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.

    ORCID iDs

    Lamb, Wilson ORCID logoORCID: https://orcid.org/0000-0001-8084-6054, McBride, Adam and Smith, Ann Louise;
    • Item type:Article
      ID code:42356
      Dates:
      Date
      Event
      November 2013
      Published
      16 May 2013
      Published Online
      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:18 May 2021 00:24
      URI:https://strathprints.strath.ac.uk/id/eprint/42356
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