Journal of Statistical Physics

, Volume 45, Issue 3–4, pp 589–610 | Cite as

On the initial layer solution of the Boltzmann equation with small Knudsen number

  • E. J. Ding
  • Z. Q. Huang
Articles
  • 37 Downloads

Abstract

We extend our method of systematic removal of secular terms in a singular perturbation treatment of the Boltzmann equation with small Knudsen numbers to the initial layer. The requirement that the solution through the initial layer should connect smoothly to the normal solution removes an ambiguity noted in our previous paper. We show that removal of secular terms improves Grad's solution for the initial layer and reintroduces soundlike modes associated with higher moments, first found by Wang Chang and Uhlenbeck.

Key words

Boltzmann equation “initial layer” relaxation singular perturbation 

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References

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • E. J. Ding
    • 1
    • 2
  • Z. Q. Huang
    • 1
  1. 1.Institute of Low Energy Nuclear PhysicsBeijing Normal UniversityBeijingChina
  2. 2.Institutt for Teoretisk FysikkTrondheim-NTHNorway

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