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 |
| 巻 | 7 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 1990 6月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 工学（全般）
- 応用数学