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Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels

Published 25 Jan 2018 in math.AP, math-ph, and math.MP | (1801.08308v1)

Abstract: Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation is shown when the coagulation kernel $K$ is given by $K(x,x_)=2(x x_){-\alpha}$, $(x,x_*)\in (0,\infty)2$, for some $\alpha>0$.

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