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.

Original languageEnglish
Pages (from-to)1621-1653
Number of pages33
JournalJournal of Statistical Physics
Volume115
Issue number5-6
DOIs
StatePublished - Jun 2004

    Research areas

  • Interacting particles, k-nary interaction, measure-valued limits, kinetic equation, mass exchange processes, coagulation-fragmentation, diffusion approximation, EQUATIONS, COALESCENCE, UNIQUENESS, EXISTENCE, SYSTEMS

ID: 86492445