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arxiv: 1901.08313 · v1 · pith:HRR5LHYBnew · submitted 2019-01-24 · 🧮 math.AP

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

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

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