Hydrodynamic limit of coagulation-fragmentation type models of k-nary interacting particles

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Kolokoltsov, V. N. (Vasiliĭ Nikitich) (2004)

Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical\ud Smoluchovski's coagulation equations and many other models that are intensively studied\ud in the current mathematical and physical literature. Existence and uniqueness theorems\ud for these equations are proved. At last, for k-nary mass exchange processes with k > 2 an\ud alternative non-deterministic measure-valued limit (diffusion approximation) is discussed.
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