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. doi:10.1098/rspa.2002.1026 ISSN 1364-5021.

Preview

PDF WRAP_Kolokoltsov_belroyal.pdf - Submitted Version - Requires a PDF viewer. Download (271Kb)

Request Changes to record.

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, Engineering and Medicine > 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
Official Date:	2003
Dates:	Date Event 2003 Published
Volume:	Vol.459
Number:	No.2031
Page Range:	pp. 727-748
DOI:	10.1098/rspa.2002.1026
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

Request changes or add full text files to a record

Repository staff actions (login required)

View Item

Downloads