Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach

Lamb, Wilson and McBride, Adam and Smith, Ann Louise (2013) Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach. Discrete and Continuous Dynamical Systems - Series A, 33 (11/12). pp. 5177-5187. ISSN 1078-0947

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    Abstract

    We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete or continuous. Existence and uniqueness of strong solutions to the associated abstract Cauchy problems are established by using the theory of substochastic semigroups of operators.

    Author(s):Lamb, Wilson ORCID logoORCID: https://orcid.org/0000-0001-8084-6054, McBride, Adam and Smith, Ann Louise
    Item type:Article
    ID code:42356
    Notes:updated page numbers
    Keywords:fragmentation process, coagulation–fragmentation, size profiles, semigroup approach, semilinear Cauchy problems, multicomponent coagulation-fragmentation processes, semigroups of operators, Probabilities. Mathematical statistics, Discrete Mathematics and Combinatorics, Analysis, Applied Mathematics
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:12 Dec 2012 10:49
    Last modified:07 Nov 2019 02:23
    URI:https://strathprints.strath.ac.uk/id/eprint/42356
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