Boltzmann方程式の確率論的取扱い

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Author(s): 田中洋
Series: 東大数学教室セミナリー・ノート 35
Publisher: 東大数学教室
Year: 1975

Language: Japanese
Pages: 81

目次
§0. はじめに
I. Maxwellian gasのBoltzmann方程式(cutoffの場合)
§1. 解の構成・非線形半群Qₜ
§2. 確率測度間の距離
§3. Contraction property of Qₜ
§4. 平衡状態への移行
II. Kacのmodelに関するGrünbaumの結果
§5. Linearized operatorの固有値と平衡移行の速さ
Bateman, Higher Transcendental Functions II, p.196
§6. Linearization mapの存在(1)
§7. (周期)解の漸近的性質
§8. Linearization mapの存在(2)
参考文献