203 research outputs found
Self-similar solutions with fat tails for a coagulation equation with diagonal kernel
We consider self-similar solutions of Smoluchowski's coagulation equation
with a diagonal kernel of homogeneity . We show that there exists a
family of second-kind self-similar solutions with power-law behavior
as with . To our knowledge
this is the first example of a non-solvable kernel for which the existence of
such a family has been established
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