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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

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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.

    Item type: Article
    ID code: 40879
    Keywords: semigroups of operators, fragmentation, long time asymptotics, compactness, asynchronous exponential growth property, Mathematics, Numerical Analysis, Modelling and Simulation
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 14 Aug 2012 05:25
      Last modified: 06 Sep 2014 14:02
      URI: http://strathprints.strath.ac.uk/id/eprint/40879

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