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

Listed author(s):
  • Cepeda, Eduardo
  • Fournier, Nicolas
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    We derive a satisfying rate of convergence of the Marcus-Lushnikov process towards the solution to Smoluchowski's coagulation equation. Our result applies to a class of homogeneous-like coagulation kernels with homogeneity degree ranging in (-[infinity],1]. It relies on the use of a Wasserstein-type distance, which has shown to be particularly well-adapted to coalescence phenomena. It was introduced and used in preceding works (Fournier and Laurençot (2006) [7]) and (Fournier and Löcherbach (2009) [8]).

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    Article provided by Elsevier in its journal Stochastic Processes and their Applications.

    Volume (Year): 121 (2011)
    Issue (Month): 6 (June)
    Pages: 1411-1444

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    Handle: RePEc:eee:spapps:v:121:y:2011:i:6:p:1411-1444
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    1. Fournier, Nicolas & Löcherbach, Eva, 2009. "Stochastic coalescence with homogeneous-like interaction rates," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 45-73, January.
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