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Series on Advances in Mathematics for Applied Sciences - Vol. 33

LECTURE NOTES ON MATHEMATICAL THEORY OF THE BOLTZMANN EQUATION

edited by N Bellomo (Politecnico di Torino, Italia)

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.


Contents:

  • On the Cauchy Problem for the Boltzmann Equation (L Arlotti & N Bellomo)
  • Asymptotic Analysis of Nonlinear Kinetic Equations: The Hydrodynamic Limit (M Lachowicz)
  • An Introduction to Kinetic Theory of Dense Gases (J Polewczak)
  • Computational Methods for the Boltzmann Equation (W Walus)
  • General Bibliography


Readership: Applied mathematicians.

272pp Pub. date: Aug 1995
ISBN 978-981-02-2166-9
981-02-2166-5
US$76 / £52


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 23 July 2008