The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem

  • Seiji Ukai

DOI: 10.1007/BF03168581

Cite this article as:
Ukai, S. Japan J. Indust. Appl. Math. (2001) 18: 383. doi:10.1007/BF03168581


A technique based on the abstract Cauchy-Kovalevskaya theorem is used to derive uniform estimates of solutions of BBGKY hierarchy, which improves Lanford’s theorem on the Boltzmann-Grad limit and simplifies its proof, in part. It is also applied to the Euler limit of the Boltzmann hierarchy.

Key words

Newton equation Boltzmann equation BBGKY hierarchy Boltzmann-Grad limit abstract Cauchy-Kovalevskaya theorem 

Copyright information

© JJIAM Publishing Committee 2001

Authors and Affiliations

  • Seiji Ukai
    • 1
  1. 1.Department of Applied MathematicsYokohama National UniversityYokohamaJapan

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