On the application of substochastic semigroup theory to fragmentation models with mass loss

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 (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.

ORCID iDs

Lamb, Wilson ORCID: https://orcid.org/0000-0001-8084-6054

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• Item metadata

  Item type:	Article
  ID code:	2116
  Dates:	Date Event 2003 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	17 Nov 2006
  Last modified:	11 Nov 2024 08:23
  URI:	https://strathprints.strath.ac.uk/id/eprint/2116