski's equations with diffusion

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dc.contributor.authorHerrero, Miguel A.
dc.contributor.authorRodrigo, Marianito R.
dc.date.accessioned2023-06-20T09:38:44Z
dc.date.available2023-06-20T09:38:44Z
dc.date.issued2005-09
dc.description.abstractWe consider an infinite system of reaction-diffusion equations that models aggregation of particles. Under suitable assumptions on the diffusion coefficients and aggregation rates, we show that this system can be reduced to a scalar equation, for which an explicit self-similar solution is obtained. In addition, pointwise bounds for the solutions of associated initial and initial-boundary value problems are provided.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16342
dc.identifier.doi10.1016/j.aml.2004.09.015
dc.identifier.issn0893-9659
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0893965905000170
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50102
dc.issue.number9
dc.journal.titleApplied Mathematics Letters
dc.language.isoeng
dc.page.final975
dc.page.initial969
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.projectIDBFM 2000-0605
dc.rights.accessRightsrestricted access
dc.subject.cdu517.9
dc.subject.cdu517.956.4
dc.subject.keywordParticle aggregation
dc.subject.keywordreaction-diffusion
dc.subject.keywordexplicit solutions
dc.subject.keywordsupersolution
dc.subject.keywordsubsolution
dc.subject.keywordkpp-fisher equation
dc.subject.keywordcoagulation equations
dc.subject.keywordkinetics
dc.subject.keywordaggregation
dc.subject.keywordexistence
dc.subject.keyworddiscrete
dc.subject.keywordgelation
dc.subject.keywordmodel
dc.subject.keyworddynamics
dc.subject.keywordbehavior
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleA note on Smoluchowski's equations with diffusion
dc.typejournal article
dc.volume.number18
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