Belavkin, V. P. and Kolokoltsov, V. N. (Vasiliĭ Nikitich). (2003) On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol.459 (No.2031). pp. 727-748. ISSN 1364-5021

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Abstract

We deduce the most general kinetic equation that describe the low density limit of general Feller processes for the systems of random number of particles with interaction, collisions, fragmentation and coagulation. This is done by studying the limiting as ε -> 0 evolution of Feller processes on ∪n∞ Xn with X = Rd or X = Zd described by the generators of the form ε-1 ∑K k=0 εkB(k), K ∈ N, where B(k) are the generators of k-arnary interaction, whose general structure is also described in the paper.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Particles -- Dynamics, Particles -- Mathematical models
Journal or Publication Title:	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher:	The Royal Society
ISSN:	1364-5021
Date:	2003
Volume:	Vol.459
Number:	No.2031
Page Range:	pp. 727-748
Identification Number:	10.1098/rspa.2002.1026
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/39368

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