English  |  正體中文  |  简体中文  |  Items with full text/Total items : 78111/78111 (100%) Visitors : 30667913      Online Users : 165
 Scope All of NCUIR 理學院    數學研究所       --博碩士論文 Tips: please add "double quotation mark" for query phrases to get precise resultsplease goto advance search for comprehansive author search Adv. Search
 NCU Institutional Repository > 理學院 > 數學研究所 > 博碩士論文 >  Item 987654321/7969

 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

Files in This Item:

File SizeFormat