dc.contributor.author Fournier, Nicolas dc.contributor.author Mischler, Stéphane dc.date.accessioned 2009-07-03T07:59:40Z dc.date.available 2009-07-03T07:59:40Z dc.date.issued 2004 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/715 dc.language.iso en en dc.subject Coalescence en dc.subject Fragmentation en dc.subject Differential equations en dc.subject Equilibrium en dc.subject.ddc 515 en dc.title Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition en dc.type Article accepté pour publication ou publié dc.contributor.editoruniversityother INRIA - Université Henri Poincaré - Nancy I - Université de Nancy II - Institut National Polytechnique de Lorraine;France dc.description.abstracten The coagulation-fragmentation equation describes the concentration $f_i(t)$ of particles of size $i \in \nn / \{0\}$ at time $t\geq 0$, in a spatially homogeneous infinite system of particles subjected to coalescence and break-up. We show that when the rate of fragmentation is sufficiently stronger than that of coalescence, $(f_i(t))_{i \in \nn / \{0\}}$ tends to an unique equilibrium as $t$ tends to infinity. Although we suppose that the initial datum is sufficiently small, we do not assume a detailed balance (or reversibility) condition. The rate of convergence we obtain is furthermore exponential. en dc.relation.isversionofjnlname Proceedings of the royal Society of London Series A dc.relation.isversionofjnlvol 460 en dc.relation.isversionofjnlissue 2049 en dc.relation.isversionofjnldate 2004 dc.relation.isversionofjnlpages 2477-2486 en dc.description.sponsorshipprivate oui en dc.subject.ddclabel Analyse en
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