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Nonlinear Boltzmann Equation Solutions and Applications to Fluid Dynamics

[+] Author and Article Information
N. Bellomo

Department of Mathematics, Politecnico, Torino, Italy

P. LeTallec

INRIA, Rocquencourt, France

B. Perthame

Laboratoire Analyse Numèrique, Univ Paris VI, France

Appl. Mech. Rev 48(12), 777-794 (Dec 01, 1995) (18 pages) doi:10.1115/1.3005093 History: Online April 29, 2009

Abstract

This paper provides a review of the mathematical results on the solution of the nonlinear Boltzmann equation. The survey deals both with analytical and computational aspects: Mathematical formulation of problems, initial and/or boundary value problems, a survey of the qualitative analysis of solutions, and computational treatment of fluid dynamical problems. A discussion of some problems deserving further study concludes this work.

Copyright © 1995 by The American Society of Mechanical Engineers
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