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On a general kinetic equation for manyparticle systems with interaction, fragmentation and coagulation
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Belavkin, V. P. and Kolokoltsov, V. N. (Vasiliĭ Nikitich). (2003) On a general kinetic equation for manyparticle systems with interaction, fragmentation and coagulation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol.459 (No.2031). pp. 727748. ISSN 13645021

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Official URL: http://dx.doi.org/10.1098/rspa.2002.1026
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 ε1 ∑K k=0 εkB(k), K ∈ N, where B(k) are
the generators of karnary 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:  13645021 
Official Date:  2003 
Volume:  Vol.459 
Number:  No.2031 
Page Range:  pp. 727748 
Identification Number:  10.1098/rspa.2002.1026 
Status:  Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Restricted or Subscription Access 
References:  [1] D.J. Aldous. Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the meanfield theory for probabilists. Bernoulli 5:1 (1999), 348. 
URI:  http://wrap.warwick.ac.uk/id/eprint/39368 
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