Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent

Details Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent

1998-01-09

arxiv.org/abs/math/9801145v1

Mathematics

Probability

Scientific paper

Sufficient conditions are given for existence and uniqueness in
Smoluchowski's coagulation equation, for a wide class of coagulation kernels
and initial mass distributions. An example of non-uniqueness is constructed.
The stochastic coalescent is shown to converge weakly to the solution of
Smoluchowski's equation.

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