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

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Hydrodynamic limit of coagulation-fragmentation type models of k-nary interacting particles. / Kolokoltsov, VN.

In: Journal of Statistical Physics, Vol. 115, No. 5-6, 06.2004, p. 1621-1653.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{e87e335d716342c9a1d72c284fbfd997,

title = "Hydrodynamic limit of coagulation-fragmentation type models of k-nary interacting particles",

abstract = "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.",

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

author = "VN Kolokoltsov",

year = "2004",

month = jun,

doi = "10.1023/B:JOSS.0000028071.96950.12",

language = "Английский",

volume = "115",

pages = "1621--1653",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer Nature",

number = "5-6",

}

RIS

TY - JOUR

T1 - Hydrodynamic limit of coagulation-fragmentation type models of k-nary interacting particles

AU - Kolokoltsov, VN

PY - 2004/6

Y1 - 2004/6

N2 - 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.

AB - 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.

KW - Interacting particles

KW - k-nary interaction

KW - measure-valued limits

KW - kinetic equation

KW - mass exchange processes

KW - coagulation-fragmentation

KW - diffusion approximation

KW - EQUATIONS

KW - COALESCENCE

KW - UNIQUENESS

KW - EXISTENCE

KW - SYSTEMS

U2 - 10.1023/B:JOSS.0000028071.96950.12

DO - 10.1023/B:JOSS.0000028071.96950.12

M3 - статья

VL - 115

SP - 1621

EP - 1653

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -

ID: 86492445