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Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey

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Abstract

In the paper we present a survey of recent results obtained by the author that concern discrete fragmentation–coagulation models with growth. Models like that are particularly important in mathematical biology and ecology where they describe the aggregation of living organisms. The main results discussed in the paper are the existence of classical semigroup solutions to the fragmentation–coagulation equations.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Pretoria, 0002, Pretoria, South Africa

    Jacek Banasiak

  2. Institute of Mathematics, Technical University of Łódź, 90-924, Łódź, Poland

    Jacek Banasiak

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  1. Jacek Banasiak
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Correspondence to Jacek Banasiak.

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Supported by National Research Foundation of South Africa (Grant No. 82770)

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Banasiak, J. Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey. Acta. Math. Sin.-English Ser. 35, 83–104 (2019). https://doi.org/10.1007/s10114-018-7435-9

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