Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Banasiak, Jacek and Lamb, Wilson (2011) Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03). pp. 465-480. (https://doi.org/10.1017/S0308210509001255)

PDF. Filename: momcoagrserev_2_.pdf Preprint Download (175kB)

Abstract

In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.

ORCID iDs

Lamb, Wilson ORCID: https://orcid.org/0000-0001-8084-6054

• Share and Export
  

  RDF+XMLEP3 XMLMultiline CSVData Cite XMLBibTeXHTML CitationOpenURL ContextObject in SpanReferRIS (EndNote Online, Zotero, Ref manager, etc)MPEG-21 DIDLAtomASCII CitationRefWorksSimple MetadataMODSMETSDublin CoreRIOXX2 XMLEndNoteOpenURL ContextObjectRDF+N3JSONRDF+N-Triples
• Item metadata

  Item type:	Article
  ID code:	29093
  Dates:	Date Event June 2011 Published 3 June 2011 Published Online
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	07 Mar 2011 23:25
  Last modified:	21 Dec 2024 01:10
  URI:	https://strathprints.strath.ac.uk/id/eprint/29093