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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Official URL: https://doi.org/10.1002/mma.1276
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.
Creators(s): |
Lamb, W. ![]() | Item type: | Article |
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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: | 20 Jan 2021 19:06 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/28129 |
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