Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

On extensions of mollified Boltzmann and Smoluchowski equations to particle systems with a k-ary interaction

Tools
- Tools
+ 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.

[img]
Preview
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...

Request Changes to record.

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 > 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:
DateEvent
2003Published
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 View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us