The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth

Banasiak, Jacek and Lamb, Wilson (2012) The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth. Kinetic and Related Models, 5 (2). pp. 223-236. ISSN 1937-5093 (https://doi.org/10.3934/krm.2012.5.223)

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Abstract

In this paper we present a class of fragmentation semigroups which are compact in a scale of spaces defined in terms of finite higher moments. We use this compactness result to analyse the long time behaviour of such semigroups and, in particular, to prove that they have the asynchronous growth property. We note that, despite compactness, this growth property is not automatic as the fragmentation semigroups are not irreducible.

ORCID iDs

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

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• Item metadata

  Item type:	Article
  ID code:	40879
  Dates:	Date Event June 2012 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	14 Aug 2012 04:25
  Last modified:	13 Dec 2024 01:12
  URI:	https://strathprints.strath.ac.uk/id/eprint/40879