Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process

Details Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process

2010-10-04

arxiv.org/abs/1010.0598v2

Mathematics

Probability

34 Pages

Scientific paper

We derive a satisfying rate of convergence of the Marcus-Lushnikov process
toward the solution to Smoluchowski's coagulation equation. Our result applies
to a class of homogeneous-like coagulation kernels with homogeneity degree
ranging in $(-\infty,1]$. It relies on the use of a Wasserstein-type distance,
which has shown to be particularly well-adapted to coalescence phenomena.

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