Journal of Statistical Physics, Vol. 115, Nos. 5/6, June 2004. p. 1621-1653.
Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and physical literature. Existence and uniqueness theorems for these equations are proved. At last, for k-nary mass exchange processes with k > 2 an alternative nondeterministic measure-valued limit (diffusion approximation) is discussed.