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.

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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

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  Item type:	Article
  ID code:	29093
  Dates:	Date Event June 2011 Published 3 June 2011 Published Online
  Keywords:	semigroups of operators , coagulations, strong solutions, semilinear Cauchy problems, Probabilities. Mathematical statistics, Mathematics(all)
  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:	27 Aug 2021 01:06
  URI:	https://strathprints.strath.ac.uk/id/eprint/29093