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arXiv · 1801.08308

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

Philippe Laurençot
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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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Philippe Laurençot. 2018-01-25. Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels. https://doi.org/10.1007/s10955-018-2018-9

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