Banasiak, Jacek and Lamb, Wilson
(2003)
*On the application of substochastic semigroup theory to fragmentation models with mass loss.*
Journal of Mathematical Analysis and Applications, 284 (1).
pp. 9-30.
ISSN 0022-247X

Official URL: http://dx.doi.org/10.1016/S0022-247X(03)00154-9

## Abstract

A linear integro-differential equation modelling multiple fragmentation with inherent mass loss is investigated by means of substochastic semigroup theory. The existence of a semigroup is established and, under natural conditions on certain coefficients, the generator of this semigroup is identified. This yields, in particular, a validation of the formal mass-loss rate equation for the model.

Item type: | Article |
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ID code: | 2116 |

Keywords: | semigroups of operators, abstract cauchy problem, multiple fragmentation with mass loss, mathematics, integro-differential equation, Mathematics, Analysis, Applied Mathematics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Strathprints Administrator |

Date Deposited: | 17 Nov 2006 |

Last modified: | 04 Sep 2014 10:29 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2116 |

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