Discrete coagulation-fragmentation systems in weighted l1 spaces

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Kerr, Lyndsay and Langer, Matthias (2026) Discrete coagulation-fragmentation systems in weighted l1 spaces. Integral Equations and Operator Theory. ISSN 0378-620X (In Press) (https://doi.org/10.1007/s00020-026-02838-w)

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Abstract

We study an infinite system of ordinary differential equations that models the evolution of coagulating and fragmenting clusters, which we assume to be composed of identical units. Under very mild assumptions on the coefficients we prove existence, uniqueness and positivity of solutions of a corresponding semi-linear Cauchy problem in a weighted l1 space. This requires the application of novel results, which we prove for abstract semi-linear Cauchy problems in Banach lattices where the non-linear term is defined only on a dense subspace.

ORCID iDs

Kerr, Lyndsay ORCID logoORCID: https://orcid.org/0000-0002-6667-7175 and Langer, Matthias ORCID logoORCID: https://orcid.org/0000-0001-8813-7914;
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