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 (https://doi.org/10.1002/mma.1276)
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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.
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Item type: Article ID code: 28129 Dates: DateEvent15 July 2010PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Mrs Carolynne Westwood Date deposited: 13 Oct 2010 15:31 Last modified: 24 Aug 2024 00:34 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/28129
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