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arXiv · 1703.09192

Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation

Sebastian Throm
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Abstract

We consider self-similar profiles to Smoluchowski's coagulation equation for which we derive the precise asymptotic behaviour at infinity. More precisely, we look at so-called fat-tailed profiles which decay algebraically and as a consequence have infinite total mass. The results only require mild assumptions on the coagulation kernel and thus cover a large class of rate kernels.

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Sebastian Throm. 2017-03-27. Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation. https://doi.org/10.1007/s10955-018-1980-6

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