The Library
On extensions of mollified Boltzmann and Smoluchowski equations to particle systems with a k-ary interaction
Tools
Kolokoltsov, V. N. (Vasiliĭ Nikitich) (2003) On extensions of mollified Boltzmann and Smoluchowski equations to particle systems with a k-ary interaction. Russian Journal of Mathematical Physics, Vol.10 (No.3). pp. 268-295. ISSN 1555-6638 .
|
PDF
WRAP_Kolokoltsov_k-ary_boltzman.pdf - Submitted Version - Requires a PDF viewer. Download (304Kb) |
Official URL: http://www.maik.ru/contents/mathphys/mathphys3_3v1...
Abstract
We deduce the kinetic equations describing the low density (and the large
number of particles) limit of interacting particle systems with k-nary interaction of pure
jump type supplemented by an underlying "free motion" being an arbitrary Feller process.
The well posedness of the Cauchy problem together with the propagation of chaos property
are proved for these kinetic equations under some reasonable assumptions. Particular cases
of our general equations are given by (spatially non-trivial) Boltzmann and Smoluchovski
equations with mollifier. Even for the classical binary models our analysis yield new results.
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: | Russian Journal of Mathematical Physics | ||||
Publisher: | M A I K Nauka - Interperiodica | ||||
ISSN: | 1555-6638 | ||||
Official Date: | 2003 | ||||
Dates: |
|
||||
Volume: | Vol.10 | ||||
Number: | No.3 | ||||
Page Range: | pp. 268-295 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year