| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 簡如杰 | zh_TW |
| DC.creator | Ru-Jie Jian | en_US |
| dc.date.accessioned | 2013-8-20T07:39:07Z | |
| dc.date.available | 2013-8-20T07:39:07Z | |
| dc.date.issued | 2013 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=100221019 | |
| 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 | 在本篇論文中，我們探討了在旋轉效應下的非線性雙曲型平衡律，以及討論關於一維平衡律的黎曼問題。此非線性平衡律可以被轉換成沒有源項的系統，但是通量是一個未知及時間的函數。我們利用漸進展開的方法找出此黎曼問題的逼近解。接著，我們拓展此結果去探討伴隨科氏力作用的二維淺水波方程。我們介紹一些轉換方法利用其解對稱的特性，將二維的系統轉換成一維的系統。 | zh_TW |
| dc.description.abstract | In this thesis we study the nonlinear hyperbolic systems of balance laws with rotational effect. The Riemann problem for one-dimensional balance laws is considered. The nonlinear balance laws is transformed into a system without source, but the flux is a function of unknowns and time. The approximate solution of the Riemann problem is constructed by the technique of asymptotic expansion. We extend the results to the two-dimensional shallow water equations with Coriolis force. Some transformations are introduced to transform the two-dimensional system into an one-dimensional system due to the symmetry of solutions. | en_US |
| DC.subject | 非線性雙曲型平衡律 | zh_TW |
| DC.subject | 淺水波方程 | zh_TW |
| DC.subject | 黎曼問題 | zh_TW |
| DC.subject | 旋轉效應 | zh_TW |
| DC.subject | Nonlinear hyperbolic balance laws | en_US |
| DC.subject | shallow water equations | en_US |
| DC.subject | Riemann problem | en_US |
| DC.subject | rotational effect | en_US |
| DC.title | Nonlinear Balance Laws with Rotational Source Terms | 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 |