政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/60082
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    題名: 波茲曼方程式柔和解的存在性
    Existence result of mild solution of Boltzmann equation
    作者: 魏照誠
    Chao-Cheng Wei
    貢獻者: 李明融
    魏照誠
    Chao-Cheng Wei
    關鍵詞: 波茲曼方程
    柔和解的存在性
    均勻穩定性
    日期: 2009
    上傳時間: 2013-09-04 15:15:35 (UTC+8)
    摘要: 我們利用Banach固定點定理證明了波茲曼方程式的柔和解在一個加權魯貝格空間上的存在性，並證明其解在如此的範數下之均勻穩定性。
    關鍵詞: 波茲曼方程，馬氏分佈函數，柔和解的存在性，均勻穩定。
    In this thesis, we consider the initial-value problem for the Boltzmann equation.We prove that the existence of mild solution in the weighted Lebesgue space by using Banach`s fixed point theorem, and that the uniform stability of solution with respect to the weighted norm.
    Key words: Boltzmann equation, Maxwellian, existence of mild solutions, uniform stability.
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    owner = {FUJITSU},
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    owner = {FUJITSU},
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    No. 8},
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    timestamp = {2010.05.15}
    }

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    year = {2006},
    note = {p. 053301},
    owner = {FUJITSU},
    timestamp = {2010.04.09}
    }

    @ARTICLE{Yu3,
    author = {Shih-Hsien Yu},
    title = {Hydrodynamic limits with Shock Waves of the {B}oltzmann equation},
    journal = {Commun. Pur. Appl. Math, 58},
    year = {2005},
    pages = {409-443},
    owner = {FUJITSU},
    timestamp = {2010.05.02}
    }
    描述: 碩士
    國立政治大學
    應用數學研究所
    97751004
    98
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0097751004
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

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