Lecture notes on the mathematical theory of the Boltzmann equation
Author(s)
Bibliographic Information
Lecture notes on the mathematical theory of the Boltzmann equation
(Series on advances in mathematics for applied sciences, vol. 33)
World Scientific, c1995
Available at 22 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Table of Contents
- On the derivation of kinetic equations from maximum entropy principles, J. Polewczak
- on the Cauchy problem for the Boltzmann equation, L. Arlotti and N. Bellomo
- asymptotic analysis of nonlinear kinetic equations - the hydrodynamic limit, M. Lachowicz
- current computational methods for the nonlinear Boltzmann equation, W. Walus.
by "Nielsen BookData"