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Mass-conserving self-similar solutions to coagulation-fragmentation equations (1902.04829v1)
Published 13 Feb 2019 in math.AP
Abstract: Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. The proof combines a dynamical approach to construct such solutions for a regularised coagulation-fragmentation equation in scaling variables and a compactness method.
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