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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7969


    Title: On the Positive Solution for Grad-Shafranov Equation
    Authors: 吳彥霖;Yen-Lin Wu
    Contributors: 數學研究所
    Date: 2009-06-23
    Issue Date: 2009-09-22 11:10:28 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 在這篇論文中,我們考慮由電漿物理所衍生之Grad-Shafranov 方程式(請參考郝玲妮教授與其博士生傅瑋宗之文章[2]、[3])。利用正規擾動方法,我們觀察此方程(在一維情況下)之正解,對其參數Kappa 之極限行為。此外,我們亦提供一些徑向解的結構,諸如全域存在性、唯一性以及漸進行為。 In this thesis, we consider a new type of Grad-Shafranov equation : $$displaystyle Delta u=Big(1+frac{cu}{kappa}Big)^{-kappa+frac{1}{2}} $$ arising from the plasma physics (see Ref. cite{HF1} and cite{HF2} by L.-N. Hau and W.-Z. Fu). Using the method of regular perturbation, we investigate the limiting behavior of positive solutions (for 1D case) with respect to the parameter Kappa $kappa$ (as $kappa o infty$). In addition, the global existence, uniqueness and asymptotic behavior of positive radial solutions will be proved as well.
    Appears in Collections:[數學研究所] 博碩士論文

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