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Coagulation and fragmentation with discrete mass loss

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

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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

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