### 博碩士論文 962201027 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 數學系 zh_TW DC.creator 吳彥霖 zh_TW DC.creator Yen-Lin Wu en_US dc.date.accessioned 2009-6-30T07:39:07Z dc.date.available 2009-6-30T07:39:07Z dc.date.issued 2009 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=962201027 dc.contributor.department 數學系 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.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。 zh_TW dc.description.abstract 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. en_US DC.title On the Positive Solution for Grad-Shafranov Equation en_US dc.language.iso en_US en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US