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Mass-conserving solutions to coagulation-fragmentation equations with balanced growth

Volume 159 / 2020

Philippe Laurençot Colloquium Mathematicum 159 (2020), 127-155 MSC: Primary 45K05. DOI: 10.4064/cm7827-2-2019 Published online: 30 October 2019


A specific class of coagulation and fragmentation coefficients is considered for which the strength of coagulation is balanced by that of multiple fragmentation. Existence and uniqueness of mass-conserving solutions is proved when the initial total mass is sufficiently small.


  • Philippe LaurençotInstitut de Mathématiques de Toulouse, UMR 5219
    Université de Toulouse, CNRS
    F-31062 Toulouse Cedex 9, France

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