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arxiv: 1802.08038 · v2 · pith:QHLKEG7Pnew · submitted 2018-02-22 · 🧮 math.AP

A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation

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keywords approximationcfesnon-conservativecoagulation-fragmentationsolutionsarticleclassescoagulation
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In general, the non-conservative approximation of coagulation-fragmentation equations (CFEs) may lead to the occurrence of gelation phenomenon. In this article, it is shown that the non-conservative approximation of CFEs can also provide the existence of mass conserving solutions to CFEs for large classes of unbounded coagulation and fragmentation kernels.

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