Fragmentation arising from a distributional initial condition

W. Lamb; A.C. McBride; G.C. McGuinness

doi:10.1002/mma.1276

Fragmentation arising from a distributional initial condition

W. Lamb
, A.C. McBride
, G.C. McGuinness

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

63 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1183-1191
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	33
Issue number	10
DOIs	https://doi.org/10.1002/mma.1276
Publication status	Published - 15 Jul 2010

Keywords

fragmentation
abstract cauchy problem
equicontinuous semigroup
dirac delta

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10.1002/mma.1276

Paper2 3Submitted manuscript, 211 KB

Cite this

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Fragmentation arising from a distributional initial condition

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