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 metadata

  Item type:	Article
  ID code:	28129
  Dates:	Date Event 15 July 2010 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	13 Oct 2010 15:31
  Last modified:	08 Apr 2024 18:41
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/28129