Asymptotics of the Boltzmann Equation and Fluid Dynamics

  • R. E. Caflisch
Part of the International Centre for Mechanical Sciences book series (CISM, volume 293)


The relations and differences between the Boltzmann equation and the fluid dynamic equations is one of the most interesting features of kinetic theory. In these four lectures at CISM in Udine I present an outline of this theory and some of its main results: derivation and validity of the fluid equations using the Hilbert and Chapman-Enskog expansions, description of shock waves, boundary layer solutions, and fluid dynamics of discrete velocity models. The objective of these lectures is to present rigorous results with solid physical meaning and to suggest further lines of research.


Boltzmann Equation Euler Equation Boundary Layer Solution Fluid Dynamic Equation Nonlinear Boltzmann Equation 
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    T. Platkowski and R. Illner. Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical Aspects of the Theory. SIAM Review to appear.Google Scholar

Copyright information

© Springer-Verlag Wien 1988

Authors and Affiliations

  • R. E. Caflisch
    • 1
  1. 1.New York UniversityNew YorkUSA

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