研究生: |
張昭毅 Chang, Chao Yi |
---|---|
論文名稱: |
關於波茲曼方程式的推導 On the Derivation of Boltzmann equation |
指導教授: |
江金城
Jiang, Jin Cheng |
口試委員: |
蔡東和
Tsai, Dong He 洪盟凱 Hong, John M. |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2015 |
畢業學年度: | 103 |
語文別: | 英文 |
論文頁數: | 22 |
中文關鍵詞: | 波茲曼方程式 |
外文關鍵詞: | Boltzmann equation |
相關次數: | 點閱:2 下載:0 |
分享至: |
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從劉維爾方程式推導波茲曼方程的關鍵假設部分、輔助定理的描述以及對碰撞部分的一些估計。
The following content involves derivation of Boltzmann equation from Liouville's equation. It is assumed that readers own some basic concepts about gas in physical aspect. The main part is to illustrate the process with three critical assumptions, and to explain clearly in supplement to accomplish the derivation.
1.Stewart Harris
An introduction to the theory of the Boltzmann equation
2.Cercignani, Carlo
The Boltzmann equation and its applications
3.Saint-Raymond, Laure
Hydrodynamic limits of the Boltzmann equation
4.World Scientific, 1995
Lecture notes on the mathematical theory of the Boltzmann equation
5.Cercignani, Carlo
The relativistic Boltzmann equation: theory and applications