The Library
On a general kinetic equation for manyparticle systems with interaction, fragmentation and coagulation
Tools
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

PDF
WRAP_Kolokoltsov_belroyal.pdf  Submitted Version  Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (271Kb) 
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  
Dates: 


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 
Request changes or add full text files to a record
Actions (login required)
View Item 
Downloads
Downloads per month over past year