The Boltzmann equation and thirteen moments

研究成果: Article

45 引用 (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.

元の言語English
ページ(範囲)301-320
ページ数20
ジャーナルJapan Journal of Applied Mathematics
7
発行部数2
DOI
出版物ステータスPublished - 1990 6 1
外部発表Yes

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Boltzmann equation
Decay Estimates
Boltzmann Equation
Moment
Initial value problems
Ordinary differential equations
Fourier transforms
Spectral Theory
Energy Method
Ludwig Boltzmann
Global Solution
Initial Value Problem
Fourier transform
Nonlinear Equations
Ordinary differential equation
Operator

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

これを引用

The Boltzmann equation and thirteen moments. / Kawashima, Shuichi.

:: Japan Journal of Applied Mathematics, 巻 7, 番号 2, 01.06.1990, p. 301-320.

研究成果: Article

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