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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 coagulation-fragmentation type models of k-nary interacting particles. Journal of Statistical Physics, Vol.115 (No.5/6). pp. 1621-1653. doi:10.1023/B:JOSS.0000028071.96950.12 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1023/B:JOSS.0000028071.96950....
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 non-deterministic measure-valued limit (diffusion approximation) is discussed.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Particles -- Dynamics, Particles -- Mathematical models, Mass transfer -- Mathematical models | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0022-4715 | ||||
Official Date: | 2004 | ||||
Dates: |
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Volume: | Vol.115 | ||||
Number: | No.5/6 | ||||
Page Range: | pp. 1621-1653 | ||||
DOI: | 10.1023/B:JOSS.0000028071.96950.12 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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