Mathematical Notes

, Volume 64, Issue 1, pp 63–81 | Cite as

Logarithmic asymptotics of solutions of the large deviation problem for the boltzmann equation with small transfer of momentum

  • V. P. Maslov
  • A. M. Chebotarev
Article
  • 32 Downloads

Abstract

For the Boltzmann equation with small transfer of momentum, we derive a system of nonlinear integral-differential equations describing the logarithmic asymptotics of the solution to the Cauchy problem in the domain at the distanceO(1) from the support of the initial condition.

Key words

Boltzmann equation kinetic equation transfer equation momentum transfer WKB-expansion logarithmic asymptotics Laplace asymptotics large deviation problem 

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Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • V. P. Maslov
    • 1
  • A. M. Chebotarev
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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