A stochastic method for solving Smoluchowski's coagulation equation
نویسنده
چکیده
{ This paper studies a stochastic particle method for the numerical treatment of Smoluchowski equation governing the coagulation of particles in a host gas. Convergence in probability is established for the Monte Carlo estimators, when the number of particles tends to in nity. The deterministic limit is characterized as the solution of a discrete in time version of the Smoluchowski equation. Under some restrictions it is shown that this stochastic nite di erence scheme is convergent to the solution of the original Smoluchowski equation. Extensions on a nonhomogeneous Smoluchowski equation are given, and in particular, a coagulation process in an isotropic fully developed turbulent ow is studied.
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Smoluchowski's Coagulation Equation: Uniqueness, Non-uniqueness and a Hydrodynamic Limit for the Stochastic Coalescent
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