Blair, P.N. and Lamb, W. and Stewart, I.W. (2007) Coagulation and fragmentation with discrete mass loss. Journal of Mathematical Analysis and Applications, 329 (2). pp. 1285-1302. ISSN 0022-247X
Full text not available in this repository. (Request a copy from the Strathclyde author)Abstract
A nonlinear integro-differential equation that models a coagulation and multiple fragmentation process in which discrete fragmentation mass loss can occur is examined using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel Click to view the MathML source is bounded and the fragmentation rate function a satisfies a linear growth condition, global existence and uniqueness of solutions that lose mass in accordance with the model are established. In the case when no coagulation is present and the fragmentation process is governed by power-law kernels, an explicit formula is given for the substochastic semigroup associated with the resulting mass-loss fragmentation equation.
| Item type: | Article |
|---|---|
| ID code: | 4549 |
| Keywords: | Cauchy problem, coagulation, fragmentation, numerical mathematics, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics Unknown Department |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 01 Nov 2007 |
| Last modified: | 12 Mar 2012 10:41 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/4549 |
Actions (login required)
| View Item |