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.