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
Full text not available in this repository. (Request a copy from the Strathclyde author)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 |
|---|---|
| ID code: | 2116 |
| Keywords: | semigroups of operators, abstract cauchy problem, multiple fragmentation with mass loss, mathematics, integro-differential equation, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 17 Nov 2006 |
| Last modified: | 12 Mar 2012 10:37 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2116 |
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