The Boltzmann equation and thirteen moments

研究成果: Article査読

49 被引用数 (Scopus)

抄録

The initial value problem for the nonlinear Boltzmann equation is studied. For the existence of global solutions near a Maxwellian, it is important to obtain a desired decay estimate for the linearized equation. In previous works, such a decay estimate was obtained by a method based on the spectral theory for the linearized Boltzmann operator. The aim of this paper is to show the same decay estimate by a new method. Our method is the so-called energy method and makes use of a Ljapunov function for the ordinary differential equation obtained by taking the Fourier transform. Our Ljapunov function is constructed explicitly by using some property of the equations for thirteen moments.

本文言語English
ページ(範囲)301-320
ページ数20
ジャーナルJapan Journal of Applied Mathematics
7
2
DOI
出版ステータスPublished - 1990 6
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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