| 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 |