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研究生： 蕭宏宇
Hsiao, Hung-Yu
論文名稱： 小初值波茲曼方程式的整體解和漸進行為
On the global existence and asymptotic behavior for the Boltzmann equation with small data
指導教授： 江金城
Jiang, Jin-Cheng
口試委員: 蔡東和
Tsai, Dong-Ho
李明憶
Lee, Ming-Yi
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： 2018
畢業學年度： 106
語文別： 英文
論文頁數： 34
中文關鍵詞： 小初值 、波茲曼方程式 、整體解 、漸進行為
外文關鍵詞： small, Boltzmann
相關次數： 點閱：82  下載：0 
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    • 研究Kamel Hamdache於1985年發表關於小初值波茲曼方程之整體解與漸進行為之論文並補充細節與修正錯誤。

    We study Kamel Hamdache's paper "Existence in the Large and Asymp-
    totic Behaviour for the Boltzmann Equation" by supplying more details to proofs and correcting typos.

    1. Some Notations and Function spaces p.3 2. Estimation of the Collision Operator p.6 3. Global Existence and Asymptotic Behaviour p.23 References p.34

    [1] Karim M. Abadir and Jan R. Magnus, "Matrix Algebra," Cambridge University Press (2005).

    [2] K. Hamdache, "Existence in the large and asymptotic behaviour for the Boltzmann equation," Japan
    Journal of Applied Mathematics (1985), 1-15.

    [3] R. Illner and M. Shinbrot, "The Boltzmann equation: Global existence for a rare gas in an in nite
    vacuum," Communications in Mathematical Physics, Volume 95 (1984), 217-226.

    [4] W. Rudin, "Real and complex analysis," 3rd., McGraw-Hill Book Company, New York. (1987).

    [5] L. Tartar, "Some existence theorems for semilinear hyperbolic systems in one space variable," Univ.
    Wisconsin, Madison.(1980).

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