- We consider self-similar solutions of Smoluchowski's coagulation equation with a diagonal kernel of homogeneity γ<1. We show that there exists a family of second-kind self-similar solutions with power-law behavior x-(1+ρ) as x→∞ with ρepsi;(γ,1). To our knowledge this is the first example of a non-solvable kernel for which the existence of such a family has been established. © 2011 Académie des sciences. Published by Elsevier Masson SAS.
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