Bilinear coagulation equations
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2637 | |
dc.contributor.author | Heydecker, Daniel | |
dc.contributor.author | Patterson, Robert I.A. | |
dc.date.accessioned | 2022-06-23T14:40:43Z | |
dc.date.available | 2022-06-23T14:40:43Z | |
dc.date.issued | 2019 | |
dc.description.abstract | We consider coagulation equations of Smoluchowski or Flory type where the total merge rate has a bilinear form π(y) · Aπ (x) for a vector of conserved quantities π, generalising the multiplicative kernel. For these kernels, a gelation transition occurs at a finite time tg ∈ (0,∞), which can be given exactly in terms of an eigenvalue problem in finite dimensions. We prove a hydrodynamic limit for a stochastic coagulant, including a corresponding phase transition for the largest particle, and exploit a coupling to random graphs to extend analysis of the limiting process beyond the gelation time. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9221 | |
dc.identifier.uri | https://doi.org/10.34657/8259 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2637 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Coagulation | eng |
dc.subject.other | bilinear kernel | eng |
dc.subject.other | gelation | eng |
dc.subject.other | phase transition | eng |
dc.subject.other | Smoluchowski equation, | eng |
dc.subject.other | Flory equation | eng |
dc.subject.other | random graph | eng |
dc.title | Bilinear coagulation equations | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 48 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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