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.

    Author(s):Lamb, W. ORCID logoORCID: https://orcid.org/0000-0001-8084-6054, McBride, A.C. and McGuinness, G.C.
    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
    Depositing user: Mrs Carolynne Westwood
    Date deposited:13 Oct 2010 15:31
    Last modified:07 Nov 2019 09:03
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/28129
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