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Fragmentation arising from a distributional initial condition

Lamb, W. and McBride, A.C. and McGuinness, G.C. (2010) Fragmentation arising from a distributional initial condition. Mathematical Methods in the Applied Sciences, 33 (10). pp. 1183-1191. ISSN 0170-4214

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    Abstract

    A standard model for pure fragmentation is subjected to an initial condition of Dirac-delta type. Results for a corresponding abstract Cauchy problem are derived via the theory of equicontinuous semigroups of operators on locally convex spaces. An explicit solution is obtained for the case of a power-law kernel. Rigorous justification is thereby provided for results obtained more formally by Ziff and McGrady. Copyright © 2010 John Wiley & Sons, Ltd.

    Item type: Article
    ID code: 28129
    Keywords: fragmentation, abstract cauchy problem, equicontinuous semigroup, dirac delta, Mathematics, Engineering(all), Mathematics(all)
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Mrs Carolynne Westwood
    Date Deposited: 13 Oct 2010 16:31
    Last modified: 27 Mar 2014 11:08
    URI: http://strathprints.strath.ac.uk/id/eprint/28129

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